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doi:10.22028/D291-41420
Titel: | The application of goal-oriented heuristics for proving equational theorems via the unfailing Knuth-Bendix completion procedure. : A case study: lattice ordered groups |
VerfasserIn: | Fuchs, Matthias |
Sprache: | Englisch |
Erscheinungsjahr: | 1994 |
Erscheinungsort: | Kaiserslautern |
DDC-Sachgruppe: | 004 Informatik |
Dokumenttyp: | Forschungsbericht (Report zu Forschungsprojekten) |
Abstract: | In this report we present a case study of employing goal-oriented heuristics when proving equational theorems with the (unfailing) Knuth-Bendix completion procedure. The theorems are taken from the domain of lattice ordered groups. It will be demonstrated that goal-oriented (heuristic) criteria for selecting the next critical pair can in many cases significantly reduce the search effort and hence increase performance of the proving system considerably. The heuristic, goal-oriented criteria are on the one hand based on so-called “measures” measuring occurrences and nesting of function symbols, and on the other hand based on matching subterms. We also deal with the property of goal-oriented heuristics to be particularly helpful in certain stages of a proof. This fact can be addressed by using them in a framework for distributed (equational) theorem proving, namely the “teamwork-method”. |
Link zu diesem Datensatz: | urn:nbn:de:bsz:291--ds-414201 hdl:20.500.11880/37796 http://dx.doi.org/10.22028/D291-41420 |
Schriftenreihe: | SEKI-Report / Deutsches Forschungszentrum für Künstliche Intelligenz, DFKI [ISSN 1437-4447] |
Band: | 94,2 |
Datum des Eintrags: | 5-Jun-2024 |
Fakultät: | SE - Sonstige Einrichtungen |
Fachrichtung: | SE - DFKI Deutsches Forschungszentrum für Künstliche Intelligenz |
Professur: | SE - Sonstige |
Sammlung: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
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