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\usepackage[greek,english]{babel} -% \usepackage{ucs} -% \usepackage[utf8x]{inputenc} -% \usepackage{autofe} -\usepackage{agda} -\usepackage{graphicx} -\usepackage{url} -\renewcommand\UrlFont{\color{blue}\rmfamily} -\usepackage{stix} -\setcitestyle{round,aysep={}} - -\DeclareUnicodeCharacter{"2982}{\ensuremath{\typecolon}} % ⦂ -\DeclareUnicodeCharacter{"220E}{\ensuremath{\QED}} % ∎ - -\begin{document} -\title{Programming Language Foundations in Agda} -\author{Philip Wadler} -\authorrunning{P. Wadler} -\institute{University of Edinburgh\\ - \email{wadler@inf.ed.ac.uk}} -\maketitle -% -\begin{abstract} -The leading textbook for formal methods is \emph{Software Foundations} -(SF), written by Benjamin Pierce in collaboration with others, and -based on Coq. After five years using SF in the classroom, I have come -to the conclusion that Coq is not the best vehicle for this purpose, -as too much of the course needs to focus on learning tactics for proof -derivation, to the cost of learning programming language theory. -Accordingly, I have written a new textbook, \emph{Programming Language -Foundations in Agda} (PLFA). PLFA covers much of the same ground as -SF, although it is not a slavish imitation. - -What did I learn from writing PLFA? First, that it is possible. One -might expect that without proof tactics that the proofs become too -long, but in fact proofs in PLFA are about the same length as those in -SF. Proofs in Coq require an interactive environment to be understood, -while proofs in Agda can be read on the page. Second, that -constructive proofs of preservation and progress give immediate rise -to a prototype evaluator. This fact is obvious in retrospect but it is -not exploited in SF (which instead provides a separate normalise -tactic) nor can I find it in the literature. Third, that using raw -terms with a separate typing relation is far less perspicuous than -using inherently-typed terms. SF uses the former presentation, while -PLFA presents both; the former uses about 1.6 as many lines of Agda -code as the latter, roughly the golden ratio. - -The textbook is written as a literate Agda script, and can be found here: -\begin{center} -\url{http://plfa.inf.ed.ac.uk} -\end{center} -\keywords{Agda \and Coq \and lambda calculus \and dependent types.} -\end{abstract} - -\section{Introduction} - -The most profound connection between logic and computation is a pun. -The doctrine of Propositions as Types asserts that a certain kind of formal -structure may be read in two ways: either as a proposition in logic or -as a type in computing. Further, a related structure may be read as -either the proof of the proposition or as a programme of the -corresponding type. Further still, simplification of proofs -corresponds to evaluation of programs. - -Accordingly, the title of this paper, and the corresponding textbook, -\emph{Programming Language Foundations in Agda} (hence, PLFA) -also has two readings. It may be parsed as ``(Programming Language) -Foundations in Agda'' or ``Programming (Language Foundations) in -Agda''---the specifications in the proof assistant Agda both describe -programming languages and are themselves programmes. - -Since 2013, I have taught a course on Types and Semantics for -Programming Languages to fourth-year undergraduates and masters -students at the University of Edinburgh. An earlier version of that -course was based on \emph{Types and Programming Languages} by -\citet{Pierce-2002}, but my version was taught from its successor, -\emph{Software Foundations} (hence, SF) by \citet{Pierce-et-al-2010}, -which is based on the proof assistance Coq \citep{Huet-et-al-1997}. -I am convinced by the claim of \citet{Pierce-2009}, made in his ICFP -Keynote \emph{Lambda, The Ultimate TA}, that basing a course around a -proof assistant aids learning. - -However, after five years of experience, I have come to the conclusion -that Coq is not the best vehicle. Too much of the course needs to -focus on learning tactics for proof derivation, to the cost of -learning the fundamentals of programming language theory. Every -concept has to be learned twice: e.g., both the product data type, and -the corresponding tactics for introduction and elimination of -conjunctions. The rules Coq applies to generate induction hypotheses -can sometimes seem mysterious. While the \texttt{notation} construct -permits pleasingly flexible syntax, it can be confusing that the same -concept must always be given two names, e.g., both -\texttt{subst~N~x~M} and \texttt{N~[x~:=~M]}. Names of tactics are -sometimes short and sometimes long; naming conventions in the standard -library can be wildly inconsistent. \emph{Propositions as types} as a -foundation of proof is present but hidden. - -I found myself keen to recast the course in Agda \citep{Bove-et-al-2009}. -In Agda, there is -no longer any need to learn about tactics: there is just -dependently-typed programming, plain and simple. Introduction is -always by a constructor, elimination is always by pattern -matching. Induction is no longer a mysterious separate concept, but -corresponds to the familiar notion of recursion. Mixfix syntax is -flexible while using just one name for each concept, e.g., -substitution is \texttt{\_[\_:=\_]}. The standard library is not perfect, but -there is a fair attempt at consistency. \emph{Propositions as types} as a -foundation of proof is on proud display. - -Alas, there is no textbook for programming language theory in -Agda. \emph{Verified Functional Programming in Agda} by \citep{Stump-2016} -covers related ground, but focusses more on programming with dependent -types than on the theory of programming languages. - -The original goal was to simply adapt \emph{Software Foundations}, -maintaining the same text but transposing the code from Coq to Agda. -But it quickly became clear to me that after five years in the -classroom I had my own ideas about how to present the material. They -say you should never write a book unless you cannot \emph{not} write the -book, and I soon found that this was a book I could not not write. - -I am fortunate that my student, Wen Kokke, was keen to help. She -guided me as a newbie to Agda and provided an infrastructure that is -easy to use and produces pages that are a pleasure to view. -The bulk of the book was written January--June 2018, while on -sabbatical in Rio de Janeiro. - -This paper is a personal reflection, summarising what I learned in the -course of writing the textbook. Some of it reiterates advice that is -well-known to some members of the dependently-typed programming -community, but which deserves to be better known. The paper is -organised as follows. - -Section~2 outlines the -topics covered in PLFA, and notes what is omitted. - -Section~3 compares Agda and Coq as vehicles for pedagogy. Before -writing the book, it was not obvious that it was even possible; -conceivably, without tactics some of the proofs -balloon in size. In fact, it turns out that for the results in PLFA -and SF, the proofs are of roughly comparable size, and (in my opinion) -the proofs in PLFA are more readable and have a pleasing visual -structure. - -Section~4 observes that constructive proofs of progress and -preservation combine trivially to produce a constructive evaluator for -terms. This idea is obvious once you have seen it, yet I cannot -find it described in the literature. For instance, SF separately -implements a \texttt{normalise} tactic that has nothing to do with -progress and preservation. - -Section~5 claims that raw terms should be avoided in favour of -inherently-typed terms. PLFA develops lambda calculus with both raw -and inherently-typed terms, permitting a comparison. It turns out the -former is less powerful---it supports substitution only for closed -terms---but significantly longer---about 1.6 times as many lines of code, -roughly the golden ratio. - -I will argue that Agda has advantages over Coq for -pedagogic purposes. My focus is purely on the case of a proof assistant -as an aid to \emph{learning} formal semantics using examples of -\emph{modest} size. I admit up front that -there are many tasks for which Coq is better suited than Agda. -A proof assistant that supports tactics, such as Coq or Isabelle, -is essential for formalising serious mathematics, -such as the Four-Colour Theorem \citep{Gonthier-2008}, -the Odd-Order Theorem \citep{Gonthier-et-al-2013}, -or Kepler's Conjecture \citep{Hales-et-al-2017}, -or for establishing correctness of software at scale, -as with the CompCert compiler \citep{Leroy-2009,Kastner-et-al-2017} -or the SEL4 operating system \citep{Klein-2009,O'Connor-2016}. - -\section{Scope} - -PLFA is aimed at students in the last year of an undergraduate -honours programme or the first year of a master or doctorate degree. -It aims to teach the fundamentals of operational semantics of -programming languages, with simply-typed lambda calculus as the -central example. The textbook is written as a literate script in Agda. -As with SF, the hope is that using -a proof assistant will make the development more concrete -and accessible to students, and give them rapid feedback to find -and correct misaprehensions. - -The book is broken into two parts. The first part, Logical Foundations, -develops the needed formalisms. The second part, Programming Language -Foundations, introduces basic methods of operational semantics. -(SF is divided into books, the first two of which have the same names -as the two parts of PLFA, and cover similar material.) - -Each chapter has both a one-word name and a title, the one-word name -being both its module name and its file name. - -\subsection*{Part I, Logical Foundations} - -\paragraph{Naturals: Natural numbers} -Introduces the inductive definition of natural numbers in terms of -zero and successor, and recursive definitions of addition, -multiplication, and monus. Emphasis is put on how a tiny description -can specify an infinite domain. - -\paragraph{Induction: Proof by induction} -Introduces induction to prove properties -such as associativity and commutativity of addition. -Also introduces dependent functions to express universal quantification. -Emphasis is put on the correspondence between induction and recursion. - -\paragraph{Relations: Inductive definitions of relations} -Introduces inductive definitions of less than or equal on natural numbers, -and odd and even natural numbers. -Proves properties such as reflexivity, transitivity, and -anti-symmetry, and that the sum of two odd numbers is even. -Emphasis is put on proof by induction over evidence that a relation holds. - -\paragraph{Equality: Equality and equational reasoning} -Gives Martin L\"of's and Leibniz's definitions of equality, and proves -them equivalent, and defines the notation for equational reasoning used -throughout the book. - -\paragraph{Isomorphism: Isomorphism and embedding} -Introduces isomorphism, which plays an important role in the -subsequent development. Also introduces dependent records, lambda -terms, and extensionality. - -\paragraph{Connectives: Conjunction, disjunction, and implication} -Introduces product, sum, unit, empty, and function types, and their -interpretations as connectives of logic under Propositions as Types. -Emphasis is put on the analogy between these types and product, sum, -unit, zero, and exponential on naturals; e.g., product of numbers is -commutative and product of types is commutative up to isomorphism. - -\paragraph{Negation: Negation, with intuitionistic and classical logic} -Introduces logical negation as a function into the empty -type, and explains the difference between classical and intuitionistic -logic. - -\paragraph{Quantifiers: Universals and existentials} -Recaps universal quantifiers and their correspondence to dependent -functions, and introduces existential quantifiers and their -correspondence to dependent products. - -\paragraph{Lists: Lists and higher-order functions} -Gives two different definitions of reverse and proves them equivalent. -Introduces map and fold and their properties, including that fold left -and right are equivalent in a monoid. Introduces predicates that hold -for all or any member of a list, with membership as a specialisation -of the latter. - -\paragraph{Decidable: Booleans and decision procedures} -Introduces booleans and decidable types, and why the latter is to be -preferred to the former. - -\subsection*{Part II, Programming Language Foundations} - -\paragraph{Lambda: Introduction to lambda calculus} -Introduces lambda calculus, using a representation with named -variables and a separate typing relation. The language used is PCF, -with variables, lambda abstraction, application, zero, successor, case -over naturals, and fixpoint. Reduction is call-by-value and restricted -to closed terms. - -\paragraph{Properties: Progress and preservation} -Proves key properties of simply-typed -lambda calculus, including progress and preservation. Progress and -preservation are combined to yield an evaluator. - -\paragraph{DeBruijn: Inherently typed de Bruijn representation} -Introduces de Bruijn numbers and the inherently-typed representation. -Emphasis is put on the structural similarity between a term and its -corresponding type derivation; in particular, de Bruijn numbers -correspond to the judgment that a variable is well-typed under a given -environment. - -\paragraph{More: More constructs of simply-typed lambda calculus} -Introduces product, sum, unit, and empty types as well as lists and let bindings -are explained. Typing and reduction rules are given informally; a few -are then give formally, and the rest are left as exercises for the reader. -The inherently typed representation is used. - -\paragraph{Bisimulation: Relating reduction systems} -Shows how to translate the language with ``let'' terms -to the language without, representing a let as an application of an abstraction, -and shows how to relate the source and target languages with a bisimulation. - -\paragraph{Inference: Bidirectional type inference} -Introduces bidirectional type inference, and applies it to convert from -a representation with named variables and a separate typing relation -to a representation de Bruijn indices with inherent types. - -\paragraph{Untyped: Untyped calculus with full normalisation} -As a variation on earlier themes, discusses an untyped (but inherently -scoped) lambda calculus. Reduction is call-by-name over open terms, -with full normalisation (including reduction under lambda terms). Emphasis -is put on the correspondence between the structure of a term and -evidence that it is in normal form. - -\subsection*{Discussion} - -PLFA and SF differ in several particulars. PLFA begins with a computationally -complete language, PCF, while SF begins with a minimal language, simply-typed -lambda calculus with booleans. PLFA does not include type annotations in terms, -and uses bidirectional type inference, while SF has terms with unique types and -uses type checking. SF also covers a simple imperative language with Hoare logic, -subtyping, record types, mutable references, and normalisation none of which are -treated by PLFA. PLFA covers an inherently-typed de Bruijn -representation, bidirectional type inference, bisimulation, and