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
![Book cover: Programming Languages: Theory and Practice](images/9403.jpg)
by Robert Harper - Carnegie Mellon University
What follows is a working draft of a planned book that seeks to strike a careful balance between developing the theoretical foundations of programming languages and explaining the pragmatic issues involved in their design and implementation.
(11892 views)
![Book cover: Semantics of Programming Languages](images/8927.jpg)
by Andrew M. Pitts - University of Cambridge
These notes introduce the structural, operational approach to programming language semantics. The course shows how to specify the meaning of some simple programming language constructs and to reason formally about semantic properties of programs.
(9989 views)
![Book cover: Implementing Functional Languages: a tutorial](images/3414.jpg)
by Simon Peyton Jones, David Lester - Prentice Hall
This book gives a practical approach to understanding implementations of non-strict functional languages using lazy graph reduction. It is intended to be a source of practical material, to help make functional-language implementations come alive.
(13782 views)
![Book cover: The Z Notation: A Reference Manual](images/5665.jpg)
by J. M. Spivey - Prentice Hall
The standard Z notation for specifying and designing software has evolved over the best part of a decade. This an informal but rigorous reference manual is written with the everyday needs of readers and writers of Z specifications in mind.
(12307 views)