Logo

Categories, Types, and Structures

Categories, Types, and Structures
by

Publisher: MIT Press
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.

Home page url

Download or read it online for free here:
Download link
(PDF)

Similar books

Book cover: Programming and Programming LanguagesProgramming and Programming Languages
by - Brown University
Many people would regard this as being two books in one. One book is an introduction to programming, teaching you basic concepts of organizing data and the programs that operate over them. The other book is an introduction to programming languages.
(3842 views)
Book cover: Concrete Semantics: With Isabelle/HOLConcrete Semantics: With Isabelle/HOL
by - 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.
(2680 views)
Book cover: Reasoned ProgrammingReasoned Programming
by - 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.
(8456 views)
Book cover: Understanding Programming LanguagesUnderstanding Programming Languages
by - John Wiley & Sons
The book explains what alternatives are available to the language designer, how language constructs should be used for safety and readability, how language constructs are implemented, the role of language in expressing and enforcing abstractions.
(12277 views)