Foundations of Equational Logic Programming by Steffen HölldoblerFoundations of Equational Logic Programming by Steffen Hölldobler

Foundations of Equational Logic Programming

bySteffen Hölldobler

Paperback | October 11, 1989

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Equations play a vital role in many fields of mathematics, computer science, and artificial intelligence. Therefore, many proposals have been made to integrate equational, functional, and logic programming. This book presents the foundations of equational logic programming. After generalizing logic programming by augmenting programs with a conditional equational theory, the author defines a unifying framework for logic programming, equation solving, universal unification, and term rewriting. Within this framework many known results are developed. In particular, a presentation of the least model and the fixpoint semantics of equational logic programs is followed by a rigorous proof of the soundness and the strong completeness of various proof techniques: SLDE-resolution, where a universal unification procedure replaces the traditional unification algorithm; linear paramodulation and special forms of it such as rewriting and narrowing; complete sets of transformations for conditional equational theories; and lazy resolution combined with any complete set of inference rules for conditional equational theories.
Title:Foundations of Equational Logic ProgrammingFormat:PaperbackDimensions:268 pagesPublished:October 11, 1989Publisher:Springer Berlin HeidelbergLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:354051533X

ISBN - 13:9783540515333

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Table of Contents

Preliminaries.- Equational Logic Programming.- Universal Unification.- SLDE-Resolution.- Paramodulation.- Universal Unification by Complete Sets of Transformations.- Lazy Resolution and Complete Sets of Inference Rules for Horn Equational Theories.- Conclusion.