Completeness Result of SLDNF-resolution for a relevant Class of Logic Programs

  • The proof theory of logic programming has been given by the SLDNF-resolution which has been proven complete for the class of arbitrary logic programs when assuming fair selection and non-floundering [Drabent96,Staerk97]. To test the non-floundering condition is as hard as to resolve the problem itself. To overcome this assumption we first of all extend the universe to one that contains variables modulo renaming and define the bottom up SLDNF-resolution so that the elimination of this assumption is obvious. We then prove that the so defined SLDNF-resolution is sound and complete for a larger class of logic programs which does obviously contain the classes mentioned above.

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Metadaten
Author:Ebénézer Ntienjem
URN:urn:nbn:de:bvb:384-opus4-2232
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/272
Series (Serial Number):Reports / Technische Berichte der Fakultät für Angewandte Informatik der Universität Augsburg (1997-04)
Type:Report
Language:English
Year of first Publication:1997
Publishing Institution:Universität Augsburg
Release Date:2006/06/23
Tag:Logic Programming; Proof Theory; Model Theory; Semantics; Resolution
GND-Keyword:Beweistheorie; logische Programmierung
Institutes:Fakultät für Angewandte Informatik
Fakultät für Angewandte Informatik / Institut für Informatik
Dewey Decimal Classification:0 Informatik, Informationswissenschaft, allgemeine Werke / 00 Informatik, Wissen, Systeme / 004 Datenverarbeitung; Informatik