Foundations of equational logic programming

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...

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Autore principale: Hölldobler, Steffen, 1957-
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serie:Lecture notes in computer science. Lecture notes in artificial intelligence 353
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Edition sous un autre format:• Foundations of equational logic programming, Steffen Hölldobler, 1989, Berlin, Springer-Verlag, 1 vol. (X-250 p.), Lecture notes in computer science, 3-540-51533-X
• Foundations of Equational Logic Programming, Texte imprimé, 9783662162132
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245 1 0 |a Foundations of equational logic programming   |c Steffen Hölldobler. 
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505 0 |a 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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520 |a 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. 
650 |a Informatique 
650 |a Langages de programmation 
650 |a Intelligence artificielle 
650 |a Logique symbolique et mathématique 
650 |a Programmation logique 
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