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Lightweight relevance filtering for machine-generated resolution problems (2006)

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by Jia Meng , Lawrence C. Paulson
Venue:In ESCoR: Empirically Successful Computerized Reasoning
Citations:25 - 7 self
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BibTeX

@INPROCEEDINGS{Meng06lightweightrelevance,
    author = {Jia Meng and Lawrence C. Paulson},
    title = {Lightweight relevance filtering for machine-generated resolution problems},
    booktitle = {In ESCoR: Empirically Successful Computerized Reasoning},
    year = {2006},
    pages = {53--69}
}

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Abstract

Irrelevant clauses in resolution problems increase the search space, making it hard to find proofs in a reasonable time. Simple relevance filtering methods, based on counting function symbols in clauses, improve the success rate for a variety of automatic theorem provers and with various initial settings. We have designed these techniques as part of a project to link automatic theorem provers to the interactive theorem prover Isabelle. They should be applicable to other situations where the resolution problems are produced mechanically and where completeness is less important than achieving a high success rate with limited processor time. 1

Citations

829 A Machine–oriented Logic Based on the Resolution Principle - Robinson - 1965
368 The inductive approach to verifying cryptographic protocols - Paulson - 1998
131 Resolution theorem proving - Bachmair, Ganzinger - 2007
129 The design and implementation of Vampire - Riazanov, Voronkov
112 The TPTP problem library: CNF release v1.2.1 - Sutcliffe, Suttner - 1998
74 Combining superposition, sorts and splitting - Weidenbach - 2001
70 D.F.: Efficiency and completeness of the set of support strategy in theorem proving - Wos, Robinson, et al. - 1965
44 Relations between secrets: two formal analyses of the Yahalom protocol - Paulson - 2001
35 Vampire 1.1 (system description - Riazanov, Voronkov - 2001
34 A generic tableau prover and its integration with Isabelle - Paulson - 1999
31 1998], Integration of automated and interactive theorem proving - Ahrendt, Beckert, et al.
28 Experiments On Supporting Interactive Proof Using Resolution - Meng - 2004
28 Automation for interactive proof: First prototype - Meng, Quigley, et al. - 2006
28 System description: E 0.81 - Schulz - 2004
24 Generic automatic proof tools - Paulson - 1997
24 G.: Theorem proving in large theories - Reif, Schellhorn - 1998
17 Translating higher-order problems to first-order clauses - Meng, Paulson
10 de Nivelle, H.: Automatic proof construction in type theory using resolution - Bezem, Hendriks - 2011
10 Formalizing O notation in Isabelle/HOL - Avigad, Donnelly - 2004
6 Resolution theorem proving, in A. Robinson and A. Voronkov, eds, `Handbook of Automated Reasoning', Vol - Bachmair, Ganzinger
2 Abstraction-Based Relevancy Testing for Model Elimination - Fuchs, Fuchs - 1999
2 Proving Harder Theorems by Axiom Reduction - Sutcliffe, Dvorsky - 2003
1 and Adnan Yahya. A relevance restriction strategy for automated deduction - Plaisted - 2003
1 Automated Deduction— A Basis for Applications, volume II. Systems and Implementation Techniques - Schmitt - 1998
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