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 -