9783540618829: The Resolution Calculus

Synopsis

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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Présentation de l'éditeur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9783642644733: The Resolution Calculus

Edition présentée

ISBN 10 :  3642644732 ISBN 13 :  9783642644733
Editeur : Springer, 2011
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