an -untyped call-by-value language with full normalisation, none of which -are treated by SF. - -SF has a third volume, written by Andrew Appel, on Verified Functional -Algorithms. I'm not sufficiently familiar with that volume to have a view -on whether it would be easy or hard to cover that material in Agda. - -There is more material that would be desirable to include in PLFA -which was not due to limits of time. In future years, PLFA may be -extended to cover additional material, including mutable references, -normalisation, System F, pure type systems, and denotational -semantics. I'd especially like to include pure type systems as they -provide the readers with a formal model close to the dependent types -used in the book. My attempts so far to formalise pure type systems -have proved challenging. - -\section{Proofs in Agda and Coq} - -\begin{figure}[t] - \includegraphics[width=\textwidth]{figures/plfa-progress-1.png} - \caption{PLFA, Progress (1/2)} - \label{fig:plfa-progress-1} -\end{figure} - -\begin{figure}[p] - \includegraphics[width=\textwidth]{figures/plfa-progress-2.png} - \includegraphics[width=\textwidth]{figures/plfa-progress-3a.png} - \caption{PLFA, Progress (2/2)} - \label{fig:plfa-progress-2} -\end{figure} - -\begin{figure}[t] - \includegraphics[width=\textwidth]{figures/sf-progress-1.png} - \caption{SF, Progress (1/2)} - \label{fig:sf-progress-1} -\end{figure} - -\begin{figure}[t] - \includegraphics[width=\textwidth]{figures/sf-progress-2.png} - \caption{SF, Progress (2/2)} - \label{fig:sf-progress-2} -\end{figure} - -% \begin{figure}[t] -% \includegraphics[width=\textwidth]{figures/sf-progress-3.png} -% \caption{SF, Progress (3/3)} -% \label{fig:sf-progress-3} -% \end{figure} - -The introduction listed several reasons for preferring Agda over Coq. -But Coq tactics enable more compact proofs. Would it be possible for -PLFA to cover the same material as SF, or would the proofs -balloon to unmanageable size? - -As an experiment, I first rewrote SF's development of simply-typed -lambda calculus (SF, Chapters Stlc and StlcProp) in Agda. I was a -newbie to Agda, and translating the entire development, sticking as -closely as possible to the development in SF, took me about two days. -I was pleased to discover that the proofs remained about the same -size. - -There was also a pleasing surprise regarding the structure of the -proofs. While most proofs in both SF and PLFA are carried out by -induction over the evidence that a term is well typed, in SF the -central proof, that substitution preserves types, is carried out by -induction on terms, not evidence of typing, for a technical reason -(the context is extended by a variable binding, and hence not -sufficiently ``generic'' to work well with Coq's induction tactic). In -Agda, I had no trouble formulating the same proof over evidence that -the term is well typed, and didn't even notice SF's description of the -issue until I was done. - -The rest of the book was relatively easy to complete. The closest to -an issue with proof size arose when proving that reduction is -deterministic. There are 18 cases, one case per line. Ten of the -cases deal with the situation where there are potentially two -different reductions; each case is trivially shown to be -impossible. Five of the ten cases are redundant, as they just involve -switching the order of the arguments. I had to copy the cases -suitably permuted. It would be preferable to reinvoke the proof on -switched arguments, but this would not pass Agda's termination checker -since swapping the arguments doesn't yield a recursive call on -structurally smaller arguments. (I suspect tactics could cut down the -proof significantly. I tried to compare with SF's proof that reduction -is deterministic, but failed to find that proof.) - -SF covers an imperative language with Hoare logic, culminating in -code that takes an imperative programme suitably decorated with preconditions -and postconditions and generates the necessary -verification conditions. The conditions are then verified by a custom -tactic, where any questions of arithmetic are resolved by the -``omega'' tactic invoking a decision procedure. The entire -exercise would be easy to repeat in Agda, save for the last step: I -suspect Agda's automation would not be up to verifying the generated -conditions, requiring tedious proofs by hand. However, I had already -decided to omit Hoare logic in order to focus on lambda calculus. - -To give a flavour of how the texts compare, I show the -proof of progress for simply-typed lambda calculus from both texts. -Figures~\ref{fig:plfa-progress-1} and \ref{fig:plfa-progress-2} -are taken from PLFA, Chapter Properties, -while Figures~\ref{fig:sf-progress-1} and \ref{fig:sf-progress-2} -are taken from SF, Chapter StlcProp. -Both texts are intended to be read online, -and the figures were taken by grabbing bitmaps of the text as -displayed in a browser. - -PLFA puts the formal statements first, followed by informal explanation. -PLFA introduces an auxiliary relation \texttt{Progress M} to capture -progress; an exercise (not shown) asks the reader to show it isomorphic -to the usual formulation with a disjunction and an existential. -Layout is used to present the auxiliary relation in inference rule form. -In Agda, any line beginning with two dashes is treated as a comment, making -it easy to use a line of dashes to separate hypotheses from conclusion -in inference rules. The proof is layed out carefully, with a neat -indented structure to emphasise the case analysis, and all right-hand -sides lined-up in the same column. My hope as an author is that students -will read the formal proof first, and use it as a tabular guide -to the informal explanation that follows. - -SF puts the informal explanation first, followed by the formal proof. -The text hides the formal proof script under an icon; -the figures shows what appears when the icon is expanded. -As a teacher I was aware that -students might skip it on a first reading, and I would have to hope the -students would return to it and step through it with an interactive -tool in order to make it intelligible. I expect the students skipped over -many such proofs. This particular proof forms the basis for a question -of the mock exam and the past exams, so I expect most students will actually -look at this one if not all the others. - -Both Coq and Agda support interactive proof. Interaction in Coq is -supported by Proof General, based on Emacs, or by CoqIDE, which -provides an interactive development environment of a sort familiar to -most students. Interaction in Agda is supported by an Emacs mode. - -In Coq, interaction consists of stepping through a proof script, at -each point examining the current goal and the variables currently in -scope, and executing a new command in the script. Tactics are a whole -sublanguage, which must be learned in addition to the langauge for -expressing specifications. There are many tactics one can invoke in -the script at each point; one menu in CoqIDE lists about one hundred -tactics one might invoked, some in alphabetic submenus. A Coq -script presents the specification proved and the tactics executed. -Interaction is recorded in a script, which the students -may step through at their leisure. SF contains some prose descriptions -of stepping through scripts, but mainly contains scripts that students -are encouraged to step through on their own. - -In Agda, interaction consists of writing code with holes, at each -point examining the current goal and the variables in scope, and -typing code or executing an Emacs command. The number of commands -available is much smaller than with Coq, the most important ones being -to show the type of the hole and the types of the variables in scope; -to check the code; to do a case analysis on a given variable; or to -guess how to fill in the hole with constructors or variables in scope. -An Agda proof consists of typed code. The interaction is \emph{not} -recorded. Students may recreate it by commenting out bits of code and -introducing a hole in their place. PLFA contains some prose descriptions -of interactively building code, but mainly contains code that students -can read. They may also introduce holes to interact with the code, but -I expect this will be rarer than with SF. - -SF encourages students to interact with all the scripts in the text. -Trying to understand a Coq proof script without running it -interactively is a bit like understanding a chess game by reading -through the moves without benefit of a board, keeping it all in your -head. In contrast, PLFA provides code that students can read. -Understanding the code often requires working out the types, but -(unlike executing a Coq proof script) this is often easy to do in your -head; when it is not easy, students still have the option of -interaction. - -While students are keen to interact to create code, I have found they -are reluctant to interact to understand code created by others. For -this reason, I suspect this may make Agda a more suitable vehicle for -teaching. Nate Foster suggests this hypothesis is ripe to be tested -empirically, perhaps using techniques similar to those of -\citet{Danas-et-al-2017}. - -Neat layout of definitions such as that in -Figure~\ref{fig:plfa-progress-2} in Emacs requires a monospaced font -supporting all the necessary characters. Securing one has proved -tricky. As of this writing, we use FreeMono, but it lacks a few -characters (⦂ and ∎) which are loaded from fonts with a different -width. Long arrows are necessarily more than a single character wide. -Instead, we compose reduction —→ from an em dash — and an arrow →. -Similarly for reflexive and transitive closure —↠. - -\section{Progress + Preservation = Evaluation} - -\begin{figure} - \includegraphics[width=\textwidth]{figures/plfa-eval.png} - \caption{PLFA, Evaluation} - \label{fig:plfa-eval} -\end{figure} - -A standard approach to type soundness used by many texts, -including SF and PLFA, is to prove progress and preservation, -as first suggested by \citet{Wright-and-Felleisen-1994}. - -\begin{theorem}[Progress] Given term $M$ and type $A$ such that -$\emptyset \vdash M : A$ then either $M$ is a value or -$M \longrightarrow N$ for some term $N$. -\end{theorem} - -\begin{theorem}[Preservation] Given terms $M$ and $N$ and type $A$ -such that $\emptyset \vdash M : A$ and $M \longrightarrow N$, then -$\emptyset \vdash N : A$. \end{theorem} - -A consequence is that when a term reduces to a value it retains -the same type. Further, well-typed terms don't get stuck: -that is, unable to reduce further but not yet reduced to a value. -The formulation neatly accommodates the case of non-terminating -reductions that never reach a value. - -One useful by-product of the formal specification of a programming -language may be a prototype implementation of that language. For -instance, given a language specified by a reduction relation, such -as lambda calculus, the prototype might accept a term and apply reductions -to reduce it to a value. Typically, one might go to some extra work to -create such a prototype. For instance, SF introduces a \texttt{normalize} -tactic for this purpose. Some formal methods frameworks, such as -Redex \citep{Felleisen-et-al-2009} and K \citep{Rosu-Serbanuta-2010}, -advertise as one of their advantages that they can generate -a prototype from descriptions of the reduction rules. - -I was therefore surprised to realise that any constructive proof of -progress and preservation \emph{automatically} gives rise to such a -prototype. The input is a term together with evidence the term is -well-typed. (In the inherently-typed case, these are the same thing.) -Progress determines whether we are done, or should take another step; -preservation provides evidence that the new term is well-typed, so we -may iterate. In a language with guaranteed termination, we cannot -iterate forever, but there are a number of well-known techniques to -address that issue; see, e.g., \citet{Bove-and-Capretta-2001}, -\citet{Capretta-2005}, or \citet{McBride-2015}. -We use the simplest, similar to McBride's \emph{petrol-driven} (or -\emph{step-indexed}) semantics: provide a maximum number of steps to -execute; if that number proves insufficient, the evaluator returns the -term it reached, and one can resume execution by providing a new -number. - -Such an evaluator from PLFA is shown in Figure~\ref{fig:plfa-eval}, -where (inspired by McBride and cryptocurrencies) the number of steps -to execute is referred to as \emph{gas}. All of the example reduction -sequences in PLFA were computed by the evaluator and then edited to -improve readability; in addition, the text includes examples of -running the evaluator with its unedited output. - -It is immediately obvious that progress and preservation make it -trivial to construct a prototype evaluator, and yet I cannot find such -an observation in the literature nor mentioned in an introductory -text. It does not appear in SF, nor in \citet{Harper-2016}. A plea -to the Agda mailing list failed to turn up any prior mentions. -The closest related observation I have seen in the published -literature is that evaluators can be extracted from proofs of -normalisation \citep{Berger-1993,Dagand-and-Scherer-2015}. - -(Late addition: My plea to the Agda list eventually bore fruit. Oleg -Kiselyov directed me to unpublished remarks on his web page where he -uses the name \texttt{eval} for a proof of progress and notes ``the -very proof of type soundness can be used to evaluate sample -expressions'' \citet{Kiselyov-2009}.) - - -\section{Inherent typing is golden} - -The second part of PLFA first discusses two different approaches to -modelling simply-typed lambda calculus. It first presents ``raw'' -terms with named variables and a separate typing relation and -then shifts to inherently-typed terms with de Bruijn indices. -Before writing the text, I had thought the two approaches -complementary, with no clear winner. Now I am convinced that the -inherently-typed approach is superior. - -The clearest indication comes from counting lines of code. -Stripping out examples and any proofs that appear in one but not the -other, the development for raw terms takes 451 lines (216 lines of -definitions and 235 lines for the proofs) and the development for -inherently typed terms takes 275 lines (with definitions and proofs -interleaved, as substitution cannot be defined without -also showing it preserves types). We have 451 / 235 = 1.64, close -to the golden ratio. - -Another indication is expressive power. The approach with named -variables and separate typing is restricted to substitution of one -variable by a single closed term, while de Bruijn indices with -inherent typing support simultaneous substitution of all variables by -open terms, using a pleasing formulation due to \citet{McBride-2005}, -inspired by \citet{Goguen-and-McKinna-1997} and described -in \citet{Allais-et-al-2017}. In fact, I managed to extend -McBride's approach to support raw terms with named variables, but the -resulting code was too long and too complex for use in an introductory -text, requiring 695 lines of code---more than the total for the other -two approaches combined. - -The text develops both approaches because named