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----
-title : Table of Contents
-layout : page
----
-
-This book is an introduction to programming language theory using the
-proof assistant Agda.
-
-Comments on all matters---organisation, material to add, material to
-remove, parts that require better explanation, good exercises, errors,
-and typos---are welcome. The book repository is on [GitHub].
-Pull requests are encouraged.
-
-## Front matter
-
- - [Dedication]({{ site.baseurl }}/Dedication/)
- - [Preface]({{ site.baseurl }}/Preface/)
-
-## Part 1: Logical Foundations
-
- - [Naturals]({{ site.baseurl }}/Naturals/): Natural numbers
- - [Induction]({{ site.baseurl }}/Induction/): Proof by induction
- - [Relations]({{ site.baseurl }}/Relations/): Inductive definition of relations
- - [Equality]({{ site.baseurl }}/Equality/): Equality and equational reasoning
- - [Isomorphism]({{ site.baseurl }}/Isomorphism/): Isomorphism and embedding
- - [Connectives]({{ site.baseurl }}/Connectives/): Conjunction, disjunction, and implication
- - [Negation]({{ site.baseurl }}/Negation/): Negation, with intuitionistic and classical logic
- - [Quantifiers]({{ site.baseurl }}/Quantifiers/): Universals and existentials
- - [Decidable]({{ site.baseurl }}/Decidable/): Booleans and decision procedures
- - [Lists]({{ site.baseurl }}/Lists/): Lists and higher-order functions
-
-## Part 2: Programming Language Foundations
-
- - [Lambda]({{ site.baseurl }}/Lambda/): Introduction to Lambda Calculus
- - [Properties]({{ site.baseurl }}/Properties/): Progress and Preservation
- - [DeBruijn]({{ site.baseurl }}/DeBruijn/): Intrinsically-typed de Bruijn representation
- - [More]({{ site.baseurl }}/More/): Additional constructs of simply-typed lambda calculus
- - [Bisimulation]({{ site.baseurl }}/Bisimulation/): Relating reductions systems
- - [Inference]({{ site.baseurl }}/Inference/): Bidirectional type inference
- - [Untyped]({{ site.baseurl }}/Untyped/): Untyped lambda calculus with full normalisation
-
-## Backmatter
-
- - [Acknowledgements]({{ site.baseurl }}/Acknowledgements/)
- - [Fonts]({{ site.baseurl }}/Fonts/): Test page for fonts
- - [Statistics]({{ site.baseurl }}/Statistics/): Line counts for each chapter
-
-## Related
-
- - Mailing lists for PLFA:
- * [plfa-interest@inf.ed.ac.uk](http://lists.inf.ed.ac.uk/mailman/listinfo/plfa-interest):
- A mailing list for users of the book.
- This is the place to ask and answer questions, or comment on the content of the book.
- * [plfa-dev@inf.ed.ac.uk](http://lists.inf.ed.ac.uk/mailman/listinfo/plfa-dev):
- A mailing list for contributors.
- This is the place to discuss changes and new additions to the book in excruciating detail.
- - Courses taught from the textbook:
- * Philip Wadler, University of Edinburgh,
- [2018]({{ site.baseurl }}/TSPL/2018/),
- [2019]({{ site.baseurl }}/TSPL/2019/)
- * David Darais, University of Vermont,
- [2018][UVM-2018]
- * John Leo, Google Seattle, 2018--2019
- * Philip Wadler, Pontifícia Universidade Católica do Rio de Janeiro (PUC-Rio),
- [2019]({{ site.baseurl }}/PUC/2019/)
- * Prabhakar Ragde, University of Waterloo,
- [2019][UW-2019]
- * Adrian King,
- San Francisco Types, Theorems, and Programming Languages Meetup
- [2019--2020][SFPL-Meetup-2020]
- * Jeremy Siek, Indiana University,
- [2020][IU-2020]
- * William Cook, University of Texas,
- [2020][UT-2020]
- - Shortlisted for Outstanding Course by Edinburgh University Student
- Association (second place) [2020][EUSA-2020]
- * "Types and Semantics for Programming Languages was the single
- best course I took throughout my time at the University of
- Edinburgh. Philip Wadler clearly poured his heart into teaching
- it, including writing a whole textbook including exercises
- specifically for the course."
- * "One of the most inspiring courses. Philip designed a course
- that is both very theoretical and very practical."
- - A paper describing the book appeared in [SBMF][SBMF].
- - [NextJournal][NextJournal] has built a notebook version of PLFA, which lets you edit and execute the book via a web interface.
-
-[GitHub]: https://github.com/plfa/plfa.github.io/
-[SBMF]: https://homepages.inf.ed.ac.uk/wadler/topics/agda.html#sbmf
-[NextJournal]: https://nextjournal.com/plfa/ToC
-[UVM-2018]: https://web.archive.org/web/20190324115921/http://david.darais.com/courses/fa2018-cs295A/
-[IU-2020]: https://jsiek.github.io/B522-PL-Foundations/
-[SFPL-Meetup-2020]: http://meet.meetup.com/wf/click?upn=ZDzXt-2B-2BZmzYir6Bq5X7vEQ2iNYdgjN9-2FU9nWKp99AU8rZjrncUsSYODqOGn6kV-2BqW71oirCo-2Bk8O1q2FtDFhYZR-2B737CPhNWBjt58LuSRC-2BWTj61VZCHquysW8z7dVtQWxB5Sorl3chjZLDptP70L7aBZL14FTERnKJcRQdrMtc-3D_IqHN4t3hH47BvE1Cz0BakIxV4odHudhr6IVs-2Fzslmv-2FBuORsh-2FwQmOxMBdyMHsSBndQDQmt47hobqsLp-2Bm04Y9LwgV66MGyucsd0I9EgDEUB-2FjzdtSgRv-2Fxng8Pgsa3AZIEYILOhLpQ5ige5VFYTEHVN1pEqnujCHovmTxJkqAK9H-2BIL15-2FPxx97RfHcz7M30YNyqp6TOYfgTxyUHc6lufYKFA75Y7MV6MeDJMxw9-2FYUxR6CEjdoagQBmaGkBVzN
-[UT-2020]: https://www.cs.utexas.edu/~wcook/Courses/386L/Sp2020-GradPL.pdf
-[UW-2019]: https://cs.uwaterloo.ca/~plragde/842/
-[EUSA-2020]: https://www.eusa.ed.ac.uk/representation/campaigns/teachingawards2020/
-
-