CW 277

S. Verbaeten and D. De Schreye
Termination Analysis of Tabled Logic Programs Using Mode and Type Information

Abstract

Tabled logic programming is receiving increasing attention in our community. It avoids many of the shortcomings of SLD(NF) execution and provides a more flexible and often extremely efficient execution mechanism for logic programs. In particular, tabled execution of logic programs terminates more often than execution based on SLD-resolution. So, if a program can be proven to terminate under SLD-resolution, then the program will trivially also terminate under SLG-resolution, the resolution principle of tabulation. But, since there are SLG-terminating programs which are not SLD-terminating, better proof techniques can be found. One of the few approaches studying termination of tabled logic programs was developed by Decorte et al. They present necessary and sufficient conditions for two notions of termination under LG-resolution, i.e. SLG-resolution with left-to-right selection rule: quasi-termination and (the stronger notion of) LG-termination. Starting from these necessary and sufficient conditions, we introduce sufficient conditions for quasi-termination and LG-termination which reason fully at the clause level and are easy to automatize. To this end, we use mode and type information: we consider simply moded, well-moded/well-typed programs and queries. We point out how our termination conditions can be automatized, by extending the recently developed constraint-based automatic termination analysis for SLD-resolution by Decorte and De Schreye.

report.pdf / mailto: S. Verbaeten