variables with -separate typing is more familiar, and placing de Bruijn indices and -inherent typing first would lead to a steep learning curve. By -presenting the more long-winded but less powerful approach first, -students can see for themselves the advantages of de Bruijn indices -with inherent typing. - -There are actually four possible designs, as the choice of named -variables vs de Bruijn indices, and the choice of raw vs -inherently-typed terms may be made independently. There are synergies -beween the two. Manipulation of de Bruijn indices can be notoriously -error-prone without inherent-typing to give assurance of correctness. -In inherent typing with named variables, simultaneous substitution by -open terms remains difficult. - -The benefits of replacing raw typing by inherent are well -known to some. The technique was introduced by -\citet{Altenkirch-and-Reus-1999}, and widely used elsewhere, -notably by \citet{Chapman-2009} and \citet{Allais-et-al-2017}. -I'm grateful to David Darais for bringing it to my attention. - - -\section{Conclusion} - -I look forward to experience teaching from the new text, -and encourage others to use it too. Please comment! - - -\paragraph{Acknowledgements} - -A special thank you to my coauthor, Wen Kokke. For inventing ideas on -which PLFA is based, and for hand-holding, many thanks to Conor -McBride, James McKinna, Ulf Norell, and Andreas Abel. For showing me -how much more compact it is to avoid raw terms, thanks to David -Darais. For inspiring my work by writing SF, thanks to Benjamin -Pierce and his coauthors. For comments on a draft of this paper, an -extra thank you to James McKinna, Ulf Norell, Andreas Abel, and -Benjamin Pierce. - -\bibliographystyle{plainnat} -%\bibliographystyle{splncsnat.bst} -\bibliography{PLFA} - - - -\end{document} - - diff --git a/papers/sbmf/latex/agda.sty b/papers/sbmf/latex/agda.sty deleted file mode 100644 index c3f55086..00000000 --- a/papers/sbmf/latex/agda.sty +++ /dev/null @@ -1,691 +0,0 @@ -% ---------------------------------------------------------------------- -% Some useful commands when doing highlighting of Agda code in LaTeX. -% ---------------------------------------------------------------------- - -\ProvidesPackage{agda} - -\RequirePackage{ifxetex, ifluatex, xifthen, xcolor, polytable, etoolbox, - calc, environ} - -% https://tex.stackexchange.com/questions/47576/combining-ifxetex-and-ifluatex-with-the-logical-or-operation -\newif\ifxetexorluatex -\ifxetex - \xetexorluatextrue -\else - \ifluatex - \xetexorluatextrue - \else - \xetexorluatexfalse - 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Example: -% -% \usepackage{ifthen} -% -% % Insert extra space before some tokens. -% \DeclareRobustCommand{\AgdaFormat}[2]{% -% \ifthenelse{ -% \equal{#1}{≡⟨} \OR -% \equal{#1}{≡⟨⟩} \OR -% \equal{#1}{∎} -% }{\ }{}#2} -% -% Note the use of \DeclareRobustCommand. - -\newcommand{\AgdaFormat}[2]{#2} - -\newcommand{\AgdaBound}[1] - {\AgdaNoSpaceMath{\AgdaBoundFontStyle{\textcolor{AgdaBound}{\AgdaFormat{#1}{#1}}}}} -\newcommand{\AgdaInductiveConstructor}[1] - {\AgdaNoSpaceMath{\AgdaFontStyle{\textcolor{AgdaInductiveConstructor}{\AgdaFormat{#1}{\AgdaLink{#1}}}}}} -\newcommand{\AgdaCoinductiveConstructor}[1] - {\AgdaNoSpaceMath{\AgdaFontStyle{\textcolor{AgdaCoinductiveConstructor}{\AgdaFormat{#1}{\AgdaLink{#1}}}}}} -\newcommand{\AgdaDatatype}[1] - {\AgdaNoSpaceMath{\AgdaFontStyle{\textcolor{AgdaDatatype}{\AgdaFormat{#1}{\AgdaLink{#1}}}}}} -\newcommand{\AgdaField}[1] - {\AgdaNoSpaceMath{\AgdaFontStyle{\textcolor{AgdaField}{\AgdaFormat{#1}{\AgdaLink{#1}}}}}} -\newcommand{\AgdaFunction}[1] - {\AgdaNoSpaceMath{\AgdaFontStyle{\textcolor{AgdaFunction}{\AgdaFormat{#1}{\AgdaLink{#1}}}}}} -\newcommand{\AgdaMacro}[1] - {\AgdaNoSpaceMath{\AgdaFontStyle{\textcolor{AgdaMacro}{\AgdaFormat{#1}{\AgdaLink{#1}}}}}} -\newcommand{\AgdaModule}[1] - {\AgdaNoSpaceMath{\AgdaFontStyle{\textcolor{AgdaModule}{\AgdaFormat{#1}{\AgdaLink{#1}}}}}} -\newcommand{\AgdaPostulate}[1] - {\AgdaNoSpaceMath{\AgdaFontStyle{\textcolor{AgdaPostulate}{\AgdaFormat{#1}{\AgdaLink{#1}}}}}} -\newcommand{\AgdaPrimitive}[1] - {\AgdaNoSpaceMath{\AgdaFontStyle{\textcolor{AgdaPrimitive}{\AgdaFormat{#1}{#1}}}}} -\newcommand{\AgdaRecord}[1] - {\AgdaNoSpaceMath{\AgdaFontStyle{\textcolor{AgdaRecord}{\AgdaFormat{#1}{\AgdaLink{#1}}}}}} -\newcommand{\AgdaArgument}[1] - {\AgdaNoSpaceMath{\AgdaBoundFontStyle{\textcolor{AgdaArgument}{\AgdaFormat{#1}{#1}}}}} - -% Other aspect commands. -\newcommand{\AgdaFixityOp} [1]{\AgdaNoSpaceMath{$#1$}} -\newcommand{\AgdaDottedPattern} [1]{\textcolor{AgdaDottedPattern}{#1}} -\newcommand{\AgdaUnsolvedMeta} [1] - {\AgdaFontStyle{\colorbox{AgdaUnsolvedMeta}{#1}}} -\newcommand{\AgdaTerminationProblem}[1] - {\AgdaFontStyle{\colorbox{AgdaTerminationProblem}{#1}}} -\newcommand{\AgdaIncompletePattern} [1]{\colorbox{AgdaIncompletePattern}{#1}} -\newcommand{\AgdaError} [1] - {\AgdaFontStyle{\textcolor{AgdaError}{\underline{#1}}}} -\newcommand{\AgdaCatchallClause} [1]{#1} % feel free to change this - -% Used to hide code from LaTeX. -% -% Note that this macro has been deprecated in favour of giving the -% hide argument to the code environment. -\long\def\AgdaHide#1{\ignorespaces} - -% Misc. -\newcommand{\AgdaHole}[1]{\colorbox{AgdaHole}{#1}} - -% ---------------------------------------------------------------------- -% The code environment. - -\newcommand{\AgdaCodeStyle}{} -% \newcommand{\AgdaCodeStyle}{\tiny} - -\ifdefined\mathindent - {} -\else - \newdimen\mathindent\mathindent\leftmargini -\fi - -% Adds the given amount of vertical space and starts a new line. -% -% The implementation comes from lhs2TeX's polycode.fmt, written by -% Andres Löh. -\newcommand{\Agda@NewlineWithVerticalSpace}[1]{% - {\parskip=0pt\parindent=0pt\par\vskip #1\noindent}} - -% Should there be space around code? -\newboolean{Agda@SpaceAroundCode} - -% Use this command to avoid extra space around code blocks. -\newcommand{\AgdaNoSpaceAroundCode}{% - \setboolean{Agda@SpaceAroundCode}{false}} - -% Use this command to include extra space around code blocks. -\newcommand{\AgdaSpaceAroundCode}{% - \setboolean{Agda@SpaceAroundCode}{true}} - -% By default space is inserted around code blocks. -\AgdaSpaceAroundCode{} - -% Sometimes one might want to break up a code block into multiple -% pieces, but keep code in different blocks aligned with respect to -% each other. Then one can use the AgdaAlign environment. Example -% usage: -% -% \begin{AgdaAlign} -% \begin{code} -% code -% code (more code) -% \end{code} -% Explanation... -% \begin{code} -% aligned with "code" -% code (aligned with (more code)) -% \end{code} -% \end{AgdaAlign} -% -% Note that AgdaAlign environments should not be nested. -% -% Sometimes one might also want to hide code in the middle of a code -% block. This can be accomplished in the following way: -% -% \begin{AgdaAlign} -% \begin{code} -% visible -% \end{code} -% \begin{code}[hide] -% hidden -% \end{code} -% \begin{code} -% visible -% \end{code} -% \end{AgdaAlign} -% -% However, the result may be ugly: extra space is perhaps inserted -% around the code blocks. -% -% The AgdaSuppressSpace environment ensures that extra space is only -% inserted before the first code block, and after the last one (but -% not if \AgdaNoSpaceAroundCode{} is used). Example usage: -% -% \begin{AgdaAlign} -% \begin{code} -% code -% more code -% \end{code} -% Explanation... -% \begin{AgdaSuppressSpace} -% \begin{code} -% aligned with "code" -% aligned with "more code" -% \end{code} -% \begin{code}[hide] -% hidden code -% \end{code} -% \begin{code} -% also aligned with "more code" -% \end{code} -% \end{AgdaSuppressSpace} -% \end{AgdaAlign} -% -% Note that AgdaSuppressSpace environments should not be nested. -% -% There is also a combined environment, AgdaMultiCode, that combines -% the effects of AgdaAlign and AgdaSuppressSpace. - -% The number of the current/next code block (excluding hidden ones). -\newcounter{Agda@Current} -\setcounter{Agda@Current}{0} - -% The number of the previous code block (excluding hidden ones), used -% locally in \Agda@SuppressEnd. -\newcounter{Agda@Previous} - -% Is AgdaAlign active? -\newboolean{Agda@Align} -\setboolean{Agda@Align}{false} - -% The number of the first code block (if any) in a given AgdaAlign -% environment. -\newcounter{Agda@AlignStart} - -\newcommand{\Agda@AlignStart}{% - \ifthenelse{\boolean{Agda@Align}}{% - \PackageError{agda}{Nested AgdaAlign environments}{% - AgdaAlign and AgdaMultiCode environments must not be - nested.}}{% - \setboolean{Agda@Align}{true}% - \setcounter{Agda@AlignStart}{\value{Agda@Current}}}} - -\newcommand{\Agda@AlignEnd}{\setboolean{Agda@Align}{false}} - -\newenvironment{AgdaAlign}{% - \Agda@AlignStart{}}{% - \Agda@AlignEnd{}% - \ignorespacesafterend} - -% Is AgdaSuppressSpace active? -\newboolean{Agda@Suppress} -\setboolean{Agda@Suppress}{false} - -% The number of the first code block (if any) in a given -% AgdaSuppressSpace environment. -\newcounter{Agda@SuppressStart} - -% Does a "do not suppress space after" label exist for the current -% code block? (This boolean is used locally in the code environment's -% implementation.) -\newboolean{Agda@DoNotSuppressSpaceAfter} - -\newcommand{\Agda@SuppressStart}{% - \ifthenelse{\boolean{Agda@Suppress}}{% - \PackageError{agda}{Nested AgdaSuppressSpace environments}{% - AgdaSuppressSpace and AgdaMultiCode environments must not be - nested.}}{% - \setboolean{Agda@Suppress}{true}% - \setcounter{Agda@SuppressStart}{\value{Agda@Current}}}} - -% Marks the given code block as one that space should not be -% suppressed after (if AgdaSpaceAroundCode and AgdaSuppressSpace are -% both active). -\newcommand{\Agda@DoNotSuppressSpaceAfter}[1]{% - % The use of labels is intended to ensure that LaTeX will provide a - % warning if the document needs to be recompiled. - \label{Agda@DoNotSuppressSpaceAfter@#1}} - -\newcommand{\Agda@SuppressEnd}{% - \ifthenelse{\value{Agda@SuppressStart} = \value{Agda@Current}}{}{% - % Mark the previous code block in the .aux file. - \setcounter{Agda@Previous}{\theAgda@Current-1}% - \immediate\write\@auxout{% - \noexpand\Agda@DoNotSuppressSpaceAfter{\theAgda@Previous}}}% - \setboolean{Agda@Suppress}{false}} - -\newenvironment{AgdaSuppressSpace}{% - \Agda@SuppressStart{}}{% - \Agda@SuppressEnd{}% - \ignorespacesafterend} - -\newenvironment{AgdaMultiCode}{% - \Agda@AlignStart{}% - \Agda@SuppressStart{}}{% - \Agda@SuppressEnd{}% - \Agda@AlignEnd{}% - \ignorespacesafterend} - -% Vertical space used for empty lines. By default \baselineskip. -\newlength{\AgdaEmptySkip} -\setlength{\AgdaEmptySkip}{\baselineskip} - -% Extra space to be inserted for empty lines (the difference between -% \AgdaEmptySkip and \baselineskip). Used internally. -\newlength{\AgdaEmptyExtraSkip} - -% The code environment. -% -% Code can be hidden by writing \begin{code}[hide]. -% -% The implementation is based on plainhscode in lhs2TeX's -% polycode.fmt, written by Andres Löh. -\NewEnviron{code}[1][]{% - % Conditionally hide the code. - \ifthenelse{\equal{#1}{hide}}{}{% - % - % Conditionally emit space before the code block. Unconditionally - % switch to a new line. - \ifthenelse{\boolean{Agda@SpaceAroundCode} \and% - \(\not \boolean{Agda@Suppress} \or% - \value{Agda@SuppressStart} = \value{Agda@Current}\)}{% - \Agda@NewlineWithVerticalSpace{\abovedisplayskip}}{% - \Agda@NewlineWithVerticalSpace{0pt}}% - % - % Indent the entire code block. - \advance\leftskip\mathindent% - % - % The code's style can be customised. - \AgdaCodeStyle% - % - % Used to control the height of empty lines. - \setlength{\AgdaEmptyExtraSkip}{\AgdaEmptySkip - \baselineskip}% - % - % The environment used to handle indentation (of individual lines) - % and alignment. - \begin{pboxed}% - % - % Conditionally preserve alignment between code blocks. - \ifthenelse{\boolean{Agda@Align}}{% - \ifthenelse{\value{Agda@AlignStart} = \value{Agda@Current}}{% - \savecolumns}{% - \restorecolumns}}{}% - % - % The code. - \BODY% - \end{pboxed}% - % - % Does the label Agda@DoNotSuppressAfter@<current code block - % number> exist? - \ifcsdef{r@Agda@DoNotSuppressSpaceAfter@\theAgda@Current}{% - \setboolean{Agda@DoNotSuppressSpaceAfter}{true}}{% - \setboolean{Agda@DoNotSuppressSpaceAfter}{false}}% - % - % Conditionally emit space after the code block. Unconditionally - % switch to a new line. - \ifthenelse{\boolean{Agda@SpaceAroundCode} \and% - \(\not \boolean{Agda@Suppress} \or% - \boolean{Agda@DoNotSuppressSpaceAfter}\)}{% - \Agda@NewlineWithVerticalSpace{\belowdisplayskip}}{% - \Agda@NewlineWithVerticalSpace{0pt}}% - % - % Step the code block counter, but only for non-hidden code. - \stepcounter{Agda@Current}}} - -% Space inserted after tokens. -\newcommand{\AgdaSpace}{ } - -% Space inserted to indent something. -\newcommand{\AgdaIndentSpace}{\AgdaSpace{}$\;\;$} - -% Default column for polytable. -\defaultcolumn{@{}l@{\AgdaSpace{}}} - -% \AgdaIndent expects a non-negative integer as its only argument. -% This integer should be the distance, in code blocks, to the thing -% relative to which the text is indented. -% -% The default implementation only indents if the thing that the text -% is indented relative to exists in the same code block or is wrapped -% in the same AgdaAlign or AgdaMultiCode environment. 