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doi:10.22028/D291-40264
Titel: | Proof Transformation with Built-in Equality Predicate |
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. 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 generalize these approaches, so that proofs involving equational reasoning can also be handled. To this end extended refutation graphs are introduced to represent combined resolution and paramodulation proofs. In the process of transforming these proofs into natural deduction proofs with equality, the inherent structure can also be extracted by exploiting topological properties of refutation graphs. |
Link zu diesem Datensatz: | urn:nbn:de:bsz:291--ds-402641 hdl:20.500.11880/36270 http://dx.doi.org/10.22028/D291-40264 |
Schriftenreihe: | SEKI-Report / Deutsches Forschungszentrum für Künstliche Intelligenz, DFKI [ISSN 1437-4447] |
Band: | 90,13 |
Datum des Eintrags: | 14-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 |
Dateien zu diesem Datensatz:
Datei | Beschreibung | Größe | Format | |
---|---|---|---|---|
SEKI-Report-SR-90-13_Lingenfelder-Präcklein_Proof-Transformation-with-Built=in-Equality-Predicate.pdf | 2,05 MB | Adobe PDF | Öffnen/Anzeigen |
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