TY - RPRT A1 - Desharnais, Jules A1 - Möller, Bernhard A1 - Struth, Georg T1 - Termination in modal Kleene algebra N2 - 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. T3 - Reports / Technische Berichte der Fakultät für Angewandte Informatik der Universität Augsburg - 2004-04 KW - Kleene-Algebra Y1 - 2006 UR - https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/252 UR - https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-2038 PB - Institut für Informatik, Universität Augsburg CY - Augsburg ER -