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a/papers/sbmf/llncs2e/history.txt +++ /dev/null @@ -1,139 +0,0 @@ -Version history for the LLNCS LaTeX2e class - - date filename version action/reason/acknowledgements ----------------------------------------------------------------------------- - 29.5.96 letter.txt beta naming problems (subject index file) - thanks to Dr. Martin Held, Salzburg, AT - - subjindx.ind renamed to subjidx.ind as required - by llncs.dem - - history.txt introducing this file - - 30.5.96 llncs.cls incompatibility with new article.cls of - 1995/12/20 v1.3q Standard LaTeX document class, - \if@openbib is no longer defined, - reported by Ralf Heckmann and Graham Gough - solution by David Carlisle - - 10.6.96 llncs.cls problems with fragile commands in \author field - reported by Michael Gschwind, TU Wien - - 25.7.96 llncs.cls revision a corrects: - wrong size of text area, floats not \small, - some LaTeX generated texts - reported by Michael Sperber, Uni Tuebingen - - 16.4.97 all files 2.1 leaving beta state, - raising version counter to 2.1 - - 8.6.97 llncs.cls 2.1a revision a corrects: - unbreakable citation lists, reported by - Sergio Antoy of Portland State University - -11.12.97 llncs.cls 2.2 "general" headings centered; two new elements - for the article header: \email and \homedir; - complete revision of special environments: - \newtheorem replaced with \spnewtheorem, - introduced the theopargself environment; - two column parts made with multicol package; - add ons to work with the hyperref package - -07.01.98 llncs.cls 2.2 changed \email to simply switch to \tt - -25.03.98 llncs.cls 2.3 new class option "oribibl" to suppress - changes to the thebibliograpy environment - and retain pure LaTeX codes - useful - for most BibTeX applications - -16.04.98 llncs.cls 2.3 if option "oribibl" is given, extend the - thebibliograpy hook with "\small", suggested - by Clemens Ballarin, University of Cambridge - -20.11.98 llncs.cls 2.4 pagestyle "titlepage" - useful for - compilation of whole LNCS volumes - -12.01.99 llncs.cls 2.5 counters of orthogonal numbered special - environments are reset each new contribution - -27.04.99 llncs.cls 2.6 new command \thisbottomragged for the - actual page; indention of the footnote - made variable with \fnindent (default 1em); - new command \url that copys its argument - - 2.03.00 llncs.cls 2.7 \figurename and \tablename made compatible - to babel, suggested by Jo Hereth, TU Darmstadt; - definition of \url moved \AtBeginDocument - (allows for url package of Donald Arseneau), - suggested by Manfred Hauswirth, TU of Vienna; - \large for part entries in the TOC - -16.04.00 llncs.cls 2.8 new option "orivec" to preserve the original - vector definition, read "arrow" accent - -17.01.01 llncs.cls 2.9 hardwired texts made polyglot, - available languages: english (default), - french, german - all are "babel-proof" - -20.06.01 splncs.bst public release of a BibTeX style for LNCS, - nobly provided by Jason Noble - -14.08.01 llncs.cls 2.10 TOC: authors flushleft, - entries without hyphenation; suggested - by Wiro Niessen, Imaging Center - Utrecht - -23.01.02 llncs.cls 2.11 fixed footnote number confusion with - \thanks, numbered institutes, and normal - footnote entries; error reported by - Saverio Cittadini, Istituto Tecnico - Industriale "Tito Sarrocchi" - Siena - -28.01.02 llncs.cls 2.12 fixed footnote fix; error reported by - Chris Mesterharm, CS Dept. Rutgers - NJ - -28.01.02 llncs.cls 2.13 fixed the fix (programmer needs vacation) - -17.08.04 llncs.cls 2.14 TOC: authors indented, smart \and handling - for the TOC suggested by Thomas Gabel - University of Osnabrueck - -07.03.06 splncs.bst fix for BibTeX entries without year; patch - provided by Jerry James, Utah State University - -14.06.06 splncs_srt.bst a sorting BibTeX style for LNCS, feature - provided by Tobias Heindel, FMI Uni-Stuttgart - -16.10.06 llncs.dem 2.3 removed affiliations from \tocauthor demo - -11.12.07 llncs.doc note on online visibility of given e-mail address - -15.06.09 splncs03.bst new BibTeX style compliant with the current - requirements, provided by Maurizio "Titto" - Patrignani of Universita' Roma Tre - -30.03.10 llncs.cls 2.15 fixed broken hyperref interoperability; - patch provided by Sven Koehler, - Hamburg University of Technology - -15.04.10 llncs.cls 2.16 fixed hyperref warning for informatory TOC entries; - introduced \keywords command - finally; - blank removed from \keywordname, flaw reported - by Armin B. Wagner, IGW TU Vienna - -15.04.10 llncs.cls 2.17 fixed missing switch "openright" used by \backmatter; - flaw reported by Tobias Pape, University of Potsdam - -27.09.13 llncs.cls 2.18 fixed "ngerman" incompatibility; solution provided - by Bastian Pfleging, University of Stuttgart - -04.09.17 llncs.cls 2.19 introduced \orcidID command - -10.03.18 llncs.cls 2.20 adjusted \doi according to CrossRef requirements; - TOC: removed affiliation numbers - - splncs04.bst added doi field; - bold journal numbers - - samplepaper.tex new sample paper - - llncsdoc.pdf new LaTeX class documentation diff --git a/papers/sbmf/llncs2e/llncs.cls b/papers/sbmf/llncs2e/llncs.cls deleted file mode 100755 index 06401a91..00000000 --- a/papers/sbmf/llncs2e/llncs.cls +++ /dev/null @@ -1,1218 +0,0 @@ -% LLNCS DOCUMENT CLASS -- version 2.20 (10-Mar-2018) -% Springer Verlag LaTeX2e support for Lecture Notes in Computer Science -% -%% -%% \CharacterTable -%% {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z -%% Lower-case \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z -%% Digits \0\1\2\3\4\5\6\7\8\9 -%% Exclamation \! Double quote \" Hash (number) \# -%% Dollar \$ Percent \% Ampersand \& -%% Acute accent \' Left paren \( Right paren \) -%% Asterisk \* Plus \+ Comma \, -%% Minus \- Point \. Solidus \/ -%% Colon \: Semicolon \; Less than \< -%% Equals \= Greater than \> Question mark \? -%% Commercial at \@ Left bracket \[ Backslash \\ -%% Right bracket \] Circumflex \^ Underscore \_ -%% Grave accent \` Left brace \{ Vertical bar \| -%% Right brace \} Tilde \~} -%% -\NeedsTeXFormat{LaTeX2e}[1995/12/01] -\ProvidesClass{llncs}[2018/03/10 v2.20 -^^J LaTeX document class for Lecture Notes in Computer Science] -% Options -\let\if@envcntreset\iffalse -\DeclareOption{envcountreset}{\let\if@envcntreset\iftrue} -\DeclareOption{citeauthoryear}{\let\citeauthoryear=Y} -\DeclareOption{oribibl}{\let\oribibl=Y} -\let\if@custvec\iftrue -\DeclareOption{orivec}{\let\if@custvec\iffalse} -\let\if@envcntsame\iffalse -\DeclareOption{envcountsame}{\let\if@envcntsame\iftrue} -\let\if@envcntsect\iffalse -\DeclareOption{envcountsect}{\let\if@envcntsect\iftrue} -\let\if@runhead\iffalse -\DeclareOption{runningheads}{\let\if@runhead\iftrue} - -\let\if@openright\iftrue -\let\if@openbib\iffalse -\DeclareOption{openbib}{\let\if@openbib\iftrue} - -% languages -\let\switcht@@therlang\relax -\def\ds@deutsch{\def\switcht@@therlang{\switcht@deutsch}} -\def\ds@francais{\def\switcht@@therlang{\switcht@francais}} - -\DeclareOption*{\PassOptionsToClass{\CurrentOption}{article}} - -\ProcessOptions - -\LoadClass[twoside]{article} -\RequirePackage{multicol} % needed for the list of participants, index -\RequirePackage{aliascnt} - -\setlength{\textwidth}{12.2cm} -\setlength{\textheight}{19.3cm} -\renewcommand\@pnumwidth{2em} -\renewcommand\@tocrmarg{3.5em} -% -\def\@dottedtocline#1#2#3#4#5{% - \ifnum #1>\c@tocdepth \else - \vskip \z@ \@plus.2\p@ - {\leftskip #2\relax \rightskip \@tocrmarg \advance\rightskip by 0pt plus 2cm - \parfillskip -\rightskip \pretolerance=10000 - \parindent #2\relax\@afterindenttrue - \interlinepenalty\@M - \leavevmode - \@tempdima #3\relax - \advance\leftskip \@tempdima \null\nobreak\hskip -\leftskip - {#4}\nobreak - \leaders\hbox{$\m@th - \mkern \@dotsep mu\hbox{.}\mkern \@dotsep - mu$}\hfill - \nobreak - \hb@xt@\@pnumwidth{\hfil\normalfont \normalcolor #5}% - \par}% - \fi} -% -\def\switcht@albion{% -\def\abstractname{Abstract.} -\def\ackname{Acknowledgement.} -\def\andname{and} -\def\lastandname{\unskip, and} -\def\appendixname{Appendix} -\def\chaptername{Chapter} -\def\claimname{Claim} -\def\conjecturename{Conjecture} -\def\contentsname{Table of Contents} -\def\corollaryname{Corollary} -\def\definitionname{Definition} -\def\examplename{Example} -\def\exercisename{Exercise} -\def\figurename{Fig.} -\def\keywordname{{\bf Keywords:}} -\def\indexname{Index} -\def\lemmaname{Lemma} -\def\contriblistname{List of Contributors} -\def\listfigurename{List of Figures} -\def\listtablename{List of Tables} -\def\mailname{{\it Correspondence to\/}:} -\def\noteaddname{Note added in proof} -\def\notename{Note} -\def\partname{Part} -\def\problemname{Problem} -\def\proofname{Proof} -\def\propertyname{Property} -\def\propositionname{Proposition} -\def\questionname{Question} -\def\remarkname{Remark} -\def\seename{see} -\def\solutionname{Solution} -\def\subclassname{{\it Subject Classifications\/}:} -\def\tablename{Table} -\def\theoremname{Theorem}} -\switcht@albion -% Names of theorem like environments are already defined -% but must be translated if another language is chosen -% -% French section -\def\switcht@francais{%\typeout{On parle francais.}% - \def\abstractname{R\'esum\'e.}% - \def\ackname{Remerciements.}% - \def\andname{et}% - \def\lastandname{ et}% - \def\appendixname{Appendice} - \def\chaptername{Chapitre}% - \def\claimname{Pr\'etention}% - \def\conjecturename{Hypoth\`ese}% - \def\contentsname{Table des mati\`eres}% - \def\corollaryname{Corollaire}% - \def\definitionname{D\'efinition}% - \def\examplename{Exemple}% - \def\exercisename{Exercice}% - \def\figurename{Fig.}% - \def\keywordname{{\bf Mots-cl\'e:}} - \def\indexname{Index} - \def\lemmaname{Lemme}% - \def\contriblistname{Liste des contributeurs} - \def\listfigurename{Liste des figures}% - \def\listtablename{Liste des tables}% - \def\mailname{{\it Correspondence to\/}:} - \def\noteaddname{Note ajout\'ee \`a l'\'epreuve}% - \def\notename{Remarque}% - \def\partname{Partie}% - \def\problemname{Probl\`eme}% - \def\proofname{Preuve}% - \def\propertyname{Caract\'eristique}% -%\def\propositionname{Proposition}% - \def\questionname{Question}% - \def\remarkname{Remarque}% - \def\seename{voir} - \def\solutionname{Solution}% - \def\subclassname{{\it Subject Classifications\/}:} - \def\tablename{Tableau}% - \def\theoremname{Th\'eor\`eme}% -} -% -% German section -\def\switcht@deutsch{%\typeout{Man spricht deutsch.}% - \def\abstractname{Zusammenfassung.}% - \def\ackname{Danksagung.}% - \def\andname{und}% - \def\lastandname{ und}% - \def\appendixname{Anhang}% - \def\chaptername{Kapitel}% - \def\claimname{Behauptung}% - \def\conjecturename{Hypothese}% - \def\contentsname{Inhaltsverzeichnis}% - \def\corollaryname{Korollar}% -%\def\definitionname{Definition}% - \def\examplename{Beispiel}% - \def\exercisename{\"Ubung}% - \def\figurename{Abb.}% - \def\keywordname{{\bf Schl\"usselw\"orter:}} - \def\indexname{Index} -%\def\lemmaname{Lemma}% - \def\contriblistname{Mitarbeiter} - \def\listfigurename{Abbildungsverzeichnis}% - \def\listtablename{Tabellenverzeichnis}% - \def\mailname{{\it Correspondence to\/}:} - \def\noteaddname{Nachtrag}% - \def\notename{Anmerkung}% - \def\partname{Teil}% -%\def\problemname{Problem}% - \def\proofname{Beweis}% - \def\propertyname{Eigenschaft}% -%\def\propositionname{Proposition}% - \def\questionname{Frage}% - \def\remarkname{Anmerkung}% - \def\seename{siehe} - \def\solutionname{L\"osung}% - \def\subclassname{{\it Subject Classifications\/}:} - \def\tablename{Tabelle}% -%\def\theoremname{Theorem}% -} - -% Ragged bottom for the actual page -\def\thisbottomragged{\def\@textbottom{\vskip\z@ plus.0001fil -\global\let\@textbottom\relax}} - -\renewcommand\small{% - \@setfontsize\small\@ixpt{11}% - \abovedisplayskip 8.5\p@ \@plus3\p@ \@minus4\p@ - \abovedisplayshortskip \z@ \@plus2\p@ - \belowdisplayshortskip 4\p@ \@plus2\p@ \@minus2\p@ - \def\@listi{\leftmargin\leftmargini - \parsep 0\p@ \@plus1\p@ \@minus\p@ - \topsep 8\p@ \@plus2\p@ \@minus4\p@ - \itemsep0\p@}% - \belowdisplayskip \abovedisplayskip -} - -\frenchspacing -\widowpenalty=10000 -\clubpenalty=10000 - -\setlength\oddsidemargin {63\p@} -\setlength\evensidemargin {63\p@} -\setlength\marginparwidth {90\p@} - -\setlength\headsep {16\p@} - -\setlength\footnotesep{7.7\p@} -\setlength\textfloatsep{8mm\@plus 2\p@ \@minus 4\p@} -\setlength\intextsep {8mm\@plus 2\p@ \@minus 2\p@} - -\setcounter{secnumdepth}{2} - -\newcounter {chapter} -\renewcommand\thechapter {\@arabic\c@chapter} - -\newif\if@mainmatter \@mainmattertrue -\newcommand\frontmatter{\cleardoublepage - \@mainmatterfalse\pagenumbering{Roman}} -\newcommand\mainmatter{\cleardoublepage - \@mainmattertrue\pagenumbering{arabic}} -\newcommand\backmatter{\if@openright\cleardoublepage\else\clearpage\fi - \@mainmatterfalse} - -\renewcommand\part{\cleardoublepage - \thispagestyle{empty}% - \if@twocolumn - \onecolumn - \@tempswatrue - \else - \@tempswafalse - \fi - \null\vfil - \secdef\@part\@spart} - -\def\@part[#1]#2{% - \ifnum \c@secnumdepth >-2\relax - \refstepcounter{part}% - \addcontentsline{toc}{part}{\thepart\hspace{1em}#1}% - \else - \addcontentsline{toc}{part}{#1}% - \fi - \markboth{}{}% - {\centering - \interlinepenalty \@M - \normalfont - \ifnum \c@secnumdepth >-2\relax - \huge\bfseries \partname~\thepart - \par - \vskip 20\p@ - \fi - \Huge \bfseries #2\par}% - \@endpart} -\def\@spart#1{% - {\centering - \interlinepenalty \@M - \normalfont - \Huge \bfseries #1\par}% - \@endpart} -\def\@endpart{\vfil\newpage - \if@twoside - \null - \thispagestyle{empty}% - \newpage - \fi - \if@tempswa - \twocolumn - \fi} - -\newcommand\chapter{\clearpage - \thispagestyle{empty}% - \global\@topnum\z@ - \@afterindentfalse - \secdef\@chapter\@schapter} -\def\@chapter[#1]#2{\ifnum \c@secnumdepth >\m@ne - \if@mainmatter - \refstepcounter{chapter}% - \typeout{\@chapapp\space\thechapter.}% - \addcontentsline{toc}{chapter}% - {\protect\numberline{\thechapter}#1}% - \else - \addcontentsline{toc}{chapter}{#1}% - \fi - \else - \addcontentsline{toc}{chapter}{#1}% - \fi - \chaptermark{#1}% - \addtocontents{lof}{\protect\addvspace{10\p@}}% - \addtocontents{lot}{\protect\addvspace{10\p@}}% - \if@twocolumn - \@topnewpage[\@makechapterhead{#2}]% - \else - \@makechapterhead{#2}% - \@afterheading - \fi} -\def\@makechapterhead#1{% -% \vspace*{50\p@}% - {\centering - \ifnum \c@secnumdepth >\m@ne - \if@mainmatter - \large\bfseries \@chapapp{} \thechapter - \par\nobreak - \vskip 20\p@ - \fi - \fi - \interlinepenalty\@M - \Large \bfseries #1\par\nobreak - \vskip 40\p@ - }} -\def\@schapter#1{\if@twocolumn - \@topnewpage[\@makeschapterhead{#1}]% - \else - \@makeschapterhead{#1}% - \@afterheading - \fi} -\def\@makeschapterhead#1{% -% \vspace*{50\p@}% - {\centering - \normalfont - \interlinepenalty\@M - \Large \bfseries #1\par\nobreak - \vskip 40\p@ - }} - -\renewcommand\section{\@startsection{section}{1}{\z@}% - {-18\p@ \@plus -4\p@ \@minus -4\p@}% - {12\p@ \@plus 4\p@ \@minus 4\p@}% - {\normalfont\large\bfseries\boldmath - \rightskip=\z@ \@plus 8em\pretolerance=10000 }} -\renewcommand\subsection{\@startsection{subsection}{2}{\z@}% - {-18\p@ \@plus -4\p@ \@minus -4\p@}% - {8\p@ \@plus 4\p@ \@minus 4\p@}% - {\normalfont\normalsize\bfseries\boldmath - \rightskip=\z@ \@plus 8em\pretolerance=10000 }} -\renewcommand\subsubsection{\@startsection{subsubsection}{3}{\z@}% - {-18\p@ \@plus -4\p@ \@minus -4\p@}% - {-0.5em \@plus -0.22em \@minus -0.1em}% - {\normalfont\normalsize\bfseries\boldmath}} -\renewcommand\paragraph{\@startsection{paragraph}{4}{\z@}% - {-12\p@ \@plus -4\p@ \@minus -4\p@}% - {-0.5em \@plus -0.22em \@minus -0.1em}% - {\normalfont\normalsize\itshape}} -\renewcommand\subparagraph[1]{\typeout{LLNCS warning: You should not use - \string\subparagraph\space with this class}\vskip0.5cm -You should not use \verb|\subparagraph| with this class.