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Titel: Presentation of Proofs in an Equational Calculus
VerfasserIn: Lingenfelder, Christoph
Präcklein, Axel
Sprache: Englisch
Erscheinungsjahr: 1990
Erscheinungsort: Kaiserslautern
DDC-Sachgruppe: 004 Informatik
Dokumenttyp: Forschungsbericht (Report zu Forschungsprojekten)
Abstract: One of the main reasons why computer generated proofs are not widely accepted is often their complexity and incomprehensibility. Especially proofs of mathematical theorems with equations are normally presented in an inadequate and not intuitive way. Often completion and rewrite proofs are only given in the form of a program trace. This is even more of a problem for the presentation of inferences drawn by automated reasoning components in other AI systems. For first order logic, proof transformation procedures have been designed in order to structure proofs and state them in a formalism that is more familiar to human mathematicians. In this report we present a method to handle equational proofs in such systems. To this end equation solution graphs are introduced to represent paramodulation or rewrite proofs. In the process of transforming these proofs into proofs with equation chains, the inherent structure can also be extracted by exploiting topological properties similar to those of refutation graphs in the pure first order case.
Link zu diesem Datensatz: urn:nbn:de:bsz:291--ds-402663
hdl:20.500.11880/36224
http://dx.doi.org/10.22028/D291-40266
Schriftenreihe: SEKI-Report / Deutsches Forschungszentrum für Künstliche Intelligenz, DFKI [ISSN 1437-4447]
Band: 90,15
Datum des Eintrags: 11-Aug-2023
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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