Termination in modal Kleene algebra

  • Modal Kleene algebras are Kleene algebras with forward and backward modal operators defined via domain and codomain operations. The paper investigates the algebraic structure of modal operators. It studies and compares different notions of termination in this class, including an algebraic correspondence proof of Löb's formula from modal logic. It gives calculational proofs of two fundamental statements from rewriting theory that involve termination: Bachmair's and Dershowitz's well-founded union theorem and Newman's lemma. These results are also of general interest for the termination analysis of programs and state transition systems.

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Author:Jules DesharnaisGND, Bernhard MöllerGND, Georg StruthGND
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/252
Series (Serial Number):Reports / Technische Berichte der Fakultät für Angewandte Informatik der Universität Augsburg (2004-04)
Publisher:Institut für Informatik, Universität Augsburg
Place of publication:Augsburg
Year of first Publication:2004
Publishing Institution:Universität Augsburg
Release Date:2006/06/19
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