\vskip0.5cm} - -\DeclareMathSymbol{\Gamma}{\mathalpha}{letters}{"00} -\DeclareMathSymbol{\Delta}{\mathalpha}{letters}{"01} -\DeclareMathSymbol{\Theta}{\mathalpha}{letters}{"02} -\DeclareMathSymbol{\Lambda}{\mathalpha}{letters}{"03} -\DeclareMathSymbol{\Xi}{\mathalpha}{letters}{"04} -\DeclareMathSymbol{\Pi}{\mathalpha}{letters}{"05} -\DeclareMathSymbol{\Sigma}{\mathalpha}{letters}{"06} -\DeclareMathSymbol{\Upsilon}{\mathalpha}{letters}{"07} -\DeclareMathSymbol{\Phi}{\mathalpha}{letters}{"08} -\DeclareMathSymbol{\Psi}{\mathalpha}{letters}{"09} -\DeclareMathSymbol{\Omega}{\mathalpha}{letters}{"0A} - -\let\footnotesize\small - -\if@custvec -\def\vec#1{\mathchoice{\mbox{\boldmath$\displaystyle#1$}} -{\mbox{\boldmath$\textstyle#1$}} -{\mbox{\boldmath$\scriptstyle#1$}} -{\mbox{\boldmath$\scriptscriptstyle#1$}}} -\fi - -\def\squareforqed{\hbox{\rlap{$\sqcap$}$\sqcup$}} -\def\qed{\ifmmode\squareforqed\else{\unskip\nobreak\hfil -\penalty50\hskip1em\null\nobreak\hfil\squareforqed -\parfillskip=0pt\finalhyphendemerits=0\endgraf}\fi} - -\def\getsto{\mathrel{\mathchoice {\vcenter{\offinterlineskip -\halign{\hfil -$\displaystyle##$\hfil\cr\gets\cr\to\cr}}} -{\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr\gets -\cr\to\cr}}} -{\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr\gets -\cr\to\cr}}} -{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr -\gets\cr\to\cr}}}}} -\def\lid{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil -$\displaystyle##$\hfil\cr<\cr\noalign{\vskip1.2pt}=\cr}}} -{\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr<\cr -\noalign{\vskip1.2pt}=\cr}}} -{\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr<\cr -\noalign{\vskip1pt}=\cr}}} -{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr -<\cr -\noalign{\vskip0.9pt}=\cr}}}}} -\def\gid{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil -$\displaystyle##$\hfil\cr>\cr\noalign{\vskip1.2pt}=\cr}}} -{\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr>\cr -\noalign{\vskip1.2pt}=\cr}}} -{\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr>\cr -\noalign{\vskip1pt}=\cr}}} -{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr ->\cr -\noalign{\vskip0.9pt}=\cr}}}}} -\def\grole{\mathrel{\mathchoice {\vcenter{\offinterlineskip -\halign{\hfil -$\displaystyle##$\hfil\cr>\cr\noalign{\vskip-1pt}<\cr}}} -{\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr ->\cr\noalign{\vskip-1pt}<\cr}}} -{\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr ->\cr\noalign{\vskip-0.8pt}<\cr}}} -{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr ->\cr\noalign{\vskip-0.3pt}<\cr}}}}} -\def\bbbr{{\rm I\!R}} %reelle Zahlen -\def\bbbm{{\rm I\!M}} -\def\bbbn{{\rm I\!N}} %natuerliche Zahlen -\def\bbbf{{\rm I\!F}} -\def\bbbh{{\rm I\!H}} -\def\bbbk{{\rm I\!K}} -\def\bbbp{{\rm I\!P}} -\def\bbbone{{\mathchoice {\rm 1\mskip-4mu l} {\rm 1\mskip-4mu l} -{\rm 1\mskip-4.5mu l} {\rm 1\mskip-5mu l}}} -\def\bbbc{{\mathchoice {\setbox0=\hbox{$\displaystyle\rm C$}\hbox{\hbox -to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}} -{\setbox0=\hbox{$\textstyle\rm C$}\hbox{\hbox -to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}} -{\setbox0=\hbox{$\scriptstyle\rm C$}\hbox{\hbox -to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}} -{\setbox0=\hbox{$\scriptscriptstyle\rm C$}\hbox{\hbox -to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}}} -\def\bbbq{{\mathchoice {\setbox0=\hbox{$\displaystyle\rm -Q$}\hbox{\raise -0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.8\ht0\hss}\box0}} -{\setbox0=\hbox{$\textstyle\rm Q$}\hbox{\raise -0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.8\ht0\hss}\box0}} -{\setbox0=\hbox{$\scriptstyle\rm Q$}\hbox{\raise -0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.7\ht0\hss}\box0}} -{\setbox0=\hbox{$\scriptscriptstyle\rm Q$}\hbox{\raise -0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.7\ht0\hss}\box0}}}} -\def\bbbt{{\mathchoice {\setbox0=\hbox{$\displaystyle\rm -T$}\hbox{\hbox to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}} -{\setbox0=\hbox{$\textstyle\rm T$}\hbox{\hbox -to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}} -{\setbox0=\hbox{$\scriptstyle\rm T$}\hbox{\hbox -to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}} -{\setbox0=\hbox{$\scriptscriptstyle\rm T$}\hbox{\hbox -to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}}} -\def\bbbs{{\mathchoice -{\setbox0=\hbox{$\displaystyle \rm S$}\hbox{\raise0.5\ht0\hbox -to0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\hbox -to0pt{\kern0.55\wd0\vrule height0.5\ht0\hss}\box0}} -{\setbox0=\hbox{$\textstyle \rm S$}\hbox{\raise0.5\ht0\hbox -to0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\hbox -to0pt{\kern0.55\wd0\vrule height0.5\ht0\hss}\box0}} -{\setbox0=\hbox{$\scriptstyle \rm S$}\hbox{\raise0.5\ht0\hbox -to0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\raise0.05\ht0\hbox -to0pt{\kern0.5\wd0\vrule height0.45\ht0\hss}\box0}} -{\setbox0=\hbox{$\scriptscriptstyle\rm S$}\hbox{\raise0.5\ht0\hbox -to0pt{\kern0.4\wd0\vrule height0.45\ht0\hss}\raise0.05\ht0\hbox -to0pt{\kern0.55\wd0\vrule height0.45\ht0\hss}\box0}}}} -\def\bbbz{{\mathchoice {\hbox{$\mathsf\textstyle Z\kern-0.4em Z$}} -{\hbox{$\mathsf\textstyle Z\kern-0.4em Z$}} -{\hbox{$\mathsf\scriptstyle Z\kern-0.3em Z$}} -{\hbox{$\mathsf\scriptscriptstyle Z\kern-0.2em Z$}}}} - -\let\ts\, - -\setlength\leftmargini {17\p@} -\setlength\leftmargin {\leftmargini} -\setlength\leftmarginii {\leftmargini} -\setlength\leftmarginiii {\leftmargini} -\setlength\leftmarginiv {\leftmargini} -\setlength \labelsep {.5em} -\setlength \labelwidth{\leftmargini} -\addtolength\labelwidth{-\labelsep} - -\def\@listI{\leftmargin\leftmargini - \parsep 0\p@ \@plus1\p@ \@minus\p@ - \topsep 8\p@ \@plus2\p@ \@minus4\p@ - \itemsep0\p@} -\let\@listi\@listI -\@listi -\def\@listii {\leftmargin\leftmarginii - \labelwidth\leftmarginii - \advance\labelwidth-\labelsep - \topsep 0\p@ \@plus2\p@ \@minus\p@} -\def\@listiii{\leftmargin\leftmarginiii - \labelwidth\leftmarginiii - \advance\labelwidth-\labelsep - \topsep 0\p@ \@plus\p@\@minus\p@ - \parsep \z@ - \partopsep \p@ \@plus\z@ \@minus\p@} - -\renewcommand\labelitemi{\normalfont\bfseries --} -\renewcommand\labelitemii{$\m@th\bullet$} - -\setlength\arraycolsep{1.4\p@} -\setlength\tabcolsep{1.4\p@} - -\def\tableofcontents{\chapter*{\contentsname\@mkboth{{\contentsname}}% - {{\contentsname}}} - \def\authcount##1{\setcounter{auco}{##1}\setcounter{@auth}{1}} - \def\lastand{\ifnum\value{auco}=2\relax - \unskip{} \andname\ - \else - \unskip \lastandname\ - \fi}% - \def\and{\stepcounter{@auth}\relax - \ifnum\value{@auth}=\value{auco}% - \lastand - \else - \unskip, - \fi}% - \@starttoc{toc}\if@restonecol\twocolumn\fi} - -\def\l@part#1#2{\addpenalty{\@secpenalty}% - \addvspace{2em plus\p@}% % space above part line - \begingroup - \parindent \z@ - \rightskip \z@ plus 5em - \hrule\vskip5pt - \large % same size as for a contribution heading - \bfseries\boldmath % set line in boldface - \leavevmode % TeX command to enter horizontal mode. - #1\par - \vskip5pt - \hrule - \vskip1pt - \nobreak % Never break after part entry - \endgroup} - -\def\@dotsep{2} - -\let\phantomsection=\relax - -\def\hyperhrefextend{\ifx\hyper@anchor\@undefined\else -{}\fi} - -\def\addnumcontentsmark#1#2#3{% -\addtocontents{#1}{\protect\contentsline{#2}{\protect\numberline - {\thechapter}#3}{\thepage}\hyperhrefextend}}% -\def\addcontentsmark#1#2#3{% -\addtocontents{#1}{\protect\contentsline{#2}{#3}{\thepage}\hyperhrefextend}}% -\def\addcontentsmarkwop#1#2#3{% -\addtocontents{#1}{\protect\contentsline{#2}{#3}{0}\hyperhrefextend}}% - -\def\@adcmk[#1]{\ifcase #1 \or -\def\@gtempa{\addnumcontentsmark}% - \or \def\@gtempa{\addcontentsmark}% - \or \def\@gtempa{\addcontentsmarkwop}% - \fi\@gtempa{toc}{chapter}% -} -\def\addtocmark{% -\phantomsection -\@ifnextchar[{\@adcmk}{\@adcmk[3]}% -} - -\def\l@chapter#1#2{\addpenalty{-\@highpenalty} - \vskip 1.0em plus 1pt \@tempdima 1.5em \begingroup - \parindent \z@ \rightskip \@tocrmarg - \advance\rightskip by 0pt plus 2cm - \parfillskip -\rightskip \pretolerance=10000 - \leavevmode \advance\leftskip\@tempdima \hskip -\leftskip - {\large\bfseries\boldmath#1}\ifx0#2\hfil\null - \else - \nobreak - \leaders\hbox{$\m@th \mkern \@dotsep mu.\mkern - \@dotsep mu$}\hfill - \nobreak\hbox to\@pnumwidth{\hss #2}% - \fi\par - \penalty\@highpenalty \endgroup} - -\def\l@title#1#2{\addpenalty{-\@highpenalty} - \addvspace{8pt plus 1pt} - \@tempdima \z@ - \begingroup - \parindent \z@ \rightskip \@tocrmarg - \advance\rightskip by 0pt plus 2cm - \parfillskip -\rightskip \pretolerance=10000 - \leavevmode \advance\leftskip\@tempdima \hskip -\leftskip - #1\nobreak - \leaders\hbox{$\m@th \mkern \@dotsep mu.\mkern - \@dotsep mu$}\hfill - \nobreak\hbox to\@pnumwidth{\hss #2}\par - \penalty\@highpenalty \endgroup} - -\def\l@author#1#2{\addpenalty{\@highpenalty} - \@tempdima=15\p@ %\z@ - \begingroup - \parindent \z@ \rightskip \@tocrmarg - \advance\rightskip by 0pt plus 2cm - \pretolerance=10000 - \leavevmode \advance\leftskip\@tempdima %\hskip -\leftskip - \textit{#1}\par - \penalty\@highpenalty \endgroup} - -\setcounter{tocdepth}{0} -\newdimen\tocchpnum -\newdimen\tocsecnum -\newdimen\tocsectotal -\newdimen\tocsubsecnum -\newdimen\tocsubsectotal -\newdimen\tocsubsubsecnum -\newdimen\tocsubsubsectotal -\newdimen\tocparanum -\newdimen\tocparatotal -\newdimen\tocsubparanum -\tocchpnum=\z@ % no chapter numbers -\tocsecnum=15\p@ % section 88. plus 2.222pt -\tocsubsecnum=23\p@ % subsection 88.8 plus 2.222pt -\tocsubsubsecnum=27\p@ % subsubsection 88.8.8 plus 1.444pt -\tocparanum=35\p@ % paragraph 88.8.8.8 plus 1.666pt -\tocsubparanum=43\p@ % subparagraph 88.8.8.8.8 plus 1.888pt -\def\calctocindent{% -\tocsectotal=\tocchpnum -\advance\tocsectotal by\tocsecnum -\tocsubsectotal=\tocsectotal -\advance\tocsubsectotal by\tocsubsecnum -\tocsubsubsectotal=\tocsubsectotal -\advance\tocsubsubsectotal by\tocsubsubsecnum -\tocparatotal=\tocsubsubsectotal -\advance\tocparatotal by\tocparanum} -\calctocindent - -\def\l@section{\@dottedtocline{1}{\tocchpnum}{\tocsecnum}} -\def\l@subsection{\@dottedtocline{2}{\tocsectotal}{\tocsubsecnum}} -\def\l@subsubsection{\@dottedtocline{3}{\tocsubsectotal}{\tocsubsubsecnum}} -\def\l@paragraph{\@dottedtocline{4}{\tocsubsubsectotal}{\tocparanum}} -\def\l@subparagraph{\@dottedtocline{5}{\tocparatotal}{\tocsubparanum}} - -\def\listoffigures{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn - \fi\section*{\listfigurename\@mkboth{{\listfigurename}}{{\listfigurename}}} - \@starttoc{lof}\if@restonecol\twocolumn\fi} -\def\l@figure{\@dottedtocline{1}{0em}{1.5em}} - -\def\listoftables{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn - \fi\section*{\listtablename\@mkboth{{\listtablename}}{{\listtablename}}} - \@starttoc{lot}\if@restonecol\twocolumn\fi} -\let\l@table\l@figure - -\renewcommand\listoffigures{% - \section*{\listfigurename - \@mkboth{\listfigurename}{\listfigurename}}% - \@starttoc{lof}% - } - -\renewcommand\listoftables{% - \section*{\listtablename - \@mkboth{\listtablename}{\listtablename}}% - \@starttoc{lot}% - } - -\ifx\oribibl\undefined -\ifx\citeauthoryear\undefined -\renewenvironment{thebibliography}[1] - {\section*{\refname} - \def\@biblabel##1{##1.} - \small - \list{\@biblabel{\@arabic\c@enumiv}}% - {\settowidth\labelwidth{\@biblabel{#1}}% - \leftmargin\labelwidth - \advance\leftmargin\labelsep - \if@openbib - \advance\leftmargin\bibindent - \itemindent -\bibindent - \listparindent \itemindent - \parsep \z@ - \fi - \usecounter{enumiv}% - \let\p@enumiv\@empty - \renewcommand\theenumiv{\@arabic\c@enumiv}}% - \if@openbib - \renewcommand\newblock{\par}% - \else - \renewcommand\newblock{\hskip .11em \@plus.33em \@minus.07em}% - \fi - \sloppy\clubpenalty4000\widowpenalty4000% - \sfcode`\.=\@m} - {\def\@noitemerr - {\@latex@warning{Empty `thebibliography' environment}}% - \endlist} -\def\@lbibitem[#1]#2{\item[{[#1]}\hfill]\if@filesw - {\let\protect\noexpand\immediate - \write\@auxout{\string\bibcite{#2}{#1}}}\fi\ignorespaces} -\newcount\@tempcntc -\def\@citex[#1]#2{\if@filesw\immediate\write\@auxout{\string\citation{#2}}\fi - \@tempcnta\z@\@tempcntb\m@ne\def\@citea{}\@cite{\@for\@citeb:=#2\do - {\@ifundefined - {b@\@citeb}{\@citeo\@tempcntb\m@ne\@citea\def\@citea{,}{\bfseries - ?}\@warning - {Citation `\@citeb' on page \thepage \space undefined}}% - {\setbox\z@\hbox{\global\@tempcntc0\csname b@\@citeb\endcsname\relax}% - \ifnum\@tempcntc=\z@ \@citeo\@tempcntb\m@ne - \@citea\def\@citea{,}\hbox{\csname b@\@citeb\endcsname}% - \else - \advance\@tempcntb\@ne - \ifnum\@tempcntb=\@tempcntc - \else\advance\@tempcntb\m@ne\@citeo - \@tempcnta\@tempcntc\@tempcntb\@tempcntc\fi\fi}}\@citeo}{#1}} -\def\@citeo{\ifnum\@tempcnta>\@tempcntb\else - \@citea\def\@citea{,\,\hskip\z@skip}% - \ifnum\@tempcnta=\@tempcntb\the\@tempcnta\else - {\advance\@tempcnta\@ne\ifnum\@tempcnta=\@tempcntb \else - \def\@citea{--}\fi - \advance\@tempcnta\m@ne\the\@tempcnta\@citea\the\@tempcntb}\fi\fi} -\else -\renewenvironment{thebibliography}[1] - {\section*{\refname} - \small - \list{}% - {\settowidth\labelwidth{}% - \leftmargin\parindent - \itemindent=-\parindent - \labelsep=\z@ - \if@openbib - \advance\leftmargin\bibindent - \itemindent -\bibindent - \listparindent \itemindent - \parsep \z@ - \fi - \usecounter{enumiv}% - \let\p@enumiv\@empty - \renewcommand\theenumiv{}}% - \if@openbib - \renewcommand\newblock{\par}% - \else - \renewcommand\newblock{\hskip .11em \@plus.33em \@minus.07em}% - \fi - \sloppy\clubpenalty4000\widowpenalty4000% - \sfcode`\.=\@m} - {\def\@noitemerr - {\@latex@warning{Empty `thebibliography' environment}}% - \endlist} - \def\@cite#1{#1}% - \def\@lbibitem[#1]#2{\item[]\if@filesw - {\def\protect##1{\string ##1\space}\immediate - \write\@auxout{\string\bibcite{#2}{#1}}}\fi\ignorespaces} - \fi -\else -\@cons\@openbib@code{\noexpand\small} -\fi - -\def\idxquad{\hskip 10\p@}% space that divides entry from number - -\def\@idxitem{\par\hangindent 10\p@} - -\def\subitem{\par\setbox0=\hbox{--\enspace}% second order - \noindent\hangindent\wd0\box0}% index entry - -\def\subsubitem{\par\setbox0=\hbox{--\,--\enspace}% third - \noindent\hangindent\wd0\box0}% order index entry - -\def\indexspace{\par \vskip 10\p@ plus5\p@ minus3\p@\relax} - -\renewenvironment{theindex} - {\@mkboth{\indexname}{\indexname}% - \thispagestyle{empty}\parindent\z@ - \parskip\z@ \@plus .3\p@\relax - \let\item\par - \def\,{\relax\ifmmode\mskip\thinmuskip - \else\hskip0.2em\ignorespaces\fi}% - \normalfont\small - \begin{multicols}{2}[\@makeschapterhead{\indexname}]% - } - {\end{multicols}} - -\renewcommand\footnoterule{% - \kern-3\p@ - \hrule\@width 2truecm - \kern2.6\p@} - \newdimen\fnindent - \fnindent1em -\long\def\@makefntext#1{% - \parindent \fnindent% - \leftskip \fnindent% - \noindent - \llap{\hb@xt@1em{\hss\@makefnmark\ }}\ignorespaces#1} - -\long\def\@makecaption#1#2{% - \small - \vskip\abovecaptionskip - \sbox\@tempboxa{{\bfseries #1.} #2}% - \ifdim \wd\@tempboxa >\hsize - {\bfseries #1.