From 3b842e8429064d69dae071d444f1e6ad236bddf7 Mon Sep 17 00:00:00 2001 From: Wen Kokke Date: Tue, 18 Dec 2018 10:49:56 +0000 Subject: [PATCH] Removed TSPL content from PLFA --- Makefile | 12 +- tspl/Assignment1.lagda | 319 ---------- tspl/Assignment2.lagda | 365 ------------ tspl/Assignment3.lagda | 382 ------------ tspl/Assignment4.lagda | 1169 ------------------------------------- tspl/Assignment5.pdf | Bin 192615 -> 0 bytes tspl/Assignment5.tex | 422 -------------- tspl/Assignments.lagda | 164 ------ tspl/Exam.lagda | 680 ---------------------- tspl/TSPL.lagda | 118 ---- tspl/examhons2018.cls | 1248 ---------------------------------------- tspl/instructions.pdf | Bin 51770 -> 0 bytes tspl/instructions.tex | 122 ---- tspl/mock.pdf | Bin 190258 -> 0 bytes tspl/mock.tex | 407 ------------- tspl/tspl.agda-lib | 3 - 16 files changed, 3 insertions(+), 5408 deletions(-) delete mode 100644 tspl/Assignment1.lagda delete mode 100644 tspl/Assignment2.lagda delete mode 100644 tspl/Assignment3.lagda delete mode 100644 tspl/Assignment4.lagda delete mode 100644 tspl/Assignment5.pdf delete mode 100644 tspl/Assignment5.tex delete mode 100644 tspl/Assignments.lagda delete mode 100644 tspl/Exam.lagda delete mode 100644 tspl/TSPL.lagda delete mode 100644 tspl/examhons2018.cls delete mode 100644 tspl/instructions.pdf delete mode 100644 tspl/instructions.tex delete mode 100644 tspl/mock.pdf delete mode 100644 tspl/mock.tex delete mode 100644 tspl/tspl.agda-lib diff --git a/Makefile b/Makefile index d9c99a35..cce8e012 100644 --- a/Makefile +++ b/Makefile @@ -1,6 +1,6 @@ -agda := $(shell find src tspl -type f -name '*.lagda') -agdai := $(shell find src tspl -type f -name '*.agdai') -markdown := $(subst tspl/,out/,$(subst src/,out/,$(subst .lagda,.md,$(agda)))) +agda := $(shell find src -type f -name '*.lagda') +agdai := $(shell find src -type f -name '*.agdai') +markdown := $(subst src/,out/,$(subst .lagda,.md,$(agda))) PLFA_DIR := $(shell dirname $(realpath $(lastword $(MAKEFILE_LIST)))) AGDA2HTML_FLAGS := --verbose --link-to-local-agda-names --use-jekyll=out/ @@ -21,12 +21,6 @@ out/%.md: src/%.lagda | out/ | sed '/^Generating.*/d; /^Warning\: HTML.*/d; /^reached from the.*/d; /^\s*$$/d' @sed -i '1 s|---|---\nsrc : $(<)|' $@ -# should fix this -- it's the same as above -out/%.md: tspl/%.lagda | out/ - agda2html $(AGDA2HTML_FLAGS) -i $< -o $@ 2>&1 \ - | sed '/^Generating.*/d; /^Warning\: HTML.*/d; /^reached from the.*/d; /^\s*$$/d' - @sed -i '1 s|---|---\nsrc : $(<)|' $@ - serve: ruby -S bundle exec jekyll serve --incremental diff --git a/tspl/Assignment1.lagda b/tspl/Assignment1.lagda deleted file mode 100644 index 674e0092..00000000 --- a/tspl/Assignment1.lagda +++ /dev/null @@ -1,319 +0,0 @@ ---- -title : "Assignment1: TSPL Assignment 1" -layout : page -permalink : /Assignment1/ ---- - -\begin{code} -module Assignment1 where -\end{code} - -## YOUR NAME AND EMAIL GOES HERE - -## Introduction - -This assignment is due **4pm Thursday 4 October** (Week 3). - -You must do _all_ the exercises labelled "(recommended)". - -Exercises labelled "(stretch)" are there to provide an extra challenge. -You don't need to do all of these, but should attempt at least a few. - -Exercises without a label are optional, and may be done if you want -some extra practice. - -Submit your homework using the "submit" command. -Please ensure your files execute correctly under Agda! - -## Imports - -\begin{code} -import Relation.Binary.PropositionalEquality as Eq -open Eq using (_≡_; refl; cong; sym) -open Eq.≡-Reasoning using (begin_; _≡⟨⟩_; _≡⟨_⟩_; _∎) -open import Data.Nat using (ℕ; zero; suc; _+_; _*_; _∸_; _≤_; z≤n; s≤s) -open import Data.Nat.Properties using (+-assoc; +-identityʳ; +-suc; +-comm; - ≤-refl; ≤-trans; ≤-antisym; ≤-total; +-monoʳ-≤; +-monoˡ-≤; +-mono-≤) -open import plfa.Relations using (_<_; z n` -Define `m > n` to be the same as `n < m`. -You will need a suitable data declaration, -similar to that used for totality. -(We will show that the three cases are exclusive after we introduce -[negation][plfa.Negation].) - -#### Exercise `+-mono-<` {#plus-mono-less} - -Show that addition is monotonic with respect to strict inequality. -As with inequality, some additional definitions may be required. - -#### Exercise `≤-iff-<` (recommended) {#leq-iff-less} - -Show that `suc m ≤ n` implies `m < n`, and conversely. - -#### Exercise `<-trans-revisited` {#less-trans-revisited} - -Give an alternative proof that strict inequality is transitive, -using the relating between strict inequality and inequality and -the fact that inequality is transitive. - -#### Exercise `o+o≡e` (stretch) {#odd-plus-odd} - -Show that the sum of two odd numbers is even. - -#### Exercise `Bin-predicates` (stretch) {#Bin-predicates} - -Recall that -Exercise [Bin][plfa.Naturals#Bin] -defines a datatype `Bin` of bitstrings representing natural numbers. -Representations are not unique due to leading zeros. -Hence, eleven may be represented by both of the following - - x1 x1 x0 x1 nil - x1 x1 x0 x1 x0 x0 nil - -Define a predicate - - Can : Bin → Set - -over all bitstrings that holds if the bitstring is canonical, meaning -it has no leading zeros; the first representation of eleven above is -canonical, and the second is not. To define it, you will need an -auxiliary predicate - - One : Bin → Set - -that holds only if the bistring has a leading one. A bitstring is -canonical if it has a leading one (representing a positive number) or -if it consists of a single zero (representing zero). - -Show that increment preserves canonical bitstrings. - - Can x - ------------ - Can (inc x) - -Show that converting a natural to a bitstring always yields a -canonical bitstring. - - ---------- - Can (to n) - -Show that converting a canonical bitstring to a natural -and back is the identity. - - Can x - --------------- - to (from x) ≡ x - -\end{code} -(Hint: For each of these, you may first need to prove related -properties of `One`.) diff --git a/tspl/Assignment2.lagda b/tspl/Assignment2.lagda deleted file mode 100644 index 5329e017..00000000 --- a/tspl/Assignment2.lagda +++ /dev/null @@ -1,365 +0,0 @@ ---- -title : "Assignment2: TSPL Assignment 2" -layout : page -permalink : /Assignment2/ ---- - -\begin{code} -module Assignment2 where -\end{code} - -## YOUR NAME AND EMAIL GOES HERE - -## Introduction - -This assignment is due **4pm Thursday 18 October** (Week 5). - -You must do _all_ the exercises labelled "(recommended)". - -Exercises labelled "(stretch)" are there to provide an extra challenge. -You don't need to do all of these, but should attempt at least a few. - -Exercises without a label are optional, and may be done if you want -some extra practice. - -Submit your homework using the "submit" command. -Please ensure your files execute correctly under Agda! - -## Imports - -\begin{code} -import Relation.Binary.PropositionalEquality as Eq -open Eq using (_≡_; refl; cong; sym) -open Eq.