**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 Loaders**

by

**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.

(

**4861**views)

**The Design and Implementation of Probabilistic Programming Languages**

by

**Noah D. Goodman, Andreas Stuhlmüller**-

**dippl.org**

This book explains how to implement PPLs by lightweight embedding into a host language. We illustrate this by designing WebPPL, a small PPL embedded in Javascript. We show how to implement several algorithms for universal probabilistic inference.

(

**1336**views)

**Formal Language Theory for Natural Language Processing**

by

**Shuly Wintner**-

**ESSLLI**

This text is a mild introduction to Formal Language Theory for students with little or no background in formal systems. The motivation is Natural Language Processing, and the presentation is geared towards NLP applications, with extensive examples.

(

**5954**views)

**Lectures on the Curry-Howard Isomorphism**

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.

(

**6352**views)