} #2\par - \else - \global \@minipagefalse - \hb@xt@\hsize{\hfil\box\@tempboxa\hfil}% - \fi - \vskip\belowcaptionskip} - -\def\fps@figure{htbp} -\def\fnum@figure{\figurename\thinspace\thefigure} -\def \@floatboxreset {% - \reset@font - \small - \@setnobreak - \@setminipage -} -\def\fps@table{htbp} -\def\fnum@table{\tablename~\thetable} -\renewenvironment{table} - {\setlength\abovecaptionskip{0\p@}% - \setlength\belowcaptionskip{10\p@}% - \@float{table}} - {\end@float} -\renewenvironment{table*} - {\setlength\abovecaptionskip{0\p@}% - \setlength\belowcaptionskip{10\p@}% - \@dblfloat{table}} - {\end@dblfloat} - -\long\def\@caption#1[#2]#3{\par\addcontentsline{\csname - ext@#1\endcsname}{#1}{\protect\numberline{\csname - the#1\endcsname}{\ignorespaces #2}}\begingroup - \@parboxrestore - \@makecaption{\csname fnum@#1\endcsname}{\ignorespaces #3}\par - \endgroup} - -% LaTeX does not provide a command to enter the authors institute -% addresses. The \institute command is defined here. - -\newcounter{@inst} -\newcounter{@auth} -\newcounter{auco} -\newdimen\instindent -\newbox\authrun -\newtoks\authorrunning -\newtoks\tocauthor -\newbox\titrun -\newtoks\titlerunning -\newtoks\toctitle - -\def\clearheadinfo{\gdef\@author{No Author Given}% - \gdef\@title{No Title Given}% - \gdef\@subtitle{}% - \gdef\@institute{No Institute Given}% - \gdef\@thanks{}% - \global\titlerunning={}\global\authorrunning={}% - \global\toctitle={}\global\tocauthor={}} - -\def\institute#1{\gdef\@institute{#1}} - -\def\institutename{\par - \begingroup - \parskip=\z@ - \parindent=\z@ - \setcounter{@inst}{1}% - \def\and{\par\stepcounter{@inst}% - \noindent$^{\the@inst}$\enspace\ignorespaces}% - \setbox0=\vbox{\def\thanks##1{}\@institute}% - \ifnum\c@@inst=1\relax - \gdef\fnnstart{0}% - \else - \xdef\fnnstart{\c@@inst}% - \setcounter{@inst}{1}% - \noindent$^{\the@inst}$\enspace - \fi - \ignorespaces - \@institute\par - \endgroup} - -\def\@fnsymbol#1{\ensuremath{\ifcase#1\or\star\or{\star\star}\or - {\star\star\star}\or \dagger\or \ddagger\or - \mathchar "278\or \mathchar "27B\or \|\or **\or \dagger\dagger - \or \ddagger\ddagger \else\@ctrerr\fi}} - -\def\inst#1{\unskip$^{#1}$} -\def\orcidID#1{\unskip$^{[#1]}$} % added MR 2018-03-10 -\def\fnmsep{\unskip$^,$} -\def\email#1{{\tt#1}} - -\AtBeginDocument{\@ifundefined{url}{\def\url#1{#1}}{}% -\@ifpackageloaded{babel}{% -\@ifundefined{extrasenglish}{}{\addto\extrasenglish{\switcht@albion}}% -\@ifundefined{extrasfrenchb}{}{\addto\extrasfrenchb{\switcht@francais}}% -\@ifundefined{extrasgerman}{}{\addto\extrasgerman{\switcht@deutsch}}% -\@ifundefined{extrasngerman}{}{\addto\extrasngerman{\switcht@deutsch}}% -}{\switcht@@therlang}% -\providecommand{\keywords}[1]{\def\and{{\textperiodcentered} }% -\par\addvspace\baselineskip -\noindent\keywordname\enspace\ignorespaces#1}% -\@ifpackageloaded{hyperref}{% -\def\doi#1{\href{https://doi.org/#1}{https://doi.org/#1}}}{ -\def\doi#1{https://doi.org/#1}} -} -\def\homedir{\~{ }} - -\def\subtitle#1{\gdef\@subtitle{#1}} -\clearheadinfo -% -%%% to avoid hyperref warnings -\providecommand*{\toclevel@author}{999} -%%% to make title-entry parent of section-entries -\providecommand*{\toclevel@title}{0} -% -\renewcommand\maketitle{\newpage -\phantomsection - \refstepcounter{chapter}% - \stepcounter{section}% - \setcounter{section}{0}% - \setcounter{subsection}{0}% - \setcounter{figure}{0} - \setcounter{table}{0} - \setcounter{equation}{0} - \setcounter{footnote}{0}% - \begingroup - \parindent=\z@ - \renewcommand\thefootnote{\@fnsymbol\c@footnote}% - \if@twocolumn - \ifnum \col@number=\@ne - \@maketitle - \else - \twocolumn[\@maketitle]% - \fi - \else - \newpage - \global\@topnum\z@ % Prevents figures from going at top of page. - \@maketitle - \fi - \thispagestyle{empty}\@thanks -% - \def\\{\unskip\ \ignorespaces}\def\inst##1{\unskip{}}% - \def\thanks##1{\unskip{}}\def\fnmsep{\unskip}% - \instindent=\hsize - \advance\instindent by-\headlineindent - \if!\the\toctitle!\addcontentsline{toc}{title}{\@title}\else - \addcontentsline{toc}{title}{\the\toctitle}\fi - \if@runhead - \if!\the\titlerunning!\else - \edef\@title{\the\titlerunning}% - \fi - \global\setbox\titrun=\hbox{\small\rm\unboldmath\ignorespaces\@title}% - \ifdim\wd\titrun>\instindent - \typeout{Title too long for running head. Please supply}% - \typeout{a shorter form with \string\titlerunning\space prior to - \string\maketitle}% - \global\setbox\titrun=\hbox{\small\rm - Title Suppressed Due to Excessive Length}% - \fi - \xdef\@title{\copy\titrun}% - \fi -% - \if!\the\tocauthor!\relax - {\def\and{\noexpand\protect\noexpand\and}% - \def\inst##1{}% added MR 2017-09-20 to remove inst numbers from the TOC - \def\orcidID##1{}% added MR 2017-09-20 to remove ORCID ids from the TOC - \protected@xdef\toc@uthor{\@author}}% - \else - \def\\{\noexpand\protect\noexpand\newline}% - \protected@xdef\scratch{\the\tocauthor}% - \protected@xdef\toc@uthor{\scratch}% - \fi - \addtocontents{toc}{\noexpand\protect\noexpand\authcount{\the\c@auco}}% - \addcontentsline{toc}{author}{\toc@uthor}% - \if@runhead - \if!\the\authorrunning! - \value{@inst}=\value{@auth}% - \setcounter{@auth}{1}% - \else - \edef\@author{\the\authorrunning}% - \fi - \global\setbox\authrun=\hbox{\def\inst##1{}% added MR 2017-09-20 to remove inst numbers from the runninghead - \def\orcidID##1{}% added MR 2017-09-20 to remove ORCID ids from the runninghead - \small\unboldmath\@author\unskip}% - \ifdim\wd\authrun>\instindent - \typeout{Names of authors too long for running head. Please supply}% - \typeout{a shorter form with \string\authorrunning\space prior to - \string\maketitle}% - \global\setbox\authrun=\hbox{\small\rm - Authors Suppressed Due to Excessive Length}% - \fi - \xdef\@author{\copy\authrun}% - \markboth{\@author}{\@title}% - \fi - \endgroup - \setcounter{footnote}{\fnnstart}% - \clearheadinfo} -% -\def\@maketitle{\newpage - \markboth{}{}% - \def\lastand{\ifnum\value{@inst}=2\relax - \unskip{} \andname\ - \else - \unskip \lastandname\ - \fi}% - \def\and{\stepcounter{@auth}\relax - \ifnum\value{@auth}=\value{@inst}% - \lastand - \else - \unskip, - \fi}% - \begin{center}% - \let\newline\\ - {\Large \bfseries\boldmath - \pretolerance=10000 - \@title \par}\vskip .8cm -\if!\@subtitle!\else {\large \bfseries\boldmath - \vskip -.65cm - \pretolerance=10000 - \@subtitle \par}\vskip .8cm\fi - \setbox0=\vbox{\setcounter{@auth}{1}\def\and{\stepcounter{@auth}}% - \def\thanks##1{}\@author}% - \global\value{@inst}=\value{@auth}% - \global\value{auco}=\value{@auth}% - \setcounter{@auth}{1}% -{\lineskip .5em -\noindent\ignorespaces -\@author\vskip.35cm} - {\small\institutename} - \end{center}% - } - -% definition of the "\spnewtheorem" command. -% -% Usage: -% -% \spnewtheorem{env_nam}{caption}[within]{cap_font}{body_font} -% or \spnewtheorem{env_nam}[numbered_like]{caption}{cap_font}{body_font} -% or \spnewtheorem*{env_nam}{caption}{cap_font}{body_font} -% -% New is "cap_font" and "body_font". It stands for -% fontdefinition of the caption and the text itself. -% -% "\spnewtheorem*" gives a theorem without number. -% -% A defined spnewthoerem environment is used as described -% by Lamport. -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\def\@thmcountersep{} -\def\@thmcounterend{.} - -\def\spnewtheorem{\@ifstar{\@sthm}{\@Sthm}} - -% definition of \spnewtheorem with number - -\def\@spnthm#1#2{% - \@ifnextchar[{\@spxnthm{#1}{#2}}{\@spynthm{#1}{#2}}} -\def\@Sthm#1{\@ifnextchar[{\@spothm{#1}}{\@spnthm{#1}}} - -\def\@spxnthm#1#2[#3]#4#5{\expandafter\@ifdefinable\csname #1\endcsname - {\@definecounter{#1}\@addtoreset{#1}{#3}% - \expandafter\xdef\csname the#1\endcsname{\expandafter\noexpand - \csname the#3\endcsname \noexpand\@thmcountersep \@thmcounter{#1}}% - \expandafter\xdef\csname #1name\endcsname{#2}% - \global\@namedef{#1}{\@spthm{#1}{\csname #1name\endcsname}{#4}{#5}}% - \global\@namedef{end#1}{\@endtheorem}}} - -\def\@spynthm#1#2#3#4{\expandafter\@ifdefinable\csname #1\endcsname - {\@definecounter{#1}% - \expandafter\xdef\csname the#1\endcsname{\@thmcounter{#1}}% - \expandafter\xdef\csname #1name\endcsname{#2}% - \global\@namedef{#1}{\@spthm{#1}{\csname #1name\endcsname}{#3}{#4}}% - \global\@namedef{end#1}{\@endtheorem}}} - -\def\@spothm#1[#2]#3#4#5{% - \@ifundefined{c@#2}{\@latexerr{No theorem environment `#2' defined}\@eha}% - {\expandafter\@ifdefinable\csname #1\endcsname - {\newaliascnt{#1}{#2}% - \expandafter\xdef\csname #1name\endcsname{#3}% - \global\@namedef{#1}{\@spthm{#1}{\csname #1name\endcsname}{#4}{#5}}% - \global\@namedef{end#1}{\@endtheorem}}}} - -\def\@spthm#1#2#3#4{\topsep 7\p@ \@plus2\p@ \@minus4\p@ -\refstepcounter{#1}% -\@ifnextchar[{\@spythm{#1}{#2}{#3}{#4}}{\@spxthm{#1}{#2}{#3}{#4}}} - -\def\@spxthm#1#2#3#4{\@spbegintheorem{#2}{\csname the#1\endcsname}{#3}{#4}% - \ignorespaces} - -\def\@spythm#1#2#3#4[#5]{\@spopargbegintheorem{#2}{\csname - the#1\endcsname}{#5}{#3}{#4}\ignorespaces} - -\def\@spbegintheorem#1#2#3#4{\trivlist - \item[\hskip\labelsep{#3#1\ #2\@thmcounterend}]#4} - -\def\@spopargbegintheorem#1#2#3#4#5{\trivlist - \item[\hskip\labelsep{#4#1\ #2}]{#4(#3)\@thmcounterend\ }#5} - -% definition of \spnewtheorem* without number - -\def\@sthm#1#2{\@Ynthm{#1}{#2}} - -\def\@Ynthm#1#2#3#4{\expandafter\@ifdefinable\csname #1\endcsname - {\global\@namedef{#1}{\@Thm{\csname #1name\endcsname}{#3}{#4}}% - \expandafter\xdef\csname #1name\endcsname{#2}% - \global\@namedef{end#1}{\@endtheorem}}} - -\def\@Thm#1#2#3{\topsep 7\p@ \@plus2\p@ \@minus4\p@ -\@ifnextchar[{\@Ythm{#1}{#2}{#3}}{\@Xthm{#1}{#2}{#3}}} - -\def\@Xthm#1#2#3{\@Begintheorem{#1}{#2}{#3}\ignorespaces} - -\def\@Ythm#1#2#3[#4]{\@Opargbegintheorem{#1} - {#4}{#2}{#3}\ignorespaces} - -\def\@Begintheorem#1#2#3{#3\trivlist - \item[\hskip\labelsep{#2#1\@thmcounterend}]} - -\def\@Opargbegintheorem#1#2#3#4{#4\trivlist - \item[\hskip\labelsep{#3#1}]{#3(#2)\@thmcounterend\ }} - -\if@envcntsect - \def\@thmcountersep{.} - \spnewtheorem{theorem}{Theorem}[section]{\bfseries}{\itshape} -\else - \spnewtheorem{theorem}{Theorem}{\bfseries}{\itshape} - \if@envcntreset - \@addtoreset{theorem}{section} - \else - \@addtoreset{theorem}{chapter} - \fi -\fi - -%definition of divers theorem environments -\spnewtheorem*{claim}{Claim}{\itshape}{\rmfamily} -\spnewtheorem*{proof}{Proof}{\itshape}{\rmfamily} -\if@envcntsame % alle Umgebungen wie Theorem. - \def\spn@wtheorem#1#2#3#4{\@spothm{#1}[theorem]{#2}{#3}{#4}} -\else % alle Umgebungen mit eigenem Zaehler - \if@envcntsect % mit section numeriert - \def\spn@wtheorem#1#2#3#4{\@spxnthm{#1}{#2}[section]{#3}{#4}} - \else % nicht mit section numeriert - \if@envcntreset - \def\spn@wtheorem#1#2#3#4{\@spynthm{#1}{#2}{#3}{#4} - \@addtoreset{#1}{section}} - \else - \def\spn@wtheorem#1#2#3#4{\@spynthm{#1}{#2}{#3}{#4} - \@addtoreset{#1}{chapter}}% - \fi - \fi -\fi -\spn@wtheorem{case}{Case}{\itshape}{\rmfamily} -\spn@wtheorem{conjecture}{Conjecture}{\itshape}{\rmfamily} -\spn@wtheorem{corollary}{Corollary}{\bfseries}{\itshape} -\spn@wtheorem{definition}{Definition}{\bfseries}{\itshape} -\spn@wtheorem{example}{Example}{\itshape}{\rmfamily} -\spn@wtheorem{exercise}{Exercise}{\itshape}{\rmfamily} -\spn@wtheorem{lemma}{Lemma}{\bfseries}{\itshape} -\spn@wtheorem{note}{Note}{\itshape}{\rmfamily} -\spn@wtheorem{problem}{Problem}{\itshape}{\rmfamily} -\spn@wtheorem{property}{Property}{\itshape}{\rmfamily} -\spn@wtheorem{proposition}{Proposition}{\bfseries}{\itshape} -\spn@wtheorem{question}{Question}{\itshape}{\rmfamily} -\spn@wtheorem{solution}{Solution}{\itshape}{\rmfamily} -\spn@wtheorem{remark}{Remark}{\itshape}{\rmfamily} - -\def\@takefromreset#1#2{% - \def\@tempa{#1}% - \let\@tempd\@elt - \def\@elt##1{% - \def\@tempb{##1}% - \ifx\@tempa\@tempb\else - \@addtoreset{##1}{#2}% - \fi}% - \expandafter\expandafter\let\expandafter\@tempc\csname cl@#2\endcsname - \expandafter\def\csname cl@#2\endcsname{}% - \@tempc - \let\@elt\@tempd} - -\def\theopargself{\def\@spopargbegintheorem##1##2##3##4##5{\trivlist - \item[\hskip\labelsep{##4##1\ ##2}]{##4##3\@thmcounterend\ }##5} - \def\@Opargbegintheorem##1##2##3##4{##4\trivlist - \item[\hskip\labelsep{##3##1}]{##3##2\@thmcounterend\ }} - } - -\renewenvironment{abstract}{% - \list{}{\advance\topsep by0.35cm\relax\small - \leftmargin=1cm - \labelwidth=\z@ - \listparindent=\z@ - \itemindent\listparindent - \rightmargin\leftmargin}\item[\hskip\labelsep - \bfseries\abstractname]} - {\endlist} - -\newdimen\headlineindent % dimension for space between -\headlineindent=1.166cm % number and text of headings. - -\def\ps@headings{\let\@mkboth\@gobbletwo - \let\@oddfoot\@empty\let\@evenfoot\@empty - \def\@evenhead{\normalfont\small\rlap{\thepage}\hspace{\headlineindent}% - \leftmark\hfil} - \def\@oddhead{\normalfont\small\hfil\rightmark\hspace{\headlineindent}% - \llap{\thepage}} - \def\chaptermark##1{}% - \def\sectionmark##1{}% - 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b/papers/sbmf/llncs2e/samplepaper.tex deleted file mode 100755 index 0f306827..00000000 --- a/papers/sbmf/llncs2e/samplepaper.tex +++ /dev/null @@ -1,150 +0,0 @@ -% This is samplepaper.tex, a sample chapter demonstrating the -% LLNCS macro package for Springer Computer Science proceedings; -% Version 2.20 of 2017/10/04 -% -\documentclass[runningheads]{llncs} -% -\usepackage{graphicx} -% Used for displaying a sample figure. If possible, figure files should -% be included in EPS format. -% -% If you use the hyperref package, please uncomment the following line -% to display URLs in blue roman font according to Springer's eBook style: -% \renewcommand\UrlFont{\color{blue}\rmfamily} - -\begin{document} -% -\title{Contribution Title\thanks{Supported by organization x.}} -% -%\titlerunning{Abbreviated paper title} -% If the paper title is too long for the running head, you can set -% an abbreviated paper title here -% -\author{First Author\inst{1}\orcidID{0000-1111-2222-3333} \and -Second Author\inst{2,3}\orcidID{1111-2222-3333-4444} \and -Third Author\inst{3}\orcidID{2222--3333-4444-5555}} -% -\authorrunning{F. Author et al.} -% First names are abbreviated in the running head. -% If there are more than two authors, 'et al.' is used. -% -\institute{Princeton University, Princeton NJ 08544, USA \and -Springer Heidelberg, Tiergartenstr. 17, 69121 Heidelberg, Germany -\email{lncs@springer.com}\\ -\url{http://www.springer.com/gp/computer-science/lncs} \and -ABC Institute, Rupert-Karls-University Heidelberg, Heidelberg, Germany\\ -\email{\{abc,lncs\}@uni-heidelberg.de}} -% -\maketitle % typeset the header of the contribution -% -\begin{abstract} -The abstract should briefly summarize the contents of the paper in -150--250 words. - -\keywords{First keyword \and Second keyword \and Another keyword.} -\end{abstract} -% -% -% -\section{First Section} -\subsection{A Subsection Sample} -Please note that the first paragraph of a section or subsection is -not indented. The first paragraph that follows a table, figure, -equation etc. does not need an indent, either. - -Subsequent paragraphs, however, are indented. - -\subsubsection{Sample Heading (Third Level)} Only two levels of -headings should be numbered. Lower level headings remain unnumbered; -they are formatted as run-in headings. - -\paragraph{Sample Heading (Fourth Level)} -The contribution should contain no more than four levels of -headings. Table~\ref{tab1} gives a summary of all heading levels. - -\begin{table} -\caption{Table captions should be placed above the -tables.}\label{tab1} -\begin{tabular}{|l|l|l|} -\hline -Heading level & Example & Font size and style\\ -\hline -Title (centered) & {\Large\bfseries Lecture Notes} & 14 point, bold\\ -1st-level heading & {\large\bfseries 1 Introduction} & 12 point, bold\\ -2nd-level heading & {\bfseries 2.1 Printing Area} & 10 point, bold\\ -3rd-level heading & {\bfseries Run-in Heading in Bold.} Text follows & 10 point, bold\\ -4th-level heading & {\itshape Lowest Level Heading.} Text follows & 10 point, italic\\ -\hline -\end{tabular} -\end{table} - - -\noindent Displayed equations are centered and set on a separate -line. -\begin{equation} -x + y = z -\end{equation} -Please try to avoid rasterized images for line-art diagrams and -schemas. Whenever possible, use vector graphics instead (see -Fig.~\ref{fig1}). - -\begin{figure} -\includegraphics[width=\textwidth]{fig1.eps} -\caption{A figure caption is always placed below the illustration. -Please note that short captions are centered, while long ones are -justified by the macro package automatically.