≡-Reasoning using (begin_; _≡⟨⟩_; _≡⟨_⟩_; _∎) -open import Data.Nat using (ℕ; zero; suc; _+_; _*_; _∸_; _≤_; z≤n; s≤s) -open import Data.Nat.Properties using (+-assoc; +-identityʳ; +-suc; +-comm; - ≤-refl; ≤-trans; ≤-antisym; ≤-total; +-monoʳ-≤; +-monoˡ-≤; +-mono-≤) -open import plfa.Relations using (_<_; z n` - -Here "exactly one" means that one of the three must hold, and each implies the -negation of the other two. - - -#### Exercise `⊎-dual-×` (recommended) - -Show that conjunction, disjunction, and negation are related by a -version of De Morgan's Law. - - ¬ (A ⊎ B) ≃ (¬ A) × (¬ B) - -This result is an easy consequence of something we've proved previously. - -Do we also have the following? - - ¬ (A × B) ≃ (¬ A) ⊎ (¬ B) - -If so, prove; if not, give a variant that does hold. - - -#### Exercise `Classical` (stretch) - -Consider the following principles. - - * Excluded Middle: `A ⊎ ¬ A`, for all `A` - * Double Negation Elimination: `¬ ¬ A → A`, for all `A` - * Peirce's Law: `((A → B) → A) → A`, for all `A` and `B`. - * Implication as disjunction: `(A → B) → ¬ A ⊎ B`, for all `A` and `B`. - * De Morgan: `¬ (¬ A × ¬ B) → A ⊎ B`, for all `A` and `B`. - -Show that each of these implies all the others. - - -#### Exercise `Stable` (stretch) - -Say that a formula is _stable_ if double negation elimination holds for it. -\begin{code} -Stable : Set → Set -Stable A = ¬ ¬ A → A -\end{code} -Show that any negated formula is stable, and that the conjunction -of two stable formulas is stable. - - -## Quantifiers - -#### Exercise `∀-distrib-×` (recommended) - -Show that universals distribute over conjunction. -\begin{code} -postulate - ∀-distrib-× : ∀ {A : Set} {B C : A → Set} → - (∀ (x : A) → B x × C x) ≃ (∀ (x : A) → B x) × (∀ (x : A) → C x) -\end{code} -Compare this with the result (`→-distrib-×`) in -Chapter [Connectives][plfa.Connectives]. - -#### Exercise `⊎∀-implies-∀⊎` - -Show that a disjunction of universals implies a universal of disjunctions. -\begin{code} -postulate - ⊎∀-implies-∀⊎ : ∀ {A : Set} { B C : A → Set } → - (∀ (x : A) → B x) ⊎ (∀ (x : A) → C x) → ∀ (x : A) → B x ⊎ C x -\end{code} -Does the converse hold? If so, prove; if not, explain why. - -#### Exercise `∃-distrib-⊎` (recommended) - -Show that existentials distribute over disjunction. -\begin{code} -postulate - ∃-distrib-⊎ : ∀ {A : Set} {B C : A → Set} → - ∃[ x ] (B x ⊎ C x) ≃ (∃[ x ] B x) ⊎ (∃[ x ] C x) -\end{code} - -#### Exercise `∃×-implies-×∃` - -Show that an existential of conjunctions implies a conjunction of existentials. -\begin{code} -postulate - ∃×-implies-×∃ : ∀ {A : Set} { B C : A → Set } → - ∃[ x ] (B x × C x) → (∃[ x ] B x) × (∃[ x ] C x) -\end{code} -Does the converse hold? If so, prove; if not, explain why. - -#### Exercise `∃-even-odd` - -How do the proofs become more difficult if we replace `m * 2` and `1 + m * 2` -by `2 * m` and `2 * m + 1`? Rewrite the proofs of `∃-even` and `∃-odd` when -restated in this way. - -#### Exercise `∃-+-≤` - -Show that `y ≤ z` holds if and only if there exists a `x` such that -`x + y ≡ z`. - -#### Exercise `∃¬-implies-¬∀` (recommended) - -Show that existential of a negation implies negation of a universal. -\begin{code} -postulate - ∃¬-implies-¬∀ : ∀ {A : Set} {B : A → Set} - → ∃[ x ] (¬ B x) - -------------- - → ¬ (∀ x → B x) -\end{code} -Does the converse hold? If so, prove; if not, explain why. - - -#### Exercise `Bin-isomorphism` (stretch) {#Bin-isomorphism} - -Recall that Exercises -[Bin][plfa.Naturals#Bin], -[Bin-laws][plfa.Induction#Bin-laws], and -[Bin-predicates][plfa.Relations#Bin-predicates] -define a datatype of bitstrings representing natural numbers. - - data Bin : Set where - nil : Bin - x0_ : Bin → Bin - x1_ : Bin → Bin - -And ask you to define the following functions and predicates. - - to : ℕ → Bin - from : Bin → ℕ - Can : Bin → Set - -And to establish the following properties. - - from (to n) ≡ n - - ---------- - Can (to n) - - Can x - --------------- - to (from x) ≡ x - -Using the above, establish that there is an isomorphism between `ℕ` and -`∃[ x ](Can x)`. - - -## Decidable - -#### Exercise `_k%O@{3@h|GQuq#I0;y&76rC z#BGgS%|y*i98Aq%`1xU6T%FB~>|i{%($wT!w%L(-uQU#zW>Ts8fKSC$T4q&A?2=@& zCyxt7WlO5)IFfZMe*0n&$I_SZxVeGI{&qX;`)KMtH5)K=3gs^A+5~;fOFD{UV@|-x zXQfr{7ruI0UUIBf*Z3qmh3_ZHT83{=cc?#hbz-TDV)?qs@jo>vQP8DvO%a7DQIu0f 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Lists - 17 Oct (tutorial only) - 19 Oct Lists - - - 6 - 22 Oct Lambda - 24 Oct (no class) - 26 Oct Properties - - - 7 - 29 Oct DeBruijn - 31 Oct More - 2 Nov Inference - - - 8 - 5 Nov (no class) - 7 Nov (tutorial only) - 9 Nov Untyped - - - 9 - 12 Nov (no class) - 14 Nov (tutorial only) - 16 Nov (no class) - - - 10 - 19 Nov (no class) - 21 Nov Propositions as Types - 23 Nov (no class) - - - 11 - 26 Nov (no class) - 28 Nov Quantitative Type Theory (Wen) - 30 Nov (mock exam) - - - -## Assignments - -For instructions on how to set up Agda for PLFA see [Getting Started](/GettingStarted/). - -* [Assignment 1][Assignment1] cw1 due 4pm Thursday 4 October (Week 3) -* [Assignment 2][Assignment2] cw2 due 4pm Thursday 18 October (Week 5) -* [Assignment 3][Assignment3] cw3 due 4pm Thursday 1 November (Week 7) -* [Assignment 4][Assignment4] cw4 due 4pm Thursday 15 November (Week 9) -* [Assignment 5](/tspl/Assignment5.pdf) cw5 due 4pm Thursday 22 November (Week 10) -
- Use file [Exam][Exam]. Despite the rubric, do **all three questions**. - - -Assignments are submitted by running -``` bash -submit tspl cwN AssignmentN.lagda -``` -where N is the number of the assignment. - -## Mock exam - -Here is the text of the [mock](/tspl/mock.pdf) -and the exam [instructions](/tspl/instructions.pdf). diff --git a/tspl/examhons2018.cls b/tspl/examhons2018.cls deleted file mode 100644 index 857d30ce..00000000 --- a/tspl/examhons2018.cls +++ /dev/null @@ -1,1248 +0,0 @@ - %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% -% I N F O R M A T I C S -% Honours Exam LaTeX Package v0.1 -% -% Created: 12-Oct-2009 by G.O.Passmore. -% Last Updated: 11-07-2017 by G.Hall -% -% Note: We are changing the file and package name of this style -% from year to year, so as to make people aware of the version -% they are using. The format is `examhons.sty' with -% replaced appropriately. -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\NeedsTeXFormat{LaTeX2e}[1995/12/01] -\ProvidesClass{examhons2016}[2009/10/12 v0.1 (GOP)] - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% -% Set the ITO path for status.tex. -% -% * Note that course organisers / exam preparers do not need -% status.tex. When building their exam on their own machines, -% the exam title / date / etc. information will be automatically -% filled-in with dummy values for mock-up purposes. -% -% Once the exam document is processed on the ITO machines, -% however, the mock-up exam title / date / etc. data will be -% overwritten with the officially sanctioned data held in -% the ITO's master status.tex file. -% -% This file resides in the relative path below. -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\def\itostatuspath{../exam-macros/} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% -% Inherit the proper letter class. -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\LoadClass[12pt,a4paper]{article} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% -% Take care of `page x of y' the proper way, based on a combination -% of the J. Goldberg (lastpage) method, the C. Huggins (using fh) -% code, woven together with some use of the ifthen package for -% branching on p0 (the exam title page, which shouldn't be num'd). -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\RequirePackage{fancyhdr,ifthen,a4} -\pagestyle{fancy} -\fancyhf{} - -\def\lastpage@putlabel{\addtocounter{page}{-1}% - \immediate\write\@auxout{\string - \newlabel{LastPage}{{}{\thepage}}}% - \addtocounter{page}{1}} - -\AtEndDocument{% - \message{*** Setting LastPage: Make sure you - run LaTeX upon your exam file at least 3 - times to get this right.