Categories, Types, and Structures
by Andrea Asperti, Giuseppe Longo
Publisher: MIT Press 1991
Number of pages: 300
The main methodological connection between programming language theory and category theory is the fact that both theories are essentially "theories of functions." A crucial point, though, is that the categorical notion of morphism generalizes the set-theoretical description of function in a very broad sense, which provides a unified understanding of various aspects of the theory of programs. This book is mostly inspired by this specific methodological connection and its applications to the theory of programming languages. More precisely, as expressed by the subtitle, it aims at a self-contained introduction to general category theory (part I) and at a categorical understanding of the mathematical structures that constituted the theoretical background of relevant areas of language design (part II). The impact on functional programming, for example, of the mathematical tools described in part II, is well known, as it ranges from the early dialects of Lisp, to Edinburgh ML, to the current work in polymorphisms and modularity. Other applications, such as CAML, which will be described, use categorical formalization for the purposes of implementation.
Home page url
Download or read it online for free here:
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 Dennie Van Tassel - Gavilan College
This website contains files on the history of computer programming language statements. The files compare programming language statements in several different languages tracing the statement from early languages to present languages.
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 Noah D. Goodman, Andreas Stuhlmüller - dippl.org