Computational Category Theory
by D.E. Rydeheard, R.M. Burstall
2001
Number of pages: 263
Description:
This book is an account of a project in which basic constructions of category theory are expressed as computer programs. The programs are written in a functional programming language, called ML, and have been executed on examples. The authors have used these programs to develop algorithms for the unification of terms and to implement a categorical semantics. In general, this book is a bridge-building exercise between category theory and computer programming. These efforts are a first attempt at connecting the abstract mathematics with concrete programs, whereas others have applied categorical ideas to the theory of computation.
Download or read it online for free here:
Download link
(0.9MB, PDF)
Similar books

by Jean Gallier, Andrew Hicks - University of Pennsylvania
From the table of contents: Automata; Formal Languages (A Grammar for Parsing English, Context-Free Grammars, Derivations and Context-Free Languages, Normal Forms for Context-Free Grammars, Chomsky Normal Form, ...); Computability; Current Topics.
(5387 views)

by Muhammad Tanvir Afzal (ed.) - InTech
The book is a blend of a number of great ideas, theories, mathematical models, and practical systems in the domain of Semantics. Topics include: Background; Queries, Predicates, and Semantic Cache; Algorithms and Logic Programming; etc.
(6619 views)

by Shriram Krishnamurthi - Lulu.com
The textbook for a programming languages course, taken primarily by advanced undergraduate and beginning graduate students. This book assumes that students have modest mathematical maturity, and are familiar with the existence of the Halting Problem.
(9810 views)

by Bill Hails
This book presents an informal and friendly introduction to some of the core ideas in modern computer science, using the programming language Perl as its vehicle. The book takes the form of a series of working interpreters for the language PScheme.
(12702 views)