}% - \clearpage\lastpage@putlabel}% - -\newcommand{\totalpagesoverride}{0} - - {\rfoot{\ifthenelse{\totalpagesoverride=0} - {\ifthenelse{\thepage>0} - {\scriptsize{Page \thepage{} of \pageref{LastPage}}} - {}} - {{\scriptsize{Page \thepage{} of \@forcedtotalpages}}}}} - - -\renewcommand\headrulewidth{0pt} - -\newcommand{\settotalpages}[1]{ - \def\@forcedtotalpages{#1} - \renewcommand{\totalpagesoverride}{1}} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% -% Inlining of the EPSF package by Rokicki et al. -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\newread\epsffilein % file to \read -\newif\ifepsffileok % continue looking for the bounding box? -\newif\ifepsfbbfound % success? -\newif\ifepsfverbose % report what you're making? -\newif\ifepsfdraft % use draft mode? -\newdimen\epsfxsize % horizontal size after scaling -\newdimen\epsfysize % vertical size after scaling -\newdimen\epsftsize % horizontal size before scaling -\newdimen\epsfrsize % vertical size before scaling -\newdimen\epsftmp % register for arithmetic manipulation -\newdimen\pspoints % conversion factor -% -\pspoints=1bp % Adobe points are `big' -\epsfxsize=0pt % Default value, means `use natural size' -\epsfysize=0pt % ditto -% -\def\epsfbox#1{\global\def\epsfllx{72}\global\def\epsflly{72}% - \global\def\epsfurx{540}\global\def\epsfury{720}% - \def\lbracket{[}\def\testit{#1}\ifx\testit\lbracket - \let\next=\epsfgetlitbb\else\let\next=\epsfnormal\fi\next{#1}}% -% -\def\epsfgetlitbb#1#2 #3 #4 #5]#6{\epsfgrab #2 #3 #4 #5 .\\% - \epsfsetgraph{#6}}% -% -\def\epsfnormal#1{\epsfgetbb{#1}\epsfsetgraph{#1}}% -% -\def\epsfgetbb#1{% -% -% The first thing we need to do is to open the -% PostScript file, if possible. -% -\openin\epsffilein=#1 -\ifeof\epsffilein\errmessage{I couldn't open #1, will ignore it}\else -% -% Okay, we got it. Now we'll scan lines until we find one that doesn't -% start with %. We're looking for the bounding box comment. -% - {\epsffileoktrue \chardef\other=12 - \def\do##1{\catcode`##1=\other}\dospecials \catcode`\ =10 - \loop - \read\epsffilein to \epsffileline - \ifeof\epsffilein\epsffileokfalse\else -% -% We check to see if the first character is a % sign; -% if not, we stop reading (unless the line was entirely blank); -% if so, we look further and stop only if the line begins with -% `%%BoundingBox:'. -% - \expandafter\epsfaux\epsffileline:. \\% - \fi - \ifepsffileok\repeat - \ifepsfbbfound\else - \ifepsfverbose\message{No bounding box comment in #1; using defaults}\fi\fi - }\closein\epsffilein\fi}% -% -% Now we have to calculate the scale and offset values to use. -% First we compute the natural sizes. -% -\def\epsfclipon{\def\epsfclipstring{ clip}}% -\def\epsfclipoff{\def\epsfclipstring{\ifepsfdraft\space clip\fi}}% -\epsfclipoff -% -\def\epsfsetgraph#1{% - \epsfrsize=\epsfury\pspoints - \advance\epsfrsize by-\epsflly\pspoints - \epsftsize=\epsfurx\pspoints - \advance\epsftsize by-\epsfllx\pspoints -% -% If `epsfxsize' is 0, we default to the natural size of the picture. -% Otherwise we scale the graph to be \epsfxsize wide. -% - \epsfxsize\epsfsize\epsftsize\epsfrsize - \ifnum\epsfxsize=0 \ifnum\epsfysize=0 - \epsfxsize=\epsftsize \epsfysize=\epsfrsize - \epsfrsize=0pt -% -% We have a sticky problem here: TeX doesn't do floating point arithmetic! -% Our goal is to compute y = rx/t. The following loop does this reasonably -% fast, with an error of at most about 16 sp (about 1/4000 pt). -% - \else\epsftmp=\epsftsize \divide\epsftmp\epsfrsize - \epsfxsize=\epsfysize \multiply\epsfxsize\epsftmp - \multiply\epsftmp\epsfrsize \advance\epsftsize-\epsftmp - \epsftmp=\epsfysize - \loop \advance\epsftsize\epsftsize \divide\epsftmp 2 - \ifnum\epsftmp>0 - \ifnum\epsftsize<\epsfrsize\else - \advance\epsftsize-\epsfrsize \advance\epsfxsize\epsftmp \fi - \repeat - \epsfrsize=0pt - \fi - \else \ifnum\epsfysize=0 - \epsftmp=\epsfrsize \divide\epsftmp\epsftsize - \epsfysize=\epsfxsize \multiply\epsfysize\epsftmp - \multiply\epsftmp\epsftsize \advance\epsfrsize-\epsftmp - \epsftmp=\epsfxsize - \loop \advance\epsfrsize\epsfrsize \divide\epsftmp 2 - \ifnum\epsftmp>0 - \ifnum\epsfrsize<\epsftsize\else - \advance\epsfrsize-\epsftsize \advance\epsfysize\epsftmp \fi - \repeat - \epsfrsize=0pt - \else - \epsfrsize=\epsfysize - \fi - \fi -% -% Finally, we make the vbox and stick in a \special that dvips can parse. -% - \ifepsfverbose\message{#1: width=\the\epsfxsize, height=\the\epsfysize}\fi - \epsftmp=10\epsfxsize \divide\epsftmp\pspoints - \vbox to\epsfysize{\vfil\hbox to\epsfxsize{% - \ifnum\epsfrsize=0\relax - \special{PSfile=\ifepsfdraft psdraft.ps\else#1\fi\space - llx=\epsfllx\space lly=\epsflly\space - urx=\epsfurx\space ury=\epsfury\space rwi=\number\epsftmp - \epsfclipstring}% - \else - \epsfrsize=10\epsfysize \divide\epsfrsize\pspoints - \special{PSfile=\ifepsfdraft psdraft.ps\else#1\fi\space - llx=\epsfllx\space lly=\epsflly\space - urx=\epsfurx\space ury=\epsfury\space rwi=\number\epsftmp\space - rhi=\number\epsfrsize \epsfclipstring}% - \fi - \hfil}}% -\global\epsfxsize=0pt\global\epsfysize=0pt}% -% -% We still need to define the tricky \epsfaux macro. This requires -% a couple of magic constants for comparison purposes. -% -{\catcode`\%=12 \global\let\epsfpercent=%\global\def\epsfbblit{%BoundingBox}}% -% -% So we're ready to check for `%BoundingBox:' and to grab the -% values if they are found. -% -\long\def\epsfaux#1#2:#3\\{\ifx#1\epsfpercent - \def\testit{#2}\ifx\testit\epsfbblit - \epsfgrab #3 . . . \\% - \epsffileokfalse - \global\epsfbbfoundtrue - \fi\else\ifx#1\par\else\epsffileokfalse\fi\fi}% -% -% Here we grab the values and stuff them in the appropriate definitions. -% -\def\epsfempty{}% -\def\epsfgrab #1 #2 #3 #4 #5\\{% -\global\def\epsfllx{#1}\ifx\epsfllx\epsfempty - \epsfgrab #2 #3 #4 #5 .\\\else - \global\def\epsflly{#2}% - \global\def\epsfurx{#3}\global\def\epsfury{#4}\fi}% -% -% We default the epsfsize macro. -% -\def\epsfsize#1#2{\epsfxsize} -% -% Finally, another definition for compatibility with older macros. -% -\let\epsffile=\epsfbox - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% -% Inlining of the UK date package by A. Clark. -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\def\@cent{\count0 } -\def\@diy{\count1 } -\def\@dow{\count2 } -\def\@epact{\count3 } -\def\@golden{\count4 } -\def\@leap{\count5 } -\def\@x{\count6 } -\def\@y{\count7 } - -\def\@up#1{{\@savestyle\thinspace$^{\underline{\hbox{% - \scriptsize\@setstyle#1\fam=-1 }}}$}} -\def\st{\@up{st}} -\def\nd{\@up{nd}} -\def\rd{\@up{rd}} -\def\th{\@up{th}} - -\def\@savestyle{\count0=\the\fam} -\def\@setstyle{\ifcase\count0\rm\or\mit\or\cal\or\rm - \or\it\or\sl\or\bf\or\tt\fi} - -\def\today{\dayofweek{} \number\day\ifcase\day - \or\st\or\nd\or\rd\or\th\or\th\or\th\or\th\or\th\or\th\or\th - \or\th\or\th\or\th\or\th\or\th\or\th\or\th\or\th\or\th\or\th - \or\st\or\nd\or\rd\or\th\or\th\or\th\or\th\or\th\or\th\or\th\or\st\fi - \space\ifcase\month\or January\or February\or March\or April\or May\or - June\or July\or August\or September\or October\or November\or December\fi - \space\number\year} - -\def\dayofweek{{% - \@leap=\month \advance\@leap by -14 \divide\@leap by 12 - \advance\@leap by \year - \@dow=\month \advance\@dow by 10 - \@y=\@dow \divide\@y by 13 \multiply\@y by 12 - \advance\@dow by -\@y \multiply\@dow by 13 - \advance\@dow by -1 \divide\@dow by 5 - \advance\@dow by \day \advance\@dow by 77 - \@x=\@leap \@y=\@x \divide\@y by 100 \multiply\@y by 100 \advance\@x by -\@y - \multiply\@x by 5 \divide\@x by 4 \advance\@dow by \@x - \@x=\@leap \divide\@x by 400 \advance\@dow by \@x - \@x=\@leap \divide\@x by 100 \multiply\@x by 2 \advance\@dow by -\@x - \@x=\@dow \divide\@x by 7 \multiply\@x by 7 \advance\@dow by -\@x - \ifcase\@dow Sunday\or Monday\or Tuesday\or Wednesday\or - Thursday\or Friday\or Saturday\fi}} -\def\phaseofmoon{{% - \@diy=\day \advance\@diy by \ifcase\month - -1\or -1\or 30\or 58\or 89\or 119\or 150\or - 180\or 211\or 241\or 272\or 303\or 333\fi - \ifnum \month>2 - \@x=\year \@y=\@x \divide\@y by 4 \multiply\@y by 4 \advance\@x by -\@y - \ifnum \@x=0 - \@x=\year \@y=\@x \divide\@y by 400 - \multiply\@y by 400 \advance\@x by -\@y - \ifnum \@x=0 - \advance\@diy by 1 - \else - \@x=\year \@y=\@x \divide\@y by 100 - \multiply\@y by 100 \advance\@x by -\@y - \ifnum \@x>0 - \advance\@diy by 1 - \fi - \fi - \fi - \fi - \@cent=\year \divide\@cent by 100 \advance\@cent by 1 - \@golden=\year - \@y=\year \divide\@y by 19 \multiply\@y by 19 \advance\@golden by -\@y - \advance\@golden by 1 - \@epact=11 \multiply\@epact by \@golden - \advance\@epact by 20 - \@x=8 \multiply\@x by \@cent \advance\@x by 5 - \divide\@x by 25 \advance\@x by -5 - \advance\@epact by \@x - \@x=3 \multiply\@x by \@cent \divide\@x by 4 \advance\@x by -12 - \advance\@epact by -\@x - \@y=\@epact \divide\@y by 30 \multiply\@y by 30 \advance\@epact by -\@y - \ifnum \@epact<0 - \advance\@epact by 30 - \fi - \ifnum \@epact=25 - \ifnum \@golden>11 - \advance \@epact by 1 - \fi - \else - \ifnum \@epact=24 - \advance \@epact by 1 - \fi - \fi - \@x=\@diy \advance\@x by \@epact \multiply\@x by 6 \advance\@x by 11 - \@y=\@x \divide\@y by 177 \multiply\@y by 177 \advance\@x by -\@y - \divide\@x by 22 - \ifcase\@x new\or waxing crescent\or in its first quarter\or - waxing gibbous\or full\or waning gibbous\or - in its last quarter\or waning crescent\or new\fi}} - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% -% Now, we want to define commands for exam title, time, conveners, -% and so on, *but* we want to provide hard-coded dummy values -% for exam preparers who are working on their own machines. -% This is so that status.tex does not need to be ever copied from -% the ITO installation; it is only for ITO. -% -% The logic here is simple. If we find \itostatuspath status.tex -% to exist, then we populate the values of exam title, time, and -% so on using those it contains corresponding to \courseid, which -% is set by the exam preparer using the \setcourse command. -% This is done internally by executing a command named -% \details, with replaced by their courseid. -% -% Otherwise, we use dummy values, but we've gone to the effort to -% at least include the correct course title and type (Inf3,MSc,..) -% within these mock values so as to keep the preparer happy ;-). -% -% Once that's done, we need to work out the rubric. The rubric -% is printed on the title page and is set by the exam author -% using the \setrubric command. They have the following options: -% -% {qu1_and_either_qu2_or_qu3, any_two_of_three, custom}. -% -% Again, the usage of this information follows the same structure -% as above. On an ITO machine, the master files are sourced from -% the itostatuspath directory. On an exam preparer's machine, -% we generate mock-up values for the rubric form and type. -% -% Note, if they create a custom rubric, they must then execute: -% -% \setrubricform{} and \setrubrictype to specify the custom -% rubric information. -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\newcommand{\coursestatusfcn}{} -\newcommand{\courseid}{} -\newcommand{\rubricid}{} -\newcommand{\rubricform}{} -\newcommand{\rubrictype}{} - -\providecommand{\status}{} - -\newcommand{\setcourse}[1]{ - \renewcommand{\courseid}{#1} -} - -\newcommand{\setrubric}[1]{\renewcommand{\rubricid}{#1}} -\newcommand{\setrubricform}[1]{\renewcommand{\rubricform}{#1}} -\newcommand{\setrubrictype}[1]{\renewcommand{\rubrictype}{#1}} - -\AtBeginDocument{ - \newcounter{Day} \setcounter{Day}{\day} - \newcounter{Month} \setcounter{Month}{\month} - \newcounter{Year} \setcounter{Year}{\year} -} - -\newenvironment{hint}{\par[{\bf Hint:} }{\nolinebreak]} -\newenvironment{hints}{\par[{\bf Hints:} }{\nolinebreak]} -\newenvironment{note}{\par[{\bf Note:} }{\nolinebreak]} -\newenvironment{notes}{\par[{\bf Notes:} }{\nolinebreak]} - -\def\ps@header{\let\@mkboth\@gobbletwo - \let\@oddfoot\@empty\let\@evenhead\@empty\let\@evenfoot\@oddfoot} -\def\setstatus#1{\def\@status{#1}} -\def\@status{} -\def\@nextone{f}\def\@nextbutone{f}% -\def\@oddhead{{\bf\it \@status}\hfil\it\@conthead} -\def\@conthead{\if\@nextone t\relax QUESTION CONTINUED FROM PREVIOUS PAGE\fi\xdef\@nextone{\@nextbutone}\gdef\@nextbutone{f}} -\def\continued{% -\gdef\@nextbutone{t} -\par\rightline{\it QUESTION CONTINUES ON NEXT PAGE}\newpage% -} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% -% Display the exam status (for `internal'/`external' scrutiny, or -% `final' which will print no corresponding notice). -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\def\internal{ - \setstatus{\it FOR INTERNAL SCRUTINY (date of this version: \theDay/\theMonth/\theYear)}} -\def\external{ - \setstatus{\it FOR EXTERNAL EXAMINER (date of this version: \theDay/\theMonth/\theYear)}} -\def\final{\setstatus{}} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% -% Setup the proper marks displays. -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\def\Marks#1#2{\marginpar{\raisebox{#2\baselineskip}{[{\it #1 - \ifnum #1=1 mark\else marks\fi\/}]}}} -%Version for most situations. -\def\marks#1{\Marks{#1}{0}} -% The next version is to get around the problem that you cannot put a -% marginpar in maths display. Put \marksl just before the display line. -\def\marksd#1{\Marks{#1}{-2}} -% As above but raises the box. -\def\marksu#1{\Marks{#1}{1}} - -\leftmargini=0pt - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% -% EPS macros by KK. -% -% The first argument is the filename and the second the size (of the -% x-axis or the y-axis respectively. -% -% For example \psfigx{graph1.epsf}{5in} will input your first graph -% and make the x-axis equal to 4.5in, with the y-axis appropriately -% scaled. -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\def\psfigx#1#2{ - \begin{center} - \leavevmode - \epsfxsize=#2 - \epsffile{#1} - \end{center}} - -\def\psfigy#1#2{ - \begin{center} - \leavevmode - \epsfysize=#2 - \epsffile{#1} - \end{center}} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% -% Commands for manipulating exam course data. -% -% We will use them to assign dummy values on exam preparer machines, -% and otherwise will source the master ITO status.tex if it exists -% (e.g., when we are compiling on an ITO machine). -% -% Also, the papertype.inc files and rubric.inc files will be -% loaded if we are on an ITO machine. Otherwise, we will provide -% dummy mock-up values for those as well. -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\newcommand\papertitle[1]{\global\def\nameofpaper{\uppercase{#1}}} -\newcommand\papertype[1]{\global\def\typeofpaper{ - \InputIfFileExists{\itostatuspath #1}{} - { - % - % If we're here, then this is running on exam preparer's - % machine. So, we will use mock-up values for the exam - % type text corresponding to #1. - % - % Options for #1 are {msc.inc, inf4msc.inc, inf3.inc, inf4.inc, - % nonhons.inc}. - % - - \ifthenelse{\equal{#1}{msc.inc}} - {MSc Courses - \vskip 0.1in - Convener: ITO-Will-Determine\\ - External Examiners: ITO-Will-Determine}{} - \ifthenelse{\equal{#1}{inf4msc.inc}} - {Year 4 Courses - \vskip 0.1in - Convener: ITO-Will-Determine\\ - External Examiners: ITO-Will-Determine - \vskip 0.5in - MSc Courses - \vskip 0.1in - Convener: ITO-Will-Determine\\ - External Examiners: ITO-Will-Determine}{} - \ifthenelse{\equal{#1}{inf3inf4.inc}} - {Year 3 Courses - \vskip 0.1in - Convenor: ITO-Will-Determine\\ - External Examiners: ITO-Will-Determine - \vskip 0.5in - Year 4 Courses - \vskip 0.1in - Convener: ITO-Will-Determine\\ - External Examiners: ITO-Will-Determine}{} - \ifthenelse{\equal{#1}{inf3.inc}} - {Year 3 Courses - \vskip 0.1in - Convener: ITO-Will-Determine\\ - External Examiners: ITO-Will-Determine}{} - \ifthenelse{\equal{#1}{inf4.inc}} - {Year 4 Courses - \vskip 0.1in - Convener: ITO-Will-Determine\\ - External Examiners: ITO-Will-Determine}{} - \ifthenelse{\equal{#1}{nonhons}} - {\vskip 0.2in - Convener: ITO-Will-Determine\\ - External Examiner: ITO-Will-Determine}{}}}} - -\newcommand{\paperdate}[3]{\global\def\day{#1}\global\def\month{#2}\global\def\year{#3}} -\newcommand{\papertimes}[2]{\global\def\timeofpaper{#1 to #2}} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% -% Now, we first see if we're on an ITO machine and can load the -% proper status.tex. If so, we do it and execute the corresponding -% \coursestatusfcn. -% -% Otherwise, based upon the value of courseid, we need to populate -% the title and type with basic mock-up data. -% -% This command must be called in the top-level exam document, after -% the courseid has been set. -% -% To do so: \initcoursedata -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\newcommand{\initcoursedata}{ - \IfFileExists{\itostatuspath status.tex} - { - % - % If we're here, then we're on an ITO machine. - % - - \input{\itostatuspath status.tex} - - % - % We've loaded status.tex properly then, and can now execute - % the corresponding \XXXdetails command. - % - - \ifthenelse{\equal{\courseid}{anlp}} - {\anlpdetails}{} - \ifthenelse{\equal{\courseid}{aleone}} - {\aleonedetails}{} - \ifthenelse{\equal{\courseid}{adbs}} - {\adbsdetails}{} - \ifthenelse{\equal{\courseid}{av}} - {\avdetails}{} - \ifthenelse{\equal{\courseid}{apl}} - {\apldetails}{} - \ifthenelse{\equal{\courseid}{abs}} - {\absdetails}{} - \ifthenelse{\equal{\courseid}{agta}} - {\agtadetails}{} - \ifthenelse{\equal{\courseid}{ads}} - {\adsdetails}{} - \ifthenelse{\equal{\courseid}{ad}} - {\addetails}{} - \ifthenelse{\equal{\courseid}{ar}} - {\ardetails}{} - \ifthenelse{\equal{\courseid}{asr}} - {\asrdetails}{} - \ifthenelse{\equal{\courseid}{bioone}} - {\bioonedetails}{} - \ifthenelse{\equal{\courseid}{biotwo}} - {\biotwodetails}{} - \ifthenelse{\equal{\courseid}{bdl}} - {\bdldetails}{} - \ifthenelse{\equal{\courseid}{cqi}} - {\cqidetails}{} - \ifthenelse{\equal{\courseid}{copt}} - {\coptdetails}{} - \ifthenelse{\equal{\courseid}{ct}} - {\ctdetails}{} - \ifthenelse{\equal{\courseid}{ccs}} - {\ccsdetails}{} - \ifthenelse{\equal{\courseid}{cmc}} - {\cmcdetails}{} - \ifthenelse{\equal{\courseid}{ca}} - {\cadetails}{} - \ifthenelse{\equal{\courseid}{cav}} - {\cavdetails}{} - \ifthenelse{\equal{\courseid}{car}} - {\cardetails}{} - \ifthenelse{\equal{\courseid}{comn}} - {\comndetails}{} - \ifthenelse{\equal{\courseid}{cd}} - {\cddetails}{} - \ifthenelse{\equal{\courseid}{cg}} - {\cgdetails}{} - \ifthenelse{\equal{\courseid}{cn}} - {\cndetails}{} - \ifthenelse{\equal{\courseid}{cp}} - {\cpdetails}{} - \ifthenelse{\equal{\courseid}{cs}} - {\csdetails}{} - \ifthenelse{\equal{\courseid}{dme}} - {\dmedetails}{} - \ifthenelse{\equal{\courseid}{dds}} - {\ddsdetails}{} - \ifthenelse{\equal{\courseid}{dbs}} - {\dbsdetails}{} - \ifthenelse{\equal{\courseid}{dmmr}} - {\dmmrdetails}{} - \ifthenelse{\equal{\courseid}{dmr}} - {\dmrdetails}{} - \ifthenelse{\equal{\courseid}{ds}} - {\dsdetails}{} - \ifthenelse{\equal{\courseid}{epl}} - {\epldetails}{} - \ifthenelse{\equal{\courseid}{es}} - {\esdetails}{} - \ifthenelse{\equal{\courseid}{exc}} - {\excdetails}{} - \ifthenelse{\equal{\courseid}{fv}} - {\fvdetails}{} - \ifthenelse{\equal{\courseid}{fnlp}} - {\fnlpdetails}{} - \ifthenelse{\equal{\courseid}{hci}} - {\hcidetails}{} - \ifthenelse{\equal{\courseid}{infonecg}} - {\infonecgdetails}{} - \ifthenelse{\equal{\courseid}{infonecl}} - {\infonecldetails}{} - \ifthenelse{\equal{\courseid}{infoneda}} - {\infonedadetails}{} - \ifthenelse{\equal{\courseid}{infonefp}} - {\infonefpdetails}{} - \ifthenelse{\equal{\courseid}{infonefpam}} - {\infonefpamdetails}{} - \ifthenelse{\equal{\courseid}{infonefppm}} - {\infonefppmdetails}{} - \ifthenelse{\equal{\courseid}{infoneop}} - {\infoneopdetails}{} - \ifthenelse{\equal{\courseid}{infoneopam}} - {\infoneopamdetails}{} - \ifthenelse{\equal{\courseid}{infoneoppm}} - {\infoneoppmdetails}{} - \ifthenelse{\equal{\courseid}{inftwoa}} - {\inftwoadetails}{} - \ifthenelse{\equal{\courseid}{inftwob}} - {\inftwobdetails}{} - \ifthenelse{\equal{\courseid}{inftwoccs}} - {\inftwoccsdetails}{} - \ifthenelse{\equal{\courseid}{inftwocse}} - {\inftwocsedetails}{} - \ifthenelse{\equal{\courseid}{inftwod}} - {\inftwoddetails}{} - \ifthenelse{\equal{\courseid}{iar}} - {\iardetails}{} - \ifthenelse{\equal{\courseid}{imc}} - {\imcdetails}{} - \ifthenelse{\equal{\courseid}{iotssc}} - {\iotsscdetails}{} - \ifthenelse{\equal{\courseid}{iqc}} - {\iqcdetails}{} - \ifthenelse{\equal{\courseid}{itcs}} - {\itcsdetails}{} - \ifthenelse{\equal{\courseid}{ivc}} - {\ivcdetails}{} - \ifthenelse{\equal{\courseid}{ivr}} - {\ivrdetails}{} - \ifthenelse{\equal{\courseid}{iaml}} - {\iamldetails}{} - \ifthenelse{\equal{\courseid}{lpt}} - {\lptdetails}{} - \ifthenelse{\equal{\courseid}{lpp}} - {\lppdetails}{} - \ifthenelse{\equal{\courseid}{mlpr}} - {\mlprdetails}{} - \ifthenelse{\equal{\courseid}{mt}} - {\mtdetails}{} - \ifthenelse{\equal{\courseid}{mi}} - {\midetails}{} - \ifthenelse{\equal{\courseid}{nlu}} - {\nludetails}{} - \ifthenelse{\equal{\courseid}{nc}} - {\ncdetails}{} - \ifthenelse{\equal{\courseid}{nip}} - {\nipdetails}{} - \ifthenelse{\equal{\courseid}{os}} - {\osdetails}{} - \ifthenelse{\equal{\courseid}{pa}} - {\padetails}{} - \ifthenelse{\equal{\courseid}{pdiot}} - {\pdiotdetails}{} - \ifthenelse{\equal{\courseid}{ppls}} - {\pplsdetails}{} - \ifthenelse{\equal{\courseid}{pm}} - {\pmdetails}{} - \ifthenelse{\equal{\courseid}{pmr}} - {\pmrdetails}{} - \ifthenelse{\equal{\courseid}{pi}} - {\pidetails}{} - \ifthenelse{\equal{\courseid}{rc}} - {\rcdetails}{} - \ifthenelse{\equal{\courseid}{rl}} - {\rldetails}{} - \ifthenelse{\equal{\courseid}{rlsc}} - {\rlscdetails}{} - \ifthenelse{\equal{\courseid}{rss}} - {\rssdetails}{} - \ifthenelse{\equal{\courseid}{sp}} - {\spdetails}{} - \ifthenelse{\equal{\courseid}{sws}} - {\swsdetails}{} - \ifthenelse{\equal{\courseid}{stn}} - {\stndetails}{} - \ifthenelse{\equal{\courseid}{sapm}} - {\sapmdetails}{} - \ifthenelse{\equal{\courseid}{sdm}} - {\sdmdetails}{} - \ifthenelse{\equal{\courseid}{st}} - {\stdetails}{} - \ifthenelse{\equal{\courseid}{ttds}} - {\ttdsdetails}{} - \ifthenelse{\equal{\courseid}{tspl}} - {\tspldetails}{} - - } - { - % - % If we're here, then we're on an exam preparer's machine. - % So, we're going to use their set \courseid to give some - % nice mock-up values to the title and type text. - % - - \ifthenelse{\equal{\courseid}{anlp}} - {\papertitle{INFR 11125 Accelerated Natural Language Processing} - \papertype{msc.inc}}{} - \ifthenelse{\equal{\courseid}{aleone}} - {\papertitle{Adaptive Learning Environments (Level 11)} - \papertype{inf4.inc}}{} - \ifthenelse{\equal{\courseid}{adbs}} - {\papertitle{Advanced