Computational Category Theory
by D.E. Rydeheard, R.M. Burstall
Number of pages: 263
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.
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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.
by Gary Hardegree - UMass Amherst
Contents: Basic Categorial Syntax; Shortcomings of Standard Categorial Syntax; Expanded Categorial Syntax; Examples of Expanded Categorial Syntax; Categorial Logic; Basic Categorial Semantics; Lambda-Abstraction; Expanded Categorial Semantics; etc.
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.
by Mira Balaban - Ben-Gurion University of the Negev
This course is about building computational processes. We need computational processes for computing functions. The means for performing computational processes are programs. The emphasis is on programming languages and their properties.