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  A Combined Superposition and Model Evolution Calculus

Baumgartner, P., & Waldmann, U. (2011). A Combined Superposition and Model Evolution Calculus. Journal of Automated Reasoning, 47(2), 191-227. doi:10.1007/s10817-010-9214-x.

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 Creators:
Baumgartner, Peter1, Author           
Waldmann, Uwe2, Author                 
Affiliations:
1External Organizations, ou_persistent22              
2Automation of Logic, MPI for Informatics, Max Planck Society, ou_1116545              

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 Abstract: We present a new calculus for first-order theorem proving with equality, ME+Sup, which generalizes both the Superposition calculus and the Model Evolution calculus (with equality) by integrating their inference rules and redundancy criteria in a non-trivial way. The main motivation is to combine the advantageous features of these two rather complementary calculi in a single framework. In particular, Model Evolution, as a lifted version of the propositional DPLL procedure, contributes a non-ground splitting rule that effectively permits to split a clause into \emph{non} variable disjoint subclauses. In the paper we present the calculus in detail. Our main result is its completeness under semantically justified redundancy criteria and simplification rules. We also show how under certain assumptions the model representation computed by a (finite and fair) derivation can be queried in an effective way.

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Language(s): eng - English
 Dates: 2011
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: eDoc: 619011
DOI: 10.1007/s10817-010-9214-x
URI: http://dx.doi.org/10.1007/s10817-010-9214-x
Other: Local-ID: C125716C0050FB51-7A229209F0F88A46C12578410073AE24-BaumgartnerWaldmann2011
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Title: Journal of Automated Reasoning
Source Genre: Journal
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Publ. Info: Dordrecht : Springer
Pages: - Volume / Issue: 47 (2) Sequence Number: - Start / End Page: 191 - 227 Identifier: ISSN: 0168-7433