Termination proofs for logic programs

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Termination proofs for logic programs

Lutz Plümer

(Lecture notes in computer science, 446 . Lecture notes in artificial intelligence)

Springer-Verlag, c1990

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Includes bibliographical references and index

Description and Table of Contents

Description

Termination proofs constitute a crucial part of program verification. Much research about termination has been done in the context of term rewriting systems. But until now there was little hope that termination proofs for nontrivial programs could be achieved automatically. This book gives a comprehensive discussion of the termination problem in the context of logic programming. Although logic programs pose special difficulties for termination proofs it turns out that automation of this task is obtainable to a much larger degree than for programs in imperative languages. A technique for the automatic derivation of termination proofs is presented in detail. The discussion of several nontrivial examples illustrates its range of applicability. The approach is based on the concept of declarative semantics, and thus makes use of an important feature of logic programming.

Table of Contents

Basic notions.- Static program properties and transformations.- Terminating logic programs.- The problem of local variables.- And/or dataflow graphs.- A termination proof procedure.- Integration of unfolding techniques.- Conclusions.

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