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  Modular Proof Systems for Partial Functions with Weak Equality

Ganzinger, H., Sofronie-Stokkermans, V., & Waldmann, U. (2004). Modular Proof Systems for Partial Functions with Weak Equality. In Automated reasoning: Second International Joint Conference, IJCAR 2004 (pp. 168-182). Berlin: Springer.

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 Urheber:
Ganzinger, Harald1, Autor           
Sofronie-Stokkermans, Viorica1, 2, Autor           
Waldmann, Uwe1, 2, Autor           
Basin, David1, Herausgeber           
Rusinowitch, Michael3, Herausgeber
Affiliations:
1Programming Logics, MPI for Informatics, Max Planck Society, ou_40045              
2Automation of Logic, MPI for Informatics, Max Planck Society, ou_1116545              
3Max Planck Society, ou_persistent13              

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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: 2005-02-022004
 Publikationsstatus: Erschienen
 Seiten: -
 Ort, Verlag, Ausgabe: -
 Inhaltsverzeichnis: -
 Art der Begutachtung: -
 Identifikatoren: eDoc: 231253
Anderer: Local-ID: C1256104005ECAFC-827C5504FD548DB8C1256EAC0033F34D-Ganzinger-SofronieStokkermans-Waldmann-ijcar-2004
 Art des Abschluß: -

Veranstaltung

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Titel: Untitled Event
Veranstaltungsort: Cork, Ireland
Start-/Enddatum: 2004-07-04

Entscheidung

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Quelle 1

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Titel: Automated reasoning : Second International Joint Conference, IJCAR 2004
Genre der Quelle: Konferenzband
 Urheber:
Affiliations:
Ort, Verlag, Ausgabe: Berlin : Springer
Seiten: - Band / Heft: - Artikelnummer: - Start- / Endseite: 168 - 182 Identifikator: ISBN: 3-540-22345-2

Quelle 2

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Titel: Lecture Notes in Artificial Intelligence
Genre der Quelle: Reihe
 Urheber:
Affiliations:
Ort, Verlag, Ausgabe: -
Seiten: - Band / Heft: 3097 Artikelnummer: - Start- / Endseite: - Identifikator: -