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
Categories, Types, and Structuresby Andrea Asperti, Giuseppe Longo - MIT Press
Here is an introduction to category theory for the working computer scientist. It is a self-contained introduction to general category theory and the mathematical structures that constitute the theoretical background.
(13607 views)
Lecture Notes on the Lambda Calculusby Peter Selinger - Dalhousie University
Topics covered in these notes include the untyped lambda calculus, the Church-Rosser theorem, combinatory algebras, the simply-typed lambda calculus, the Curry-Howard isomorphism, weak and strong normalization, type inference, etc.
(7478 views)
Dictionary of Programming Languagesby Neal Ziring
The Dictionary of Programming Languages is an online compendium of computer coding methods assembled to provide information and aid your appreciation for computer science history. The dictionary currently has over 120 entries.
(9208 views)
Denotational Semantics: A Methodology for Language Developmentby 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.
(7712 views)