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  Deciding the Inductive Validity of Forall Exists* Queries

Horbach, M., & Weidenbach, C.(2009). Deciding the Inductive Validity of Forall Exists* Queries (MPI-I-2009-RG1-001).

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-1A51-3 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0027-13A8-4
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decIndQueries_TR.pdf (Any fulltext), 391KB
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 Creators:
Horbach, Matthias1, Author           
Weidenbach, Christoph1, Author           
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1Automation of Logic, MPI for Informatics, Max Planck Society, ou_1116545              

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 Abstract: We present a new saturation-based decidability result for inductive validity. Let $\Sigma$ be a finite signature in which all function symbols are at most unary and let $N$ be a satisfiable Horn clause set without equality in which all positive literals are linear. If $N\cup\{A_1,\ldots,A_n\rightarrow\}$ belongs to a finitely saturating clause class, then it is decidable whether a sentence of the form $\forall\exists^* (A_1\wedge\ldots\wedge A_n)$ is valid in the minimal model of $N$.

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Language(s): eng - English
 Dates: 2010-01-182009
 Publication Status: Issued
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 Identifiers: eDoc: 521099
Other: Local-ID: C125716C0050FB51-F9BA0666A42B8463C12576AF002882D7-Horbach2009TR1
Report Nr.: MPI-I-2009-RG1-001
BibTex Citekey: HorbachWeidenbach2009
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