} \label{fig1} -\end{figure} - -\begin{theorem} -This is a sample theorem. The run-in heading is set in bold, while -the following text appears in italics. Definitions, lemmas, -propositions, and corollaries are styled the same way. -\end{theorem} -% -% the environments 'definition', 'lemma', 'proposition', 'corollary', -% 'remark', and 'example' are defined in the LLNCS documentclass as well. -% -\begin{proof} -Proofs, examples, and remarks have the initial word in italics, -while the following text appears in normal font. -\end{proof} -For citations of references, we prefer the use of square brackets -and consecutive numbers. Citations using labels or the author/year -convention are also acceptable. The following bibliography provides -a sample reference list with entries for journal -articles~\cite{ref_article1}, an LNCS chapter~\cite{ref_lncs1}, a -book~\cite{ref_book1}, proceedings without editors~\cite{ref_proc1}, -and a homepage~\cite{ref_url1}. Multiple citations are grouped -\cite{ref_article1,ref_lncs1,ref_book1}, -\cite{ref_article1,ref_book1,ref_proc1,ref_url1}. -% -% ---- Bibliography ---- -% -% BibTeX users should specify bibliography style 'splncs04'. -% References will then be sorted and formatted in the correct style. -% -% \bibliographystyle{splncs04} -% \bibliography{mybibliography} -% -\begin{thebibliography}{8} -\bibitem{ref_article1} -Author, F.: Article title. Journal \textbf{2}(5), 99--110 (2016) - -\bibitem{ref_lncs1} -Author, F., Author, S.: Title of a proceedings paper. In: Editor, -F., Editor, S. (eds.) CONFERENCE 2016, LNCS, vol. 9999, pp. 1--13. -Springer, Heidelberg (2016). \doi{10.10007/1234567890} - -\bibitem{ref_book1} -Author, F., Author, S., Author, T.: Book title. 2nd edn. Publisher, -Location (1999) - -\bibitem{ref_proc1} -Author, A.-B.: Contribution title. In: 9th International Proceedings -on Proceedings, pp. 1--2. Publisher, Location (2010) - -\bibitem{ref_url1} -LNCS Homepage, \url{http://www.springer.com/lncs}. Last accessed 4 -Oct 2017 -\end{thebibliography} -\end{document} diff --git a/papers/sbmf/llncs2e/splncs04.bst b/papers/sbmf/llncs2e/splncs04.bst deleted file mode 100755 index 2bcad4d1..00000000 --- a/papers/sbmf/llncs2e/splncs04.bst +++ /dev/null @@ -1,1548 +0,0 @@ -%% BibTeX bibliography style `splncs03' -%% -%% BibTeX bibliography style for use with numbered references in -%% Springer Verlag's "Lecture Notes in Computer Science" series. -%% (See Springer's documentation for llncs.cls for -%% more details of the suggested reference format.) Note that this -%% file will not work for author-year style citations. -%% -%% Use \documentclass{llncs} and \bibliographystyle{splncs03}, and cite -%% a reference with (e.g.) \cite{smith77} to get a "[1]" in the text. -%% -%% This file comes to you courtesy of Maurizio "Titto" Patrignani of -%% Dipartimento di Informatica e Automazione Universita' Roma Tre -%% -%% ================================================================================================ -%% This was file `titto-lncs-02.bst' produced on Wed Apr 1, 2009 -%% Edited by hand by titto based on `titto-lncs-01.bst' (see below) -%% -%% CHANGES (with respect to titto-lncs-01.bst): -%% - Removed the call to \urlprefix (thus no "URL" string is added to the output) -%% ================================================================================================ -%% This was file `titto-lncs-01.bst' produced on Fri Aug 22, 2008 -%% Edited by hand by titto based on `titto.bst' (see below) -%% -%% CHANGES (with respect to titto.bst): -%% - Removed the "capitalize" command for editors string "(eds.)" and "(ed.)" -%% - Introduced the functions titto.bbl.pages and titto.bbl.page for journal pages (without "pp.") -%% - Added a new.sentence command to separate with a dot booktitle and series in the inproceedings -%% - Commented all new.block commands before urls and notes (to separate them with a comma) -%% - Introduced the functions titto.bbl.volume for handling journal volumes (without "vol." label) -%% - Used for editors the same name conventions used for authors (see function format.in.ed.booktitle) -%% - Removed a \newblock to avoid long spaces between title and "In: ..." -%% - Added function titto.space.prefix to add a space instead of "~" after the (removed) "vol." label -%% - Added doi -%% ================================================================================================ -%% This was file `titto.bst', -%% generated with the docstrip utility. -%% -%% The original source files were: -%% -%% merlin.mbs (with options: `vonx,nm-rvvc,yr-par,jttl-rm,volp-com,jwdpg,jwdvol,numser,ser-vol,jnm-x,btit-rm,bt-rm,edparxc,bkedcap,au-col,in-col,fin-bare,pp,ed,abr,mth-bare,xedn,jabr,and-com,and-com-ed,xand,url,url-blk,em-x,nfss,') -%% ---------------------------------------- -%% *** Tentative .bst file for Springer LNCS *** -%% -%% Copyright 1994-2007 Patrick W Daly - % =============================================================== - % IMPORTANT NOTICE: - % This bibliographic style (bst) file has been generated from one or - % more master bibliographic style (mbs) files, listed above. - % - % This generated file can be redistributed and/or modified under the terms - % of the LaTeX Project Public License Distributed from CTAN - % archives in directory macros/latex/base/lppl.txt; either - % version 1 of the License, or any later version. - % =============================================================== - % Name and version information of the main mbs file: - % \ProvidesFile{merlin.mbs}[2007/04/24 4.20 (PWD, AO, DPC)] - % For use with BibTeX version 0.99a or later - %------------------------------------------------------------------- - % This bibliography style file is intended for texts in ENGLISH - % This is a numerical citation style, and as such is standard LaTeX. - % It requires no extra package to interface to the main text. - % The form of the \bibitem entries is - % \bibitem{key}... - % Usage of \cite is as follows: - % \cite{key} ==>> [#] - % \cite[chap. 2]{key} ==>> [#, chap. 2] - % where # is a number determined by the ordering in the reference list. - % The order in the reference list is alphabetical by authors. - %--------------------------------------------------------------------- - -ENTRY - { address - author - booktitle - chapter - doi - edition - editor - eid - howpublished - institution - journal - key - month - note - number - organization - pages - publisher - school - series - title - type - url - volume - year - } - {} - { label } -INTEGERS { output.state before.all mid.sentence after.sentence after.block } -FUNCTION {init.state.consts} -{ #0 'before.all := - #1 'mid.sentence := - #2 'after.sentence := - #3 'after.block := -} -STRINGS { s t} -FUNCTION {output.nonnull} -{ 's := - output.state mid.sentence = - { ", " * write$ } - { output.state after.block = - { add.period$ write$ -% newline$ -% "\newblock " write$ % removed for titto-lncs-01 - " " write$ % to avoid long spaces between title and "In: ..." - } - { output.state before.all = - 'write$ - { add.period$ " " * write$ } - if$ - } - if$ - mid.sentence 'output.state := - } - if$ - s -} -FUNCTION {output} -{ duplicate$ empty$ - 'pop$ - 'output.nonnull - if$ -} -FUNCTION {output.check} -{ 't := - duplicate$ empty$ - { pop$ "empty " t * " in " * cite$ * warning$ } - 'output.nonnull - if$ -} -FUNCTION {fin.entry} -{ duplicate$ empty$ - 'pop$ - 'write$ - if$ - newline$ -} - -FUNCTION {new.block} -{ output.state before.all = - 'skip$ - { after.block 'output.state := } - if$ -} -FUNCTION {new.sentence} -{ output.state after.block = - 'skip$ - { output.state before.all = - 'skip$ - { after.sentence 'output.state := } - if$ - } - if$ -} -FUNCTION {add.blank} -{ " " * before.all 'output.state := -} - - -FUNCTION {add.colon} -{ duplicate$ empty$ - 'skip$ - { ":" * add.blank } - if$ -} - -FUNCTION {date.block} -{ - new.block -} - -FUNCTION {not} -{ { #0 } - { #1 } - if$ -} -FUNCTION {and} -{ 'skip$ - { pop$ #0 } - if$ -} -FUNCTION {or} -{ { pop$ #1 } - 'skip$ - if$ -} -STRINGS {z} -FUNCTION {remove.dots} -{ 'z := - "" - { z empty$ not } - { z #1 #1 substring$ - z #2 global.max$ substring$ 'z := - duplicate$ "." = 'pop$ - { * } - if$ - } - while$ -} -FUNCTION {new.block.checka} -{ empty$ - 'skip$ - 'new.block - if$ -} -FUNCTION {new.block.checkb} -{ empty$ - swap$ empty$ - and - 'skip$ - 'new.block - if$ -} -FUNCTION {new.sentence.checka} -{ empty$ - 'skip$ - 'new.sentence - if$ -} -FUNCTION {new.sentence.checkb} -{ empty$ - swap$ empty$ - and - 'skip$ - 'new.sentence - if$ -} -FUNCTION {field.or.null} -{ duplicate$ empty$ - { pop$ "" } - 'skip$ - if$ -} -FUNCTION {emphasize} -{ skip$ } - -FUNCTION {embolden} -{ duplicate$ empty$ -{ pop$ "" } -{ "\textbf{" swap$ * "}" * } -if$ -} -FUNCTION {tie.or.space.prefix} -{ duplicate$ text.length$ #5 < - { "~" } - { " " } - if$ - swap$ -} -FUNCTION {titto.space.prefix} % always introduce a space -{ duplicate$ text.length$ #3 < - { " " } - { " " } - if$ - swap$ -} - - -FUNCTION {capitalize} -{ "u" change.case$ "t" change.case$ } - -FUNCTION {space.word} -{ " " swap$ * " " * } - % Here are the language-specific definitions for explicit words. - % Each function has a name bbl.xxx where xxx is the English word. - % The language selected here is ENGLISH -FUNCTION {bbl.and} -{ "and"} - -FUNCTION {bbl.etal} -{ "et~al." } - -FUNCTION {bbl.editors} -{ "eds." } - -FUNCTION {bbl.editor} -{ "ed." } - -FUNCTION {bbl.edby} -{ "edited by" } - -FUNCTION {bbl.edition} -{ "edn." } - -FUNCTION {bbl.volume} -{ "vol." } - -FUNCTION {titto.bbl.volume} % for handling journals -{ "" } - -FUNCTION {bbl.of} -{ "of" } - -FUNCTION {bbl.number} -{ "no." } - -FUNCTION {bbl.nr} -{ "no." } - -FUNCTION {bbl.in} -{ "in" } - -FUNCTION {bbl.pages} -{ "pp." } - -FUNCTION {bbl.page} -{ "p." } - -FUNCTION {titto.bbl.pages} % for journals -{ "" } - -FUNCTION {titto.bbl.page} % for journals -{ "" } - -FUNCTION {bbl.chapter} -{ "chap." } - -FUNCTION {bbl.techrep} -{ "Tech. Rep." } - -FUNCTION {bbl.mthesis} -{ "Master's thesis" } - -FUNCTION {bbl.phdthesis} -{ "Ph.D. thesis" } - -MACRO {jan} {"Jan."} - -MACRO {feb} {"Feb."} - -MACRO {mar} {"Mar."} - -MACRO {apr} {"Apr."} - -MACRO {may} {"May"} - -MACRO {jun} {"Jun."} - -MACRO {jul} {"Jul."} - -MACRO {aug} {"Aug."} - -MACRO {sep} {"Sep."} - -MACRO {oct} {"Oct."} - -MACRO {nov} {"Nov."} - -MACRO {dec} {"Dec."} - -MACRO {acmcs} {"ACM Comput. Surv."} - -MACRO {acta} {"Acta Inf."} - -MACRO {cacm} {"Commun. ACM"} - -MACRO {ibmjrd} {"IBM J. Res. Dev."} - -MACRO {ibmsj} {"IBM Syst.~J."} - -MACRO {ieeese} {"IEEE Trans. Software Eng."} - -MACRO {ieeetc} {"IEEE Trans. Comput."} - -MACRO {ieeetcad} - {"IEEE Trans. Comput. Aid. Des."} - -MACRO {ipl} {"Inf. Process. Lett."} - -MACRO {jacm} {"J.~ACM"} - -MACRO {jcss} {"J.~Comput. Syst. Sci."} - -MACRO {scp} {"Sci. Comput. Program."} - -MACRO {sicomp} {"SIAM J. Comput."} - -MACRO {tocs} {"ACM Trans. Comput. Syst."} - -MACRO {tods} {"ACM Trans. Database Syst."} - -MACRO {tog} {"ACM Trans. Graphic."} - -MACRO {toms} {"ACM Trans. Math. Software"} - -MACRO {toois} {"ACM Trans. Office Inf. Syst."} - -MACRO {toplas} {"ACM Trans. Progr. Lang. Syst."} - -MACRO {tcs} {"Theor. Comput. Sci."} - -FUNCTION {bibinfo.check} -{ swap$ - duplicate$ missing$ - { - pop$ pop$ - "" - } - { duplicate$ empty$ - { - swap$ pop$ - } - { swap$ - pop$ - } - if$ - } - if$ -} -FUNCTION {bibinfo.warn} -{ swap$ - duplicate$ missing$ - { - swap$ "missing " swap$ * " in " * cite$ * warning$ pop$ - "" - } - { duplicate$ empty$ - { - swap$ "empty " swap$ * " in " * cite$ * warning$ - } - { swap$ - pop$ - } - if$ - } - if$ -} -FUNCTION {format.url} -{ url empty$ - { "" } -% { "\urlprefix\url{" url * "}" * } - { "\url{" url * "}" * } % changed in titto-lncs-02.bst - if$ -} - -FUNCTION {format.doi} % added in splncs04.bst -{ doi empty$ - { "" } - { after.block 'output.state := - "\doi{" doi * "}" * } - if$ -} - -INTEGERS { nameptr namesleft numnames } - - -STRINGS { bibinfo} - -FUNCTION {format.names} -{ 'bibinfo := - duplicate$ empty$ 'skip$ { - 's := - "" 't := - #1 'nameptr := - s num.names$ 'numnames := - numnames 'namesleft := - { namesleft #0 > } - { s nameptr - "{vv~}{ll}{, jj}{, f{.}.}" - format.name$ - bibinfo bibinfo.check - 't := - nameptr #1 > - { - namesleft #1 > - { ", " * t * } - { - s nameptr "{ll}" format.name$ duplicate$ "others" = - { 't := } - { pop$ } - if$ - "," * - t "others" = - { - " " * bbl.etal * - } - { " " * t * } - if$ - } - if$ - } - 't - if$ - nameptr #1 + 'nameptr := - namesleft #1 - 'namesleft := - } - while$ - } if$ -} -FUNCTION {format.names.ed} -{ - 'bibinfo := - duplicate$ empty$ 'skip$ { - 's := - "" 't := - #1 'nameptr := - s num.names$ 'numnames := - numnames 'namesleft := - { namesleft #0 > } - { s nameptr - "{f{.}.~}{vv~}{ll}{ jj}" - format.name$ - bibinfo bibinfo.check - 't := - nameptr #1 > - { - namesleft #1 > - { ", " * t * } - { - s nameptr "{ll}" format.name$ duplicate$ "others" = - { 't := } - { pop$ } - if$ - "," * - t "others" = - { - - " " * bbl.etal * - } - { " " * t * } - if$ - } - if$ - } - 't - if$ - nameptr #1 + 'nameptr := - namesleft #1 - 'namesleft := - } - while$ - } if$ -} -FUNCTION {format.authors} -{ author "author" format.names -} -FUNCTION {get.bbl.editor} -{ editor num.names$ #1 > 'bbl.editors 'bbl.editor if$ } - -FUNCTION {format.editors} -{ editor "editor" format.names duplicate$ empty$ 'skip$ - { - " " * - get.bbl.editor -% capitalize - "(" swap$ * ")" * - * - } - if$ -} -FUNCTION {format.note} -{ - note empty$ - { "" } - { note #1 #1 substring$ - duplicate$ "{" = - 'skip$ - { output.state mid.sentence = - { "l" } - { "u" } - if$ - change.case$ - } - if$ - note #2 global.max$ substring$ * "note" bibinfo.check - } - if$ -} - -FUNCTION {format.title} -{ title - duplicate$ empty$ 'skip$ - { "t" change.case$ } - if$ - "title" bibinfo.check -} -FUNCTION {output.bibitem} -{ newline$ - "\bibitem{" write$ - cite$ write$ - "}" write$ - newline$ - "" - before.all 'output.state := -} - -FUNCTION {n.dashify} -{ - 't := - "" - { t empty$ not } - { t #1 #1 substring$ "-" = - { t #1 #2 substring$ "--" = not - { "--" * - t #2 global.max$ substring$ 't := - } - { { t #1 #1 substring$ "-" = } - { "-" * - t #2 global.max$ substring$ 't := - } - while$ - } - if$ - } - { t #1 #1 substring$ * - t #2 global.max$ substring$ 't := - } - if$ - } - while$ -} - -FUNCTION {word.in} -{ bbl.in capitalize - ":" * - " " * } - -FUNCTION {format.date} -{ - month "month" bibinfo.check - duplicate$ empty$ - year "year" bibinfo.check duplicate$ empty$ - { swap$ 'skip$ - { "there's a month but no year in " cite$ * warning$ } - if$ - * - } - { swap$ 'skip$ - { - swap$ - " " * swap$ - } - if$ - * - remove.dots - } - if$ - duplicate$ empty$ - 'skip$ - { - before.all 'output.state := - " (" swap$ * ")" * - } - if$ -} -FUNCTION {format.btitle} -{ title "title" bibinfo.check - duplicate$ empty$ 'skip$ - { - } - if$ -} -FUNCTION {either.or.check} -{ empty$ - 'pop$ - { "can't use both " swap$ * " fields in " * cite$ * warning$ } - if$ -} -FUNCTION {format.bvolume} -{ volume empty$ - { "" } - { bbl.volume volume tie.or.space.prefix - "volume" bibinfo.check * * - series "series" bibinfo.check - duplicate$ empty$ 'pop$ - { emphasize ", " * swap$ * } - if$ - "volume and number" number either.or.check - } - if$ -} -FUNCTION {format.number.series} -{ volume empty$ - { number empty$ - { series field.or.null } - { output.state mid.sentence = - { bbl.number } - { bbl.number capitalize } - if$ - number tie.or.space.prefix "number" bibinfo.check * * - series empty$ - { "there's a number but no series in " cite$ * warning$ } - { bbl.in space.word * - series "series" bibinfo.check * - } - if$ - } - if$ - } - { "" } - if$ -} - -FUNCTION {format.edition} -{ edition duplicate$ empty$ 'skip$ - { - output.state mid.sentence = - { "l" } - { "t" } - if$ change.case$ - "edition" bibinfo.check - " " * bbl.edition * - } - if$ -} -INTEGERS { multiresult } -FUNCTION {multi.page.check} -{ 't := - #0 'multiresult := - { multiresult not - t empty$ not - and - } - { t #1 #1 substring$ - duplicate$ "-" = - swap$ duplicate$ "," = - swap$ "+" = - or or - { #1 'multiresult := } - { t #2 global.max$ substring$ 't := } - if$ - } - while$ - multiresult -} -FUNCTION {format.pages} -{ pages duplicate$ empty$ 'skip$ - { duplicate$ multi.page.check - { - bbl.pages swap$ - n.dashify - } - { - bbl.page swap$ - } - if$ - tie.or.space.prefix - "pages" bibinfo.check - * * - } - if$ -} -FUNCTION {format.journal.pages} -{ pages duplicate$ empty$ 'pop$ - { swap$ duplicate$ empty$ - { pop$ pop$ format.pages } - { - ", " * - swap$ - n.dashify - pages multi.page.check - 'titto.bbl.pages - 'titto.bbl.page - if$ - swap$ tie.or.space.prefix - "pages" bibinfo.check - * * - * - } - if$ - } - if$ -} -FUNCTION {format.journal.eid} -{ eid "eid" bibinfo.check - duplicate$ empty$ 'pop$ - { swap$ duplicate$ empty$ 'skip$ - { - ", " * - } - if$ - swap$ * - } - if$ -} -FUNCTION {format.vol.num.pages} % this function is used only for journal entries -{ volume field.or.null embolden - duplicate$ empty$ 'skip$ - { -% bbl.volume swap$ tie.or.space.prefix - titto.bbl.volume swap$ titto.space.prefix -% rationale for the change above: for journals you don't want "vol." label -% hence it does not make sense to attach the journal number to the label when -% it is short - "volume" bibinfo.check - * * - } - if$ - number "number" bibinfo.check duplicate$ empty$ 'skip$ - { - swap$ duplicate$ empty$ - { "there's a number but no volume in " cite$ * warning$ } - 'skip$ - if$ - swap$ - "(" swap$ * ")" * - } - if$ * - eid empty$ - { format.journal.pages } - { format.journal.eid } - if$ -} - -FUNCTION {format.chapter.pages} -{ chapter empty$ - 'format.pages - { type empty$ - { bbl.chapter } - { type "l" change.case$ - "type" bibinfo.check - } - if$ - chapter tie.or.space.prefix - "chapter" bibinfo.check - * * - pages empty$ - 'skip$ - { ", " * format.pages * } - if$ - } - if$ -} - -FUNCTION {format.booktitle} -{ - booktitle "booktitle" bibinfo.check -} -FUNCTION {format.in.ed.booktitle} -{ format.booktitle duplicate$ empty$ 'skip$ - { -% editor "editor" format.names.ed duplicate$ empty$ 'pop$ % changed by titto - editor "editor" format.names duplicate$ empty$ 'pop$ - { - " " * - get.bbl.editor -% capitalize - "(" swap$ * ") " * - * swap$ - * } - if$ - word.in swap$ * - } - if$ -} -FUNCTION {empty.misc.check} -{ author empty$ title empty$ howpublished empty$ - month empty$ year empty$ note empty$ - and and and and and - key empty$ not and - { "all relevant fields are empty in " cite$ * warning$ } - 'skip$ - if$ -} -FUNCTION {format.thesis.type} -{ type duplicate$ empty$ - 'pop$ - { swap$ pop$ - "t" change.case$ "type" bibinfo.check - } - if$ -} -FUNCTION {format.tr.number} -{ number "number" bibinfo.check - type duplicate$ empty$ - { pop$ bbl.techrep } - 'skip$ - if$ - "type" bibinfo.check - swap$ duplicate$ empty$ - { pop$ "t" change.case$ } - { tie.or.space.prefix * * } - if$ -} -FUNCTION {format.article.crossref} -{ - key duplicate$ empty$ - { pop$ - journal duplicate$ empty$ - { "need key or journal for " cite$ * " to crossref " * crossref * warning$ } - { "journal" bibinfo.check emphasize word.in swap$ * } - if$ - } - { word.in swap$ * " " *} - if$ - " \cite{" * crossref * "}" * -} -FUNCTION {format.crossref.editor} -{ editor #1 "{vv~}{ll}" format.name$ - "editor" bibinfo.check - editor num.names$ duplicate$ - #2 > - { pop$ - "editor" bibinfo.check - " " * bbl.etal - * - } - { #2 < - 'skip$ - { editor #2 "{ff }{vv }{ll}{ jj}" format.name$ "others" = - { - "editor" bibinfo.check - " " * bbl.etal - * - } - { - bbl.and space.word - * editor #2 "{vv~}{ll}" format.name$ - "editor" bibinfo.check - * - } - if$ - } - if$ - } - if$ -} -FUNCTION {format.book.crossref} -{ volume duplicate$ empty$ - { "empty volume in " cite$ * "'s crossref of " * crossref * warning$ - pop$ word.in - } - { bbl.volume - capitalize - swap$ tie.or.space.prefix "volume" bibinfo.check * * bbl.of space.word * - } - if$ - editor empty$ - editor field.or.null author field.or.null = - or - { key empty$ - { series empty$ - { "need editor, key, or series for " cite$ * " to crossref " * - crossref * warning$ - "" * - } - { series emphasize * } - if$ - } - { key * } - if$ - } - { format.crossref.editor * } - if$ - " \cite{" * crossref * "}" * -} -FUNCTION {format.incoll.inproc.crossref} -{ - editor empty$ - editor field.or.null author field.or.null = - or - { key empty$ - { format.booktitle duplicate$ empty$ - { "need editor, key, or booktitle for " cite$ * " to crossref " * - crossref * warning$ - } - { word.in swap$ * } - if$ - } - { word.in key * " " *} - if$ - } - { word.in format.crossref.editor * " " *} - if$ - " \cite{" * crossref * "}" * -} -FUNCTION {format.org.or.pub} -{ 't := - "" - address empty$ t empty$ and - 'skip$ - { - t empty$ - { address "address" bibinfo.check * - } - { t * - address empty$ - 'skip$ - { ", " * address "address" bibinfo.check * } - if$ - } - if$ - } - if$ -} -FUNCTION {format.publisher.address} -{ publisher "publisher" bibinfo.warn format.org.or.pub -} - -FUNCTION {format.organization.address} -{ organization "organization" bibinfo.check format.org.or.pub -} - -FUNCTION {article} -{ output.bibitem - format.authors "author" output.check - add.colon - new.block - format.title "title" output.check - new.block - crossref missing$ - { - journal - "journal" bibinfo.check - "journal" output.check - add.blank - format.vol.num.pages output - format.date "year" output.check - } - { format.article.crossref output.nonnull - format.pages output - } - if$ -% new.block - format.doi output - format.url output -% new.block - format.note output - fin.entry -} -FUNCTION {book} -{ output.bibitem - author empty$ - { format.editors "author and editor" output.check - add.colon - } - { format.authors output.nonnull - add.colon - crossref missing$ - { "author and editor" editor either.or.check } - 'skip$ - if$ - } - if$ - new.block - format.btitle "title" output.check - crossref missing$ - { format.bvolume output - new.block - new.sentence - format.number.series output - format.publisher.address output - } - { - new.block - format.book.crossref output.nonnull - } - if$ - format.edition output - format.date "year" output.check -% new.block - format.doi output - format.url output -% new.block - format.note output - fin.entry -} -FUNCTION {booklet} -{ output.bibitem - format.authors output - add.colon - new.block - format.title "title" output.check - new.block - howpublished "howpublished" bibinfo.check output - address "address" bibinfo.check output - format.date output -% new.block - format.doi output - format.url output -% new.block - format.note output - fin.entry -} - -FUNCTION {inbook} -{ output.bibitem - author empty$ - { format.editors "author and editor" output.check - add.colon - } - { format.authors output.nonnull - add.colon - crossref missing$ - { "author and editor" editor either.or.check } - 'skip$ - if$ - } - if$ - new.block - format.btitle "title" output.check - crossref missing$ - { - format.bvolume output - format.chapter.pages "chapter and pages" output.check - new.block - new.sentence - format.number.series output - format.publisher.address output - } - { - format.chapter.pages "chapter and pages" output.check - new.block - format.book.crossref output.nonnull - } - if$ - format.edition output - format.date "year" output.check -% new.block - format.doi output - format.url output -% new.block - format.note output - fin.entry -} - -FUNCTION {incollection} -{ output.bibitem - format.authors "author" output.check - add.colon - new.block - format.title "title" output.check - new.block - crossref missing$ - { format.in.ed.booktitle "booktitle" output.check - format.bvolume output - format.chapter.pages output - new.sentence - format.number.series output - format.publisher.address output - format.edition output - format.date "year" output.check - } - { format.incoll.inproc.crossref output.nonnull - format.chapter.pages output - } - if$ -% new.block - format.doi output - format.url output -% new.block - format.note output - fin.entry -} -FUNCTION {inproceedings} -{ output.bibitem - format.authors "author" output.check - add.colon - new.block - format.title "title" output.check - new.block - crossref missing$ - { format.in.ed.booktitle "booktitle" output.check - new.sentence % added by titto - format.bvolume output - format.pages output - new.sentence - format.number.series output - publisher empty$ - { format.organization.address output } - { organization "organization" bibinfo.check output - format.publisher.address output - } - if$ - format.date "year" output.check - } - { format.incoll.inproc.crossref output.nonnull - format.pages output - } - if$ -% new.block - format.doi output - format.url output -% new.block - format.note output - fin.entry -} -FUNCTION {conference} { inproceedings } -FUNCTION {manual} -{ output.bibitem - author empty$ - { organization "organization" bibinfo.check - duplicate$ empty$ 'pop$ - { output - address "address" bibinfo.check output - } - if$ - } - { format.authors output.nonnull } - if$ - add.colon - new.block - format.btitle "title" output.check - author empty$ - { organization empty$ - { - address new.block.checka - address "address" bibinfo.check output - } - 'skip$ - if$ - } - { - organization address new.block.checkb - organization "organization" bibinfo.check output - address "address" bibinfo.check output - } - if$ - format.edition output - format.date output -% new.block - format.doi output - format.url output -% new.block - format.note output - fin.entry -} - -FUNCTION {mastersthesis} -{ output.bibitem - format.authors "author" output.check - add.colon - new.block - format.btitle - "title" output.check - new.block - bbl.mthesis format.thesis.type output.nonnull - school "school" bibinfo.warn output - address "address" bibinfo.check output - format.date "year" output.check -% new.block - format.doi output - format.url output -% new.block - format.note output - fin.entry -} - -FUNCTION {misc} -{ output.bibitem - format.authors output - add.colon - title howpublished new.block.checkb - format.title output - howpublished new.block.checka - howpublished "howpublished" bibinfo.check output - format.date output -% new.block - format.doi output - format.url output -% new.block - format.note output - fin.entry - empty.misc.check -} -FUNCTION {phdthesis} -{ output.bibitem - format.authors "author" output.check - add.colon - new.block - format.btitle - "title" output.check - new.block - bbl.phdthesis format.thesis.type output.nonnull - school "school" bibinfo.warn output - address "address" bibinfo.check output - format.date "year" output.check -% new.block - format.doi output - format.url output -% new.block - format.note output - fin.entry -} - -FUNCTION {proceedings} -{ output.bibitem - editor empty$ - { organization "organization" bibinfo.check output - } - { format.editors output.nonnull } - if$ - add.colon - new.block - format.btitle "title" output.check - format.bvolume output - editor empty$ - { publisher empty$ - { format.number.series output } - { - new.sentence - format.number.series output - format.publisher.address output - } - if$ - } - { publisher empty$ - { - new.sentence - format.number.series output - format.organization.address output } - { - new.sentence - format.number.series output - organization "organization" bibinfo.check output - format.publisher.address output - } - if$ - } - if$ - format.date "year" output.check -% new.block - format.doi output - format.url output -% new.block - format.note output - fin.entry -} - -FUNCTION {techreport} -{ output.bibitem - format.authors "author" output.check - add.colon - new.block - format.title - "title" output.check - new.block - format.tr.number output.nonnull - institution "institution" bibinfo.warn output - address "address" bibinfo.check output - format.date "year" output.check -% new.block - format.doi output - format.url output -% new.block - format.note output - fin.entry -} - -FUNCTION {unpublished} -{ output.bibitem - format.authors "author" output.check - add.colon - new.block - format.title "title" output.check - format.date output -% new.block - format.url output -% new.block - format.note "note" output.check - fin.entry -} - -FUNCTION {default.type} { misc } -READ -FUNCTION {sortify} -{ purify$ - "l" change.case$ -} -INTEGERS { len } -FUNCTION {chop.word} -{ 's := - 'len := - s #1 len substring$ = - { s len #1 + global.max$ substring$ } - 's - if$ -} -FUNCTION {sort.format.names} -{ 's := - #1 'nameptr := - "" - s num.names$ 'numnames := - numnames 'namesleft := - { namesleft #0 > } - { s nameptr - "{ll{ }}{ ff{ }}{ jj{ }}" - format.name$ 't := - nameptr #1 > - { - " " * - namesleft #1 = t "others" = and - { "zzzzz" * } - { t sortify * } - if$ - } - { t sortify * } - if$ - nameptr #1 + 'nameptr := - namesleft #1 - 'namesleft := - } - while$ -} - -FUNCTION {sort.format.title} -{ 't := - "A " #2 - "An " #3 - "The " #4 t chop.word - chop.word - chop.word - sortify - #1 global.max$ substring$ -} -FUNCTION {author.sort} -{ author empty$ - { key empty$ - { "to sort, need author or key in " cite$ * warning$ - "" - } - { key sortify } - if$ - } - { author sort.format.names } - if$ -} -FUNCTION {author.editor.sort} -{ author empty$ - { editor empty$ - { key empty$ - { "to sort, need author, editor, or key in " cite$ * warning$ - "" - } - { key sortify } - if$ - } - { editor sort.format.names } - if$ - } - { author sort.format.names } - if$ -} -FUNCTION {author.organization.sort} -{ author empty$ - { organization empty$ - { key empty$ - { "to sort, need author, organization, or key in " cite$ * warning$ - "" - } - { key sortify } - if$ - } - { "The " #4 organization chop.word sortify } - if$ - } - { author sort.format.names } - if$ -} -FUNCTION {editor.organization.sort} -{ editor empty$ - { organization empty$ - { key empty$ - { "to sort, need editor, organization, or key in " cite$ * warning$ - "" - } - { key sortify } - if$ - } - { "The " #4 organization chop.word sortify } - if$ - } - { editor sort.format.names } - if$ -} -FUNCTION {presort} -{ type$ "book" = - type$ "inbook" = - or - 'author.editor.sort - { type$ "proceedings" = - 'editor.organization.sort - { type$ "manual" = - 'author.organization.sort - 'author.sort - if$ - } - if$ - } - if$ - " " - * - year field.or.null sortify - * - " " - * - title field.or.null - sort.format.title - * - #1 entry.max$ substring$ - 'sort.key$ := -} -ITERATE {presort} -SORT -STRINGS { longest.label } -INTEGERS { number.label longest.label.width } -FUNCTION {initialize.longest.label} -{ "" 'longest.label := - #1 'number.label := - #0 'longest.label.width := -} -FUNCTION {longest.label.pass} -{ number.label int.to.str$ 'label := - number.label #1 + 'number.label := - label width$ longest.label.width > - { label 'longest.label := - label width$ 'longest.label.width := - } - 'skip$ - if$ -} -EXECUTE {initialize.longest.label} -ITERATE {longest.label.pass} -FUNCTION {begin.bib} -{ preamble$ empty$ - 'skip$ - { preamble$ write$ newline$ } - if$ - "\begin{thebibliography}{" longest.label * "}" * - write$ newline$ - "\providecommand{\url}[1]{\texttt{#1}}" - write$ newline$ - "\providecommand{\urlprefix}{URL }" - write$ newline$ - "\providecommand{\doi}[1]{https://doi.org/#1}" - write$ newline$ -} -EXECUTE {begin.bib} -EXECUTE {init.state.consts} -ITERATE {call.type$} -FUNCTION {end.bib} -{ newline$ - "\end{thebibliography}" write$ newline$ -} -EXECUTE {end.bib} -%% End of customized bst file -%% -%% End of file `titto.bst'.