Termination of ground non-symmetric Knuth-Bendix completion

  • In the most natural approach, ground Knuth-Bendix completion procedures for non-symmetric transitive relations and quasiorderings, as specified in [16], need not terminate. We use a two-step transformation on the input expressions to enforce termination after O(n) steps in the size of the input. We apply the completion procedure for developing rule-based declarative and dynamic algorithms for detecting embeddings in ground rewrite sequences. These results are interesting for the constraint-based analysis of state transition systems, for partial evaluation and for the reachability and termination analysis of ground term rewrite systems.

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Metadaten
Author:Georg StruthGND
URN:urn:nbn:de:bvb:384-opus4-1803
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/229
Series (Serial Number):Reports / Technische Berichte der Fakultät für Angewandte Informatik der Universität Augsburg (2002-09)
Publisher:Institut für Informatik, Universität Augsburg
Place of publication:Augsburg
Type:Report
Language:English
Year of first Publication:2002
Publishing Institution:Universität Augsburg
Release Date:2006/06/13
Tag:Knuth-Bendix completion; transitive relations; quasiorderings; reachability; termination; homeomorphic embedding
Institutes:Fakultät für Angewandte Informatik
Fakultät für Angewandte Informatik / Institut für Informatik
Fakultät für Angewandte Informatik / Institut für Informatik / Professur für Programmiermethodik und Multimediale Informationssysteme
Dewey Decimal Classification:0 Informatik, Informationswissenschaft, allgemeine Werke / 00 Informatik, Wissen, Systeme / 004 Datenverarbeitung; Informatik