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  On Generating Small Clause Normal Forms

Nonnengart, A., Rock, G., & Weidenbach, C. (1998). On Generating Small Clause Normal Forms. In C. Kirchner, & H. Kirchner (Eds.), Proceedings of the 15th International Conference on Automated Deduction (CADE-98) (pp. 397-411). Berlin, Germany: Springer.

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 Creators:
Nonnengart, Andreas1, Author           
Rock, Georg1, Author           
Weidenbach, Christoph1, 2, Author           
Affiliations:
1Programming Logics, MPI for Informatics, Max Planck Society, ou_40045              
2Automation of Logic, MPI for Informatics, Max Planck Society, ou_1116545              

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 Abstract: In this paper we focus on two powerful techniques to obtain compact clause normal forms: Renaming of formulae and refined Skolemization methods. We illustrate their effect on various examples. By an exhaustive experiment of all first-order TPTP problems, it shows that our clause normal form transformation yields fewer clauses and fewer literals than the methods known and used so far. This often allows for exponentially shorter proofs and, in some cases, it makes it even possible for a theorem prover to find a proof where it was unable to do so with more standard clause normal form transformations.

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Language(s): eng - English
 Dates: 2010-03-121998
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 519904
Other: Local-ID: C1256104005ECAFC-F90CA2B7700E75AD412566FD00528EB0-NonnengartRockWeidenbach98
 Degree: -

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Title: Untitled Event
Place of Event: Lindau, Germany
Start-/End Date: 1998

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Title: Proceedings of the 15th International Conference on Automated Deduction (CADE-98)
Source Genre: Proceedings
 Creator(s):
Kirchner, Claude, Editor
Kirchner, Hélène, Editor
Affiliations:
-
Publ. Info: Berlin, Germany : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 397 - 411 Identifier: ISBN: 3-540-64675-2

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Title: Lecture Notes in Artificial Intelligence
Source Genre: Series
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Pages: - Volume / Issue: 1421 Sequence Number: - Start / End Page: - Identifier: -