Databases} - \papertype{inf4.inc}}{} - \ifthenelse{\equal{\courseid}{av}} - {\papertitle{Advanced Vision (Level 11)} - \papertype{inf4.inc}}{} - \ifthenelse{\equal{\courseid}{apl}} - {\papertitle{Advances in Programming Languages} - \papertype{inf4.inc}}{} - \ifthenelse{\equal{\courseid}{abs}} - {\papertitle{Agent Based Systems} - \papertype{inf3.inc}}{} - \ifthenelse{\equal{\courseid}{agta}} - {\papertitle{Algorithmic Game Theory and its Applications} - \papertype{msc.inc}}{} - \ifthenelse{\equal{\courseid}{ads}} - {\papertitle{Algorithms and Data Structures} - \papertype{inf3.inc}}{} - \ifthenelse{\equal{\courseid}{ad}} - {\papertitle{INFR11015 Applied Databases} - \papertype{msc.inc}}{} - \ifthenelse{\equal{\courseid}{ar}} - {\papertitle{Automated Reasoning (Level 11)} - \papertype{inf4.inc}}{} - \ifthenelse{\equal{\courseid}{asr}} - {\papertitle{Automatic Speech Recognition} - \papertype{inf4.inc}}{} - \ifthenelse{\equal{\courseid}{bioone}} - {\papertitle{Bioinformatics 1} - \papertype{msc.inc}}{} - \ifthenelse{\equal{\courseid}{biotwo}} - {\papertitle{Bioinformatics 2} - \papertype{msc.inc}}{} - \ifthenelse{\equal{\courseid}{bdl}} - {\papertitle{INFR11144 Blockchains and Distributed Ledgers} - \papertype{inf4.inc}}{} - \ifthenelse{\equal{\courseid}{cqi}} - {\papertitle{Categories and Quantum Informatics} - \papertype{msc.inc}}{} - \ifthenelse{\equal{\courseid}{copt}} - {\papertitle{Compiler Optimisation (Level 11)} - \papertype{inf4.inc}}{} - \ifthenelse{\equal{\courseid}{ct}} - {\papertitle{Compiling Techniques} - \papertype{inf3.inc}}{} - \ifthenelse{\equal{\courseid}{ccs}} - {\papertitle{Computational Cognitive Science} - \papertype{inf3.inc}}{} - \ifthenelse{\equal{\courseid}{cmc}} - {\papertitle{Computational Complexity} - 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\papertype{inf4.inc}}{} - - % \ifthenelse{\equal{\courseid}{XXX}} - % { }{} - - % - % Let's also do a mock-up date/time to make the exam preparer happy: - % (Aren't we sweet?) - % - - \paperdate{1}{4}{2017} - \papertimes{00:00}{00:00} - - % - % Also, we'll set the exam status to internal for the mock-up. - % - - \internal - - }} - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% -% Now, we can build the appropriate rubric form and type. -% -% We set rubric type and form to alert values. These will be over- -% written if the author has done things right. Otherwise, they -% will provide good error messages to the author. -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\setrubricform{Rubric Form has not been initialized.} -\setrubrictype{Rubric type has not been initialized.} - -\newcommand{\initrubricdata}{ - - % - % We need to load both form and type data for the rubric. - % - % If we're on an ITO machine, we'll load it from the master path. - % If not, we'll setup some mock-up values. - % - % We only do this if the rubric is not custom, though. - % - % This section also defines \rubricqA, B and C. These are initialised as empty definitions - % and then the correct text is added depending on the rubric selected - % - \def\rubricqA{} - \def\rubricqB{} - \def\rubricqC{} - - \ifthenelse{\equal{\rubricid}{custom}}{} - { - %% HONS RUBRICS - - \ifthenelse{\equal{\rubricid}{qu1_and_either_qu2_or_qu3}}{ - \setrubrictype{ - Answer QUESTION 1 and ONE other question. \\ - \bigskip - Question 1 is COMPULSORY. If both QUESTION 2 and QUESTION 3 are answered, only QUESTION 2 will be marked. \\ - \bigskip - All questions carry equal weight.\\ - \bigskip - CALCULATORS MAY NOT BE USED IN THIS EXAMINATION \\ - } - - %% Additional command to be used for question 1. - \def\rubricqA{THIS QUESTION IS COMPULSORY} - \def\rubricqB{ANSWER EITHER THIS QUESTION OR QUESTION 3} - \def\rubricqC{ANSWER EITHER THIS QUESTION OR QUESTION 2} - }{} - - \ifthenelse{\equal{\rubricid}{qu1_and_either_qu2_or_qu3_calc}}{ - \setrubrictype{ - Answer QUESTION 1 and ONE other question. \\ - \bigskip - Question 1 is COMPULSORY. If both QUESTION 2 and QUESTION 3 are answered, only QUESTION 2 will be marked. \\ - \bigskip - All questions carry equal weight.\\ - \bigskip - - CALCULATORS MAY BE USED IN THIS EXAMINATION \\ - } - - %% Additional command to be used for question 1. - \def\rubricqA{THIS QUESTION IS COMPULSORY} - \def\rubricqB{ANSWER EITHER THIS QUESTION OR QUESTION 3} - \def\rubricqC{ANSWER EITHER THIS QUESTION OR QUESTION 2} - }{} - - \ifthenelse{\equal{\rubricid}{any_two_of_three}}{ - \setrubrictype{ - Answer any TWO of the three questions. If more than two questions are answered, only QUESTION 1 and QUESTION 2 will be marked.\\ - \bigskip - All questions carry equal weight.\\ - \bigskip - CALCULATORS MAY NOT BE USED IN THIS EXAMINATION \\ - } - }{} - - \ifthenelse{\equal{\rubricid}{any_two_of_three_calc}}{ - \setrubrictype{ - Answer any TWO of the three questions. If more than two questions are answered, only QUESTION 1 and QUESTION 2 will be marked.\\ - \bigskip - All questions carry equal weight.\\ - \bigskip - CALCULATORS MAY BE USED IN THIS EXAMINATION \\ - } - }{} - - \ifthenelse{\equal{\rubricid}{infone}}{ - \setrubrictype{ - \begin{enumerate} - \item Note that ALL QUESTIONS ARE COMPULSORY. - \item DIFFERENT QUESTIONS MAY HAVE DIFFERENT NUMBERS OF TOTAL MARKS. - Take note of this in allocating time to questions. - \item CALCULATORS MAY NOT BE USED IN THIS EXAMINATION. - \end{enumerate} - } - }{} - - \ifthenelse{\equal{\rubricid}{infone_calcs}}{ - \setrubrictype{ - \begin{enumerate} - \item Note that ALL QUESTIONS ARE COMPULSORY. - \item DIFFERENT QUESTIONS MAY HAVE DIFFERENT NUMBERS OF TOTAL MARKS. - Take note of this in allocating time to questions. - \item CALCULATORS MAY BE USED IN THIS EXAMINATION. - \end{enumerate} - } - }{} - - \ifthenelse{\equal{\rubricid}{infone_openbook}}{ - \setrubrictype{ - \begin{enumerate} - \item Note that ALL QUESTIONS ARE COMPULSORY. - \item DIFFERENT QUESTIONS MAY HAVE DIFFERENT NUMBERS OF TOTAL MARKS. - Take note of this in allocating time to questions. - \item This is an OPEN BOOK examination: notes and printed material are allowed, - but no electronic devices or electronic media. - \end{enumerate} - } - }{} - - } -} - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% -% Now, we can build the title page. 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-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% Instructions for TSPL Exam -% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\documentclass[12pt]{article} -\usepackage{a4,amssymb} -% \setlength{\oddsidemargin}{-1.5cm} -% \addtolength{\textwidth}{2cm} -% \addtolength{\textheight}{3cm} - -\begin{document} -\pagestyle{empty} -\setcounter{page}{1} - -\begin{center} -\large Types and Semantics for Programming Languages -\end{center} - -\section*{Instructions} - -\begin{enumerate} - -\item - The exam lasts two hours. - -\item - Place your student identity card face-up on the desk in front of you. The - invigilator may come to check your identity, and in this case you may be asked - to allow the invigilator to briefly use your computer. The exam time has been - calculated to allow time for such interruptions. - -\item - You may log into your computer as soon as you are ready to do so. - -\item - To download the exam paper, open a terminal window and type: - \begin{center} - \texttt{getpapers} - \end{center} - This will create a subdirectory \texttt{tspl-pe} in your home directory, - containing the following files. - \begin{center} - \begin{tabular}{ll} - \texttt{tspl-pe/papers/exam.pdf} & the exam \\ - \texttt{tspl-pe/papers/instructions.pdf} & these instructions \\ - \texttt{tspl-pe/templates/Exam.lagda} & exam template to edit \\ - \texttt{tspl-pe/original\_templates/Exam.lagda} & backup of exam template - \end{tabular} - \end{center} - The directories \texttt{tspl-pe/papers} and - \texttt{tspl-pe/original\_templates} - are read only, but you may read and write \texttt{tspl-pe/templates}. - -\item - To setup the Agda environment, open a second terminal window and type: - \begin{center} - \texttt{tspl-setup} - \end{center} - This will open a browser, with three tabs which contain the textbook - \emph{Programming Language Foundations in Agda}, the documentation for the - Agda standard library, and the documentation for Agda. (The browser may - also attempt to link to the internet, which brings up a tab labeled - ``Problem loading page''; this is expected and not a problem.) - -{\it (Note that internet access has been disabled.)