# Algebraic and Coalgebraic Methods in the Mathematics of Program Construction

*Roland Backhouse‚ Roy Crole and Jeremy Gibbons*

### Abstract

Program construction is about turning specifications of computer software into implementations. Doing so in a way that guarantees correctness is an undertaking requiring deep understanding of the languages and tools being used, as well as of the application domain. Recent research aimed at improving the process of program construction exploits insights from abstract algebraic tools such as lattice theory, fixpoint calculus, universal algebra, category theory and allegory theory. This book provides an introduction to these mathematical theories and how they are applied to practical problems.

Book Title

Algebraic and Coalgebraic Methods in the Mathematics of Program Construction

Editor

Roland Backhouse and Roy Crole and Jeremy Gibbons

ISBN

3540436138

ISSN

0302−9743

Publisher

Springer−Verlag

Series

Lecture Notes in Computer Science

Volume

2297

Year

2002