TY - GEN
A1 - Baumgartner, Peter
A1 - Furbach, Ulrich
A1 - Pelzer, Björn
T1 - Hyper tableaux with equality
N2 - 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.
T3 - Arbeitsberichte, FB Informatik - 2007,12
KW - Equality
KW - Hyper Tableau Calculus
KW - Theorem Proving
Y1 - 2007
UR - https://kola.opus.hbz-nrw.de/frontdoor/index/index/docId/146
UR - https://nbn-resolving.org/urn:nbn:de:kola-1464
ER -