} - -\begin{center} - \textbf{Do nothing further until the start of the exam is announced!} -\end{center} - -\hfill \textit{Please Turn Over} -\newpage - -\item When the start of the exam is announced, open the exam paper -\begin{center} - \texttt{tspl-pe/papers/exam.pdf} -\end{center} -with the standard PDF viewer. - -\item Change to the template directory -\begin{center} - \texttt{cd tspl-pe/templates} -\end{center} -and edit the file -\begin{center} - \texttt{Exam.lagda} -\end{center} -to include your answers, using Emacs or anything else suitable. -You are recommended to save your work on a regular basis. - -\item Before submitting, make sure your file is processed by Agda - correctly. Code which prevents the file from compiling should be - made into comments. If you fail to solve part of a problem, you - may get more credit if you indicate clearly which part you have - not solved. - -\item \emph{Please ensure before submission that the file} - \texttt{Exam.lagda} \emph{contains your solutions to the exam.} Submit - your file using the command: - \begin{center} - \texttt{examsubmit Exam.lagda} - \end{center} - If you get an error, please check carefully that your file is called - \texttt{Exam.lagda} and that you are in the same directory as this - file. If you continue to have problems, please contact one of the - invigilators. - -Repeated submit commands are allowed, and will overwrite previous -submissions. The last file submitted will be the one marked. - -\item When the invigilators announce the end of the exam, you must - submit and log out immediately. - -\end{enumerate} - -\end{document} - - -%%% Local Variables: -%%% mode: latex -%%% TeX-master: t -%%% End: diff --git a/tspl/mock.pdf b/tspl/mock.pdf deleted file mode 100644 index afbf55c409b0fe9f5eaf45a80c3fd2fa614b7752..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 190258 zcma&LV~j3PvnAYipSEq=wr$%!ZQFd>w%vW&wr$(C`Mr0(JHPHEGy6xSc2%;IN@cCo zUPY!TDo)2l&jv#_w=}#4!$QbN=wNIO!^;c9AZuoC;bKY1$;L(a{~s6zaVuLFGbcg@ zaa$u7Gf^`W2U9Z`etsBd7bi0#I~b3R6g4^LO?JfYON~9KsbtC?;1h9`rfF4Ty9C+H z@uPfE*`f+MjzrzE-=1iMk<jWIl6i(vnsWh9SIs}#J~+>*X^cuQdaFcIj40w(n1d1 znrS1{+v+A~!bN&t%zCwM%E#d+Sc|MdvOc;hI#^`&nrSoRsd@E3O4S|xLE$8~^lPGy z7Y2`kID9k_fuRSY10{oD3j-=Hz_G=hQ=I`}&JtWnlqy`y)C$uz0D$-Iuen@E-|tWp z?=X(3mAw|!Y7n+XLUH>X(+dz3;OD6N!ot7;m+8%sG`pzXQF1ezn|!Y9bNv$m&Tj9} zW~dw;f-kh_RZ^wO$T_@Y{rZX+^8~D6%#KiAN2W%`EV}oFw9&&G;~&h3ol{tFPkXZ1m>w^xkzGPko-#U$WRi*7qN0 zT>-z*JC>&dxNiW3DL2v;2gKBhB52%Lo0qx&w`{UN>pNLOeJ9D5eAu_uciFYx!}usu z?Q2i|kiS>=h}@AhjCCw;No6|7?3$dcul8-AF9$H@VTEf{WJIgK4;MKTt_L!6o@zv@ zRv#U8_}_$JtF99DaRWyEm`rnHOcgqxo5M%3hQT?tM=NSF9sN}*p=WO-h%l*fKEB0e zKQ8RP4BZ@gi1_V2#~j+yL;-yKSIB(g9S#vJ*$`Pq>#}m>7&5M(EU3^?Jj;_innWoo zCOD7S%^1qqT`yq4bX$I5o>4;+MDtFZMc?@)P@aE6&vdzm9vlg}zK_8U*M~3RzdFZX zy;LlTPC0qg7X%S5oN`~|77mxg2dV(Ge;;yfHrVOEAgL>*TQFw! 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Murray -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -%%% The following define the status of the exam papers in the order -%%% required. Simply remove the comment (i.e., the % symbol) just -%%% before the appropriate one and comment the others out. - -%\newcommand\status{\internal} -%\newcommand\status{\external} -\newcommand\status{\final} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -%%% The following three lines are always required. You may add -%%% custom packages to the one already defined if necessary. - -\documentclass{examhons2018} -\usepackage{amssymb} -\usepackage{amsmath} -\usepackage{semantic} -\usepackage{stix} - -%%% Uncomment the \checkmarksfalse line if the macros that check the -%%% mark totals cause problems. However, please do not make your -%%% questions add up to a non-standard number of marks without -%%% permission of the convenor. -%\checkmarksfalse - -\begin{document} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% -% Replace {ad} below with the ITO code for your course. This will -% be used by the ITO LaTeX installation to install course-specific -% data into the exam versions it produces from this document. -% -% Your choices are (in course title order): -% -% {anlp} - Acc. Natural Language Processing (MSc) -% {aleone} - Adaptive Learning Environments 1 (Inf4) -% {adbs} - Advanced Databases (Inf4) -% {av} - Advanced Vision (Inf4) -% {av-dl} - Advanced Vision - distance learning (MSc) -% {apl} - Advances in Programming Languages (Inf4) -% {abs} - Agent Based Systems [L10] (Inf3) -% {afds} - Algorithmic Foundations of Data Science (MSc) -% {agta} - Algorithmic Game Theory and its Apps. 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Skills and Concepts (nonhons) -% {cs} - Computer Security (Inf3) -% {dds} - Data, Design and Society (nonhons) -% {dme} - Data Mining and Exploration (Msc) -% {dbs} - Database Systems (Inf3) -% {dmr} - Decision Making in Robots and Autonomous Agents(MSc) -% {dmmr} - Discrete Maths. and Math. 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F&N Languages (nonhons) -% {inftwob} - Informatics 2B: Algs., D.Structs., Learning(nonhons) -% {inftwoccs}- Informatics 2C-CS: Computer Systems (nonhons) -% {inftwocse}- Informatics 2C: Software Engineering (nonhons) -% {inftwod} - Informatics 2D: Reasoning and Agents (nonhons) -% {iar} - Intelligent Autonomous Robotics (Inf4) -% {it} - Information Theory (MSc) -% {imc} - Introduction to Modern Cryptography (Inf4) -% {iotssc} - Internet of Things, Systems, Security and the Cloud (Inf4) -% (iqc) - Introduction to Quantum Computing (Inf4) -% (itcs) - Introduction to Theoretical Computer Science (Inf3) -% {ivc} - Image and Vision Computing (MSc) -% {ivr} - Introduction to Vision and Robotics (Inf3) -% {ivr-dl} - Introduction to Vision and Robotics - distance learning (Msc) -% {iaml} - Introductory Applied Machine Learning (MSc) -% {iaml-dl} - Introductory Applied Machine Learning - distance learning (MSc) -% {lpt} - Logic Programming - Theory (Inf3) -% {lpp} - Logic Programming - Programming (Inf3) -% {mlpr} - Machine Learning & Pattern Recognition (Inf4) -% {mt} - Machine Translation (Inf4) -% {mi} - Music Informatics (MSc) -% {nlu} - Natural Language Understanding [L11] (Inf4) -% {nc} - Neural Computation (MSc) -% {nat} - Natural Computing (MSc) -% {nluplus} - Natural Language Understanding, Generation, and Machine Translation(MSc) -% {nip} - Neural Information Processing (MSc) -% {os} - Operating Systems (Inf3) -% {pa} - Parallel Architectures [L11] (Inf4) -% {pdiot} - Principles and Design of IoT Systems (Inf4) -% {ppls} - Parallel Prog. Langs. and Sys. [L11] (Inf4) -% {pm} - Performance Modelling (Inf4) -% {pmr} - Probabilistic Modelling and Reasoning (MSc) -% {pi} - Professional