Hyper tableaux with equality
- 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.
| Author: | Peter Baumgartner, Ulrich Furbach, Björn Pelzer |
|---|---|
| URN: | urn:nbn:de:kola-1464 |
| Series (Serial Number): | Arbeitsberichte, FB Informatik (2007,12) |
| Document Type: | Part of Periodical |
| Language: | English |
| Date of Publication (online): | 2007/09/20 |
| Date of first Publication: | 2007/09/20 |
| Publishing Institution: | Universität Koblenz-Landau, Campus Koblenz, Universitätsbibliothek |
| Release Date: | 2007/09/20 |
| Tag: | Equality; Hyper Tableau Calculus; Theorem Proving |
| Page Number: | 29 |
| Institutes: | Fachbereich 4 / Institut für Informatik |
| Dewey Decimal Classification: | 0 Informatik, Informationswissenschaft, allgemeine Werke / 00 Informatik, Wissen, Systeme / 004 Datenverarbeitung; Informatik |
| Licence (German): | Es gilt das deutsche Urheberrecht: § 53 UrhG |

