Comparative Studies of Programming Languages
by Joey Paquet, Serguei A. Mokhov
Publisher: arXiv 2010
Number of pages: 66
Lecture notes for the Comparative Studies of Programming Languages course. These notes include a compiled book of primarily related articles from the Wikipedia, the Free Encyclopedia, as well as Comparative Programming Languages book and other resources.
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by Peter Selinger - Dalhousie University
Topics covered in these notes include the untyped lambda calculus, the Church-Rosser theorem, combinatory algebras, the simply-typed lambda calculus, the Curry-Howard isomorphism, weak and strong normalization, type inference, etc.
by Morten Heine B. Sorensen, Pawel Urzyczyn - Elsevier Science
This book give an introduction to parts of proof theory and related aspects of type theory relevant for the Curry-Howard isomorphism. It can serve as an introduction to any or both of typed lambda-calculus and intuitionistic logic.
by Andrew M. Pitts - University of Cambridge
These notes introduce the structural, operational approach to programming language semantics. The course shows how to specify the meaning of some simple programming language constructs and to reason formally about semantic properties of programs.
by Tobias Nipkow, Gerwin Klein - Springer
The book teaches the reader the art of precise logical reasoning and the practical use of a proof assistant as a tool for formal proofs about computer science artefacts. All the mathematics is formalised in Isabelle and much of it is executable.