Lectures on the Curry-Howard Isomorphism
by Morten Heine B. Sorensen, Pawel Urzyczyn
Publisher: Elsevier Science 2006
Number of pages: 273
The Curry-Howard isomorphism states an amazing correspondence between systems of formal logic as encountered in proof theory and computational calculi as found in type theory. 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.
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by Keijo Ruohonen - Tampere University of Technology
In these notes the classical Chomskian formal language theory is fairly fully dealt with, omitting however much of automata constructs and computability issues. Surveys of Lindenmayer system theory and the mathematical theory of codes are given.
by Joey Paquet, Serguei A. Mokhov - arXiv
Lecture notes for the Comparative Studies of Programming Languages course. These notes include a compiled book of primarily related articles from the Wikipedia, as well as Comparative Programming Languages book and other resources.
by David Schmidt - Kansas State University
Denotational semantics is a methodology for giving mathematical meaning to programming languages and systems. This book was written to make denotational semantics accessible to a wider audience and to update existing texts in the area.
by Robert Harper - Carnegie Mellon University
What follows is a working draft of a planned book that seeks to strike a careful balance between developing the theoretical foundations of programming languages and explaining the pragmatic issues involved in their design and implementation.