Issues (Inf3) -% {rc} - Randomness and Computation (Inf4) -% {rl} - Reinforcement Learning (MSc) -% {rlsc} - Robot Learning and Sensorimotor Control (MSc) -% {rss} - Robotics: Science and Systems (MSc) -% {sp} - Secure Programming (Inf4) -% {sws} - Semantic Web Systems (Inf4) -% {stn} - Social and Technological Networks (Inf4) -% {sapm} - Software Arch., Proc. and Mgmt. [L11] (Inf4) -% {sdm} - Software Design and Modelling (Inf3) -% {st} - Software Testing (Inf3) -% {ttds} - Text Technologies for Data Science (Inf4) -% {tspl} - Types and Semantics for Programming Langs. (Inf4) -% {usec} - Usable Security and Privacy (Inf4) -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\setcourse{tspl} -\initcoursedata - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% -% Set your exam rubric type. -% -% Most courses in the School have exams that add up to 50 marks, -% and your choices are: -% {qu1_and_either_qu2_or_qu3, any_two_of_three, do_exam} -% (which include the "CALCULATORS MAY NOT BE USED..." text), or -% {qu1_and_either_qu2_or_qu3_calc, any_two_of_three_calc, do_exam_calc} -% (which DO NOT include the "CALCULATORS MAY NOT BE USED..." text), or -% {custom}. -% -% Note, if you opt to create a custom rubric, you must: -% -% (i) **have permission** from the appropriate authority, and -% (ii) execute: -% -% \setrubrictype{} to specify the custom rubric information. -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\setrubric{qu1_and_either_qu2_or_qu3} - -\examtitlepage - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% -% Manual override for total page number computation. -% -% As long as you run latex upon this document three times in a row, -% the right number of `total pages' should be computed and placed -% in the footer of all pages except the title page. -% -% But, if this fails, you can set that number yourself with the -% following command: -% -% \settotalpages{n} with n a natural number. -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% -% Beginning of your exam text. -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\begin{enumerate} - -\item \rubricqA - -\newcommand{\key}{\texttt} -\newcommand{\List}{\key{list}} -\newcommand{\nil}{\texttt{[]}} -\newcommand{\cons}{\mathbin{\key{::}}} -\newcommand{\member}{\key{member}} -\newcommand{\sublist}{\key{sublist}} - -This question uses the library definition of $\List$ in Agda. -Here is an informal definition of the predicates $\in$ -and $\subseteq$. (In Emacs, you can type $\in$ as \verb$\in$ and $\subseteq$ as \verb$\subseteq$.) -$\subseteq$ -\begin{gather*} -\inference[$\key{here}$] - {} - {x \in (x \cons xs)} -\qquad -\inference[$\key{there}$] - {x \in ys} - {x \in (y \cons ys)} -\\~\\ -\inference[$\key{done}$] - {} - {\nil \subseteq ys} -\\~\\ -\inference[$\key{keep}$] - {xs \subseteq ys} - {(x \cons xs) \subseteq (x \cons ys)} -\qquad -\inference[$\key{drop}$] - {xs \subseteq ys} - {xs \subseteq (y \cons ys)} -\end{gather*} - -\begin{itemize} - -\item[(a)] Formalise the definition above. -\marks{10} - -\item[(b)] Prove each of the following. - \begin{itemize} - \item[(i)] $\key{2} \in \key{[1,2,3]}$ - \item[(ii)] $\key{[1,3]} \subseteq \key{[1,2,3,4]}$ - \end{itemize} -\marks{5} - -\item[(c)] Prove the following. -\begin{center} -If $xs \subseteq ys$ then $z \in xs$ implies $z \in ys$ for all $z$. -\end{center} -\marks{10} - -\end{itemize} - -\newpage - -\item \rubricqB - -\newcommand{\Tree}{\texttt{Tree}} -\newcommand{\leaf}{\texttt{leaf}} -\newcommand{\branch}{\texttt{branch}} -\newcommand{\CASET}{\texttt{caseT}} -\newcommand{\caseT}[6]{\texttt{case}~#1~\texttt{[leaf}~#2~\Rightarrow~#3~\texttt{|}~#4~\texttt{branch}~#5~\Rightarrow~#6\texttt{]}} -\newcommand{\ubar}{\texttt{\underline{~}}} -\newcommand{\comma}{\,\texttt{,}\,} -\newcommand{\V}{\texttt{V}} -\newcommand{\dash}{\texttt{-}} -\newcommand{\Value}{\texttt{Value}} -\newcommand{\becomes}{\longrightarrow} -\newcommand{\subst}[3]{#1~\texttt{[}~#2~\texttt{:=}~#3~\texttt{]}} - - -You will be provided with a definition of intrinsically-typed lambda -calculus in Agda. Consider constructs satisfying the following rules, -written in extrinsically-typed style. - -Typing: -\begin{gather*} - \inference[\leaf] - {\Gamma \vdash M \typecolon A} - {\Gamma \vdash \leaf~M \typecolon \Tree~A} -\quad - \inference[\branch] - {\Gamma \vdash M \typecolon \Tree~A \\ - \Gamma \vdash N \typecolon \Tree~A} - {\Gamma \vdash M~\branch~N \typecolon \Tree~A} -\\~\\ - \inference[\CASET] - {\Gamma \vdash L \typecolon \Tree~A \\ - \Gamma \comma x \typecolon A \vdash M \typecolon B \\ - \Gamma \comma y \typecolon \Tree~A \comma z \typecolon \Tree~A \vdash N \typecolon B} - {\Gamma \vdash \caseT{L}{x}{M}{y}{z}{N} \typecolon B} -\end{gather*} - -Values: -\begin{gather*} -\inference[\V\dash\leaf] - {\Value~V} - {\Value~(\leaf~V)} -\qquad -\inference[\V\dash\branch] - {\Value~V \\ - \Value~W} - {\Value~(V~\branch~W)} -\end{gather*} - -Reduction: -\begin{gather*} -\inference[$\xi\dash\leaf$] - {M \becomes M'} - {\leaf{M} \becomes \leaf{M'}} -\\~\\ -\inference[$\xi\dash\branch_1$] - {M \becomes M'} - {M~\branch~N \becomes M'~\branch~N} -\qquad -\inference[$\xi\dash\branch_2$] - {\Value~V \\ - N \becomes N'} - {V~\branch~N \becomes V~\branch~N'} -\\~\\ -\inference[$\xi\dash\CASET$] - {L \becomes L'} - {\begin{array}{c} - \caseT{L}{x}{M}{y}{z}{N} \becomes \\ - {} \quad \caseT{L'}{x}{M}{y}{z}{N} - \end{array}} -\\~\\ -\inference[$\beta\dash\leaf$] - {\Value~V} - {\caseT{(\leaf~V)}{x}{M}{y}{z}{N} \becomes \subst{M}{x}{V}} -\\~\\ -\inference[$\beta\dash\branch$] - {\Value~V \\ - \Value~W} - {\caseT{(V~\branch~W)}{x}{M}{y}{z}{N} \becomes \subst{\subst{N}{y}{V}}{z}{W}} -\end{gather*} - -\begin{enumerate} -\item[(a)] Extend the given definition to formalise the evaluation and - typing rules, including any other required definitions. - \marks{12} - -\item[(b)] Prove progress. You will be provided with a proof of - progress for the simply-typed lambda calculus that you may - extend. - \marks{13} -\end{enumerate} - -Please delimit any code you add as follows. -\begin{verbatim} --- begin --- end -\end{verbatim} - -\newpage - -\item \rubricqC - -\newcommand{\Lift}{\texttt{Lift}} -\newcommand{\delay}{\texttt{delay}} -\newcommand{\force}{\texttt{force}} -\newcommand{\up}{\uparrow} -\newcommand{\dn}{\downarrow} - -You will be provided with a definition of inference for extrinsically-typed lambda -calculus in Agda. Consider constructs satisfying the following rules, -written in extrinsically-typed style that support bidirectional inference. - -Typing: -\begin{gather*} -\inference[$\delay$] - {\Gamma \vdash M \dn A} - {\Gamma \vdash \delay~M \dn \Lift~A} -\\~\\ -\inference[$\force$] - {\Gamma \vdash L \up \Lift~A} - {\Gamma \vdash \force~L \up A} -\end{gather*} - -\begin{enumerate} -\item[(a)] Extend the given definition to formalise the typing rules, -and update the definition of equality on types. - \marks{10} - -\item[(b)] Extend the code to support type inference for the new features. - \marks{15} -\end{enumerate} - -Please delimit any code you add as follows. -\begin{verbatim} --- begin --- end -\end{verbatim} - -\end{enumerate} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% -% End of your exam text. -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\end{document} diff --git a/tspl/tspl.agda-lib b/tspl/tspl.agda-lib deleted file mode 100644 index 8c72811e..00000000 --- a/tspl/tspl.agda-lib +++ /dev/null @@ -1,3 +0,0 @@ -name: tspl -depend: standard-library plfa -include: .