Foundations of Equational Logic Programming (Lecture Notes in Computer Science, 353)

Hölldobler, Steffen

ISBN 10: 354051533X / ISBN 13: 9783540515333

Editore: Springer, 1989

In. Codice articolo ria9783540515333_new

Riassunto:

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.

Contenuti: 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.

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Titolo: Foundations of Equational Logic Programming ...
Casa editrice: Springer
Data di pubblicazione: 1989
Legatura: Brossura
Condizione: New