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Foundations of Equational Logic Programming
Taschenbuch von Steffen Hölldobler
Sprache: Englisch

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Beschreibung
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.
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.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 1989
Genre: Informatik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Lecture Notes in Artificial Intelligence
Inhalt: xii
256 S.
ISBN-13: 9783540515333
ISBN-10: 354051533X
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Hölldobler, Steffen
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Lecture Notes in Artificial Intelligence
Maße: 235 x 155 x 15 mm
Von/Mit: Steffen Hölldobler
Erscheinungsdatum: 11.10.1989
Gewicht: 0,406 kg
Artikel-ID: 102142401
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 1989
Genre: Informatik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Lecture Notes in Artificial Intelligence
Inhalt: xii
256 S.
ISBN-13: 9783540515333
ISBN-10: 354051533X
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Hölldobler, Steffen
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Lecture Notes in Artificial Intelligence
Maße: 235 x 155 x 15 mm
Von/Mit: Steffen Hölldobler
Erscheinungsdatum: 11.10.1989
Gewicht: 0,406 kg
Artikel-ID: 102142401
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