Programming in Martin-Lof’s Type Theory: An Introduction

• Category: Computer
• Author: Bengt Nordstrom (Author), Kent Petersson (Author), Jan M. Smith (Author)
• Pages: : 232 pages
• File type: : PDF and Postscript

Read and download free eBook intituled Programming in Martin-Lof’s Type Theory: An Introduction in format : PDF and Postscript – : 232 pages created by Bengt Nordstrom (Author), Kent Petersson (Author), Jan M. Smith (Author).

In recent years, several formalisms for program construction have appeared. One such formalism is the type theory developed by Per Martin-Lof. Well suited as a theory for program construction, it makes possible the expression of both specifications and programs within the same formalism. Furthermore, the proof rules can be used to derive a correct program from a specification as well as to verify that a given program has a certain property.

This book contains a thorough introduction to type theory, with information on polymorphic sets, subsets, monomorphic sets, and a full set of helpful examples.

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Programming in Martin-Lof’s Type Theory: An Introduction