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==External links== ===Introductory material=== *[https://ncatlab.org/nlab/show/type+theory Type Theory at nLab], which has articles on many topics. *[https://plato.stanford.edu/entries/type-theory-intuitionistic/ Intuitionistic Type Theory] article at the Stanford Encyclopedia of Philosophy *[https://home.ttic.edu/~dreyer/course/papers/barendregt.pdf Lambda Calculi with Types] book by Henk Barendregt *[https://hbr.github.io/Lambda-Calculus/cc-tex Calculus of Constructions / Typed Lambda Calculus] textbook style paper by Helmut Brandl *[https://archive-pml.github.io/martin-lof/pdfs/Bibliopolis-Book-retypeset-1984.pdf Intuitionistic Type Theory] notes by Per Martin-Löf *[https://www.cse.chalmers.se/research/group/logic/book/book.pdf Programming in Martin-Löf's Type Theory] book *[https://homotopytypetheory.org/book/ Homotopy Type Theory] book, which proposed homotopy type theory as a mathematical foundation. ===Advanced material=== * {{scholarpedia|title=Computational type theory|urlname=Computational_type_theory|curator=Robert L. Constable}} * [http://lists.seas.upenn.edu/mailman/listinfo/types-list The TYPES Forum] — moderated e-mail forum focusing on type theory in computer science, operating since 1987. * [ftp://ftp.cs.cornell.edu/pub/nuprl/doc/book.ps.gz The Nuprl Book]: "Introduction to Type Theory." * [http://www.cs.chalmers.se/Cs/Research/Logic/Types/tutorials.html Types Project lecture notes] of summer schools 2005–2008 ** The [http://www.cs.chalmers.se/Cs/Research/Logic/TypesSS05/program.html 2005 summer school] has introductory lectures *[https://www.cs.uoregon.edu/research/summerschool/archives.html Oregon Programming Languages Summer School], many lectures and some notes. **[https://www.cs.uoregon.edu/research/summerschool/summer12/curriculum.html Summer 2013 lectures] including [https://www.youtube.com/watch?v=9SnefrwBIDc&list=PLGCr8P_YncjXRzdGq2SjKv5F2J8HUFeqN Robert Harper's talks on YouTube] **[https://www.cs.uoregon.edu/research/summerschool/summer15/curriculum.html Summer 2015 Types, Logic, Semantics, and Verification] * [http://math.andrej.com/category/type-theory/ Andrej Bauer's blog] {{Computer science}} {{Mathematical logic}} {{Formal semantics}} {{DEFAULTSORT:Type Theory}} [[Category:Type theory| ]] [[Category:Systems of formal logic]] [[Category:Hierarchy]]
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