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Medientyp:
E-Artikel
Titel:
Hyper tableaux with equality
Beteiligte:
Baumgartner, Peter
[VerfasserIn];
Furbach, Ulrich
[VerfasserIn];
Pelzer, Björn
[VerfasserIn]
Erschienen:
University of Koblenz-Landau: Publication Server, 2007-09-20
Sprache:
Englisch
Entstehung:
Anmerkungen:
Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen.
Beschreibung:
In most theorem proving applications, a proper treatment of equational theories or equality is mandatory. In this paper we show how to integrate a modern treatment of equality in the hyper tableau calculus. It is based on splitting of positive clauses and an adapted version of the superposition inference rule, where equations used for paramodulation are drawn (only) from a set of positive unit clauses, the candidate model. The calculus also features a generic, semantically justified simplification rule which covers many redundancy elimination techniques known from superposition theorem proving. Our main results are soundness and completeness, but we briefly describe the implementation, too.