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  Decidability Results for Saturation-Based Model Building

Horbach, M., & Weidenbach, C. (2009). Decidability Results for Saturation-Based Model Building. In R. Schmidt (Ed.), 22nd International Conference on Automated Deduction (CADE-22) (pp. 404-420). Heidelberg: Springer.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-1A4E-D Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0024-BB85-C
Genre: Conference Paper

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 Creators:
Horbach, Matthias1, Author           
Weidenbach, Christoph1, Author           
Affiliations:
1Automation of Logic, MPI for Informatics, Max Planck Society, ou_1116545              

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 Abstract: Saturation-based calculi such as superposition can be successfully instantiated to decision procedures for many decidable fragments of first-order logic. In case of termination without generating an empty clause, a saturated clause set implicitly represents a minimal model for all clauses, based on the underlying term ordering of the superposition calculus. In general, it is not decidable whether a ground atom, a clause or even a formula holds in this minimal model of a satisfiable saturated clause set. We extend our superposition calculus for fixed domains with syntactic disequality constraints in a non-equational setting. Based on this calculus, we present several new decidability results for validity in the minimal model of a satisfiable finitely saturated clause set that in particular extend the decidability results known for ARM (Atomic Representations of term Models) and DIG (Disjunctions of Implicit Generalizations) model representations.

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Language(s): eng - English
 Dates: 2009-10-232009
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 521087
Other: Local-ID: C125716C0050FB51-960E286C41E4B7F4C12575A20036CB2F-HorbachWeidenbach2009CADE
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Title: Untitled Event
Place of Event: Montreal, Canada
Start-/End Date: 2009-08-02 - 2009-08-07

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Title: 22nd International Conference on Automated Deduction (CADE-22)
Source Genre: Proceedings
 Creator(s):
Schmidt, Renate, Editor
Affiliations:
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Publ. Info: Heidelberg : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 404 - 420 Identifier: -

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Title: Lecture Notes in Computer Science
Source Genre: Series
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