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  Modular Proof Systems for Partial Functions with Evans Equality

Ganzinger, H., Sofronie-Stokkermans, V., & Waldmann, U. (2006). Modular Proof Systems for Partial Functions with Evans Equality. Information and Computation, 204(10), 1453-1492.

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Datensatz-Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-24D8-6 Versions-Permalink: https://hdl.handle.net/21.11116/0000-000E-3452-B
Genre: Zeitschriftenartikel

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 Urheber:
Ganzinger, Harald1, Autor           
Sofronie-Stokkermans, Viorica1, 2, Autor           
Waldmann, Uwe1, 2, Autor                 
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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Schlagwörter: -
 Zusammenfassung: The paper presents a modular superposition calculus for the combination of first-order theories involving both total and partial functions. Modularity means that inferences are pure, only involving clauses over the alphabet of either one, but not both, of the theories. The calculus is shown to be complete provided that functions that are not in the intersection of the component signatures are declared as partial. This result also means that if the unsatisfiability of a goal modulo the combined theory does not depend on the totality of the functions in the extensions, the inconsistency will be effectively found. Moreover, we consider a constraint superposition calculus for the case of hierarchical theories and show that it has a related modularity property. Finally we identify cases where the partial models can always be made total so that modular superposition is also complete with respect to the standard (total function) semantics of the theories.

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Sprache(n): eng - English
 Datum: 2007-03-062006
 Publikationsstatus: Erschienen
 Seiten: -
 Ort, Verlag, Ausgabe: -
 Inhaltsverzeichnis: -
 Art der Begutachtung: Expertenbegutachtung
 Identifikatoren: eDoc: 521688
Anderer: Local-ID: C125716C0050FB51-18F574B8E21550C7C125721F003B2847-GSW-i-and-c
 Art des Abschluß: -

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Titel: Information and Computation
Genre der Quelle: Zeitschrift
 Urheber:
Affiliations:
Ort, Verlag, Ausgabe: -
Seiten: - Band / Heft: 204 (10) Artikelnummer: - Start- / Endseite: 1453 - 1492 Identifikator: ISSN: 0890-5401