The Resolution Calculus (EATCS Monographs in Theoretical Computer Science) - Hardcover

Buch 4 von 45: Texts in Theoretical Computer Science. An EATCS

Leitsch, Alexander

 
9783540618829: The Resolution Calculus (EATCS Monographs in Theoretical Computer Science)
Hardcover
ISBN 10: 3540618821 ISBN 13: 9783540618829
Verlag: Springer Verlag, 1997

Inhaltsangabe

This is a completely new presentation of resolution as a logical calculus and as a basis for computational algorithms and decision procedures. The first part deals with the traditional topics (Herbrand's theorem, completeness of resolution, refinements and deletion) but with many new features and concepts like normalization of clauses, resolution operators and search complexity. The second part gives a systematic treatment of recent research topics. It is shown how resolution decision procedures can be applied to solve the decision problem for some important first-order classes. The complexity of resolution is analyzed in terms of Herbrand complexity, new concepts are used to classify the complexity of refinements, and functional extension is introduced with resolution to give a strong calculus.

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This is a completely new presentation of resolution as a logical calculus and as a basis for computational algorithms and decision procedures.
The first part deals with the traditional topics (Herbrand's theorem, completeness of resolution, refinements and deletion) but with many new features and concepts like normalization of clauses, resolution operators, and search complexity.
Building on this foundation, the second part gives a systematic treatment of recent research topics. It is shown howresolution decision procedures can be applied to solve the decision problem for some important first-order classes. Thecomplexity of resolution is analyzed in terms of Herbrand complexity, and new concepts like ground projection are used to classify the complexity of refinements. Finally, the method of functional extension is introduced; combined with resolution it gives a computational calculus which is stronger than most others.

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Verlag
Springer Verlag
Erscheinungsdatum
1997
Sprache
Englisch
ISBN 10 
3540618821
ISBN 13 
9783540618829
Einband
Tapa dura
Anzahl der Seiten
308
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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9783642644733: The Resolution Calculus (Texts in Theoretical Computer Science. An EATCS Series)

Vorgestellte Ausgabe

ISBN 10:  3642644732 ISBN 13:  9783642644733
Verlag: Springer, 2011
Softcover