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
Linkers and Loadersby John R. Levine - Morgan Kaufmann
The author presents clear practical advice to help you create faster, cleaner code. You'll learn to avoid the pitfalls associated with Windows DLLs, take advantage of the performance-improving techniques supported by many modern linkers, etc.
(10924 views)
Semantics With Applications: A Formal Introductionby Hanne Riis Nielson, Flemming Nielson - John Wiley & Sons
The book covers the foundations of structural operational semantics and natural semantics. It shows how to describe the semantics of declarative as well as imperative language constructs and will also touch upon non-sequential constructs.
(11906 views)
Exploring Programming Language Architecture in Perlby 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.
(14343 views)
Elements of Programmingby Alexander Stepanov, Paul McJones - Semigroup Press
This book applies the deductive method to programming by affiliating programs with the abstract mathematical theories. Specification of these theories, algorithms and theorems and lemmas describing their properties are presented together.
(3955 views)