Lecture Notes in Computer Science vol:3668 pages:311-325
Twenty First International Conference on Logic Programming location:Sitges (Barcelona), Spain date:October 2-5, 2005
This paper introduces a new technique for termination analysis of definite logic programs based on polynomial interpretations. The principle of this technique is to map each function and predicate symbol to a polynomial over some domain of natural numbers, like it has been done in proving termination of term rewriting systems. Such polynomial interpretations can be seen as a direct generalisation of the traditional techniques in termination analysis of LPs, where (semi-) linear norms and level mappings are used. Our extension generalises these to arbitrary polynomials. We extend a number of standard concepts and results on termination analysis to the context of polynomial interpretations. We propose a constraint based approach for automatically generating polynomial interpretations that satisfy termination conditions.