TY - JOUR A1 - Möller, Bernhard A1 - Struth, Georg T1 - Greedy-like algorithms in modal Kleene algebra T2 - Lecture Notes in Computer Science N2 - This study provides an algebraic background for the formal derivation of greedy-like algorithms. We propose Kleene algebra as a particularly simple alternative to previous approaches such as relation algebra. Instead of converse and residuation we use modal operators that are definable in a wide class of algebras, based on domain/codomain or image/pre-image operations. By abstracting from earlier approaches we arrive at a very general theorem about the correctness of loops that covers particular forms of greedy algorithms as special cases. Y1 - 2019 UR - https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/59205 UR - https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-592054 SN - 978-3-540-22145-6 VL - 3051 SP - 202 EP - 214 PB - Springer CY - Berlin ER -