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 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.
(12788 views)
by Morten Heine B. Sorensen, Pawel Urzyczyn - Elsevier Science
This book give an introduction to parts of proof theory and related aspects of type theory relevant for the Curry-Howard isomorphism. It can serve as an introduction to any or both of typed lambda-calculus and intuitionistic logic.
(10873 views)
- Wikibooks
This book is an attempt to describe a bit of the programming languages zoo. We use each of the particular languages to introduce fundamental notions related to the design and the implementation of general purpose programming languages.
(9069 views)
by Robert Harper - Carnegie Mellon University
This is a book on the foundations of programming languages. The emphasis is on the concept of type, which organizes the computational universe in the same way that the concept of set may be seen as an organizing principle for mathematics.
(16086 views)