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  Basic Paramodulation

Bachmair, L., Ganzinger, H., Lynch, C., & Snyder, W. (1995). Basic Paramodulation. Information and Computation, 121(2), 172-192.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0014-ACEC-4 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0014-ACED-2
Genre: Journal Article

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 Creators:
Bachmair, Leo1, Author           
Ganzinger, Harald1, Author           
Lynch, Christopher2, Author           
Snyder, Wayne, 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: We introduce a class of restrictions for the ordered paramodulation and superposition calculi (inspired by the {\em basic\/} strategy for narrowing), in which paramodulation inferences are forbidden at terms introduced by substitutions from previous inference steps. In addition we introduce restrictions based on term selection rules and redex orderings, which are general criteria for delimiting the terms which are available for inferences. These refinements are compatible with standard ordering restrictions and are complete without paramodulation into variables or using functional reflexivity axioms. We prove refutational completeness in the context of deletion rules, such as simplification by rewriting (demodulation) and subsumption, and of techniques for eliminating redundant inferences.

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Language(s): eng - English
 Dates: 2010-03-121995
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: eDoc: 519499
Other: Local-ID: C1256104005ECAFC-3A4F3AB4ACA51EADC125658200764009-Bachmair-et-al-95-ic
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Title: Information and Computation
Source Genre: Journal
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Pages: - Volume / Issue: 121 (2) Sequence Number: - Start / End Page: 172 - 192 Identifier: ISSN: 0890-5401