TY - RPRT T1 - Using rippling to prove the termination of algorithms T3 - Kaiserslautern ; Saarbrücken : DFKI, 1997 A1 - Hutter,Dieter Y1 - 2011/06/29 N2 - When proving theorems by explicit induction the used induction orderings are synthesized from the recursion orderings underlying the definition principles for functions and predicates. In order to guarantee the soundness of a generated induction scheme the well-foundedness of the used recursion orderings has to be proved. In this paper we present a method to synthesize appropriate measure functions in order to prove the termination of algorithms. We use Walthers' estimation-calculus as a "black-box procedure'; in these explicit proofs. Thus, we inherit both, the flexibility of an explicit representation of the termination proof as well as the in-built knowledge concerning the count ordering. KW - Künstliche Intelligenz CY - Saarbrücken PB - Universitäts- und Landesbibliothek AD - Postfach 151141, 66041 Saarbrücken UR - http://scidok.sulb.uni-saarland.de/volltexte/2011/3820 ER -