Categories, Types, and Structures
by Andrea Asperti, Giuseppe Longo
Publisher: MIT Press 1991
ISBN/ASIN: 0262011255
ISBN-13: 9780262011259
Number of pages: 300
Description:
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.
Download or read it online for free here:
Download link
(PDF)
Similar books
The Design and Implementation of Probabilistic Programming Languagesby Noah D. Goodman, Andreas Stuhlmüller - dippl.org
This book explains how to implement PPLs by lightweight embedding into a host language. We illustrate this by designing WebPPL, a small PPL embedded in Javascript. We show how to implement several algorithms for universal probabilistic inference.
(2400 views)
Reasoned Programmingby Krysia Broda et al - Prentice Hall Trade
The text for advanced undergraduate/graduate students of computer science. It introduces functional, imperative and logic programming and explains how to do it correctly. Functional programming is presented as a programming language in its own right.
(8888 views)
Linkers and Loadersby John R. Levine - Morgan Kaufmann
The author presents clear practical advice to help you create faster, cleaner code. You'll learn to avoid the pitfalls associated with Windows DLLs, take advantage of the performance-improving techniques supported by many modern linkers, etc.
(7111 views)
Concrete Semantics: With Isabelle/HOLby 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.
(3042 views)