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The Efficiency of Theorem Proving Strategies: A Comparative and Asymptotic Analysis (Computational Intelligence)
 
 
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The Efficiency of Theorem Proving Strategies: A Comparative and Asymptotic Analysis (Computational Intelligence) [Paperback]

David A. Plaisted (Author), Yunshan Zhu (Author), Wolfgang Bibel (Series Editor), Rudolf Kruse (Series Editor)

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Book Description

3528155744 978-3528155742 October 28, 1999 2nd
Dieses Buch in englischer Sprache widmet sich dem Thema der Effizienz von Beweisstrategien und bietet eine vergleichende und asymptotische Analyse. Das Werk stellt erstmalig asymptotische Schranken für die Größe der von vielen gebräuchlichen Beweisstrategien erzeugten Suchfelder bereit. Auf diese Weise erlaubt es ein theoretisches Verständnis der Effizienz unterschiedlicher Beweisverfahren. Es wird ein fundamental neues Werkzeug für den Effizienzvergleich von Beweisstrategien bereitgestellt. Die zweite Auflage wurde gegenüber der ersten leicht verbessert, neuere Literaturhinweise zudem berücksichtigt. This book is unique in that it gives asymptotic bounds on the sizes of the search spaces generated by many common theorem proving strategies. Thus it permits one to gain a theoretical unterstanding of the efficiencies of many different theorem proving methods. This is a fundamental new tool in the comparative study of theorem proving strategies.

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Book Description

A Comparative and Asymptotic Analysis

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This book is unique in that it gives asymptotic bounds on the sizes of the search spaces generated by many common theorem proving strategies. Thus it permits one to gain a theoretical unterstanding of the efficiencies of many different theorem proving methods. This is a fundamental tool in the comparative study of theorem proving strategies. The second edition is slightly revised, a few errors have been fixed, and some references to related works have been added.

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Inside This Book (learn more)
First Sentence:
The efficiency of a theorem prover is more directly influenced by the total number of inferences performed before a proof is found than by the size of the final proof. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
linking refutation, binary resolution proof, double exponential number, duplication measure, problem reduction format, unsatisfiable clause sets, proof length measure, duplication complexity, exponential complexity with respect, exponential duplication, propositional satisfiability test, single exponential complexity, linking proofs, clause linking, proof dags, unit simplification, theorem proving strategies, exponential with respect, polynomial behavior, subsumption deletion, double exponential complexity, minimal unsatisfiable, factoring operation, reduction formats, backward chaining methods
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