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Inequalities among sizes of arguments in logic programs are essential for showing termination and safety. “Termination” usually refers to termination of top-down evaluation (as in Prolog), and ‘(safet y“ refers to the property that bottom-up evaluation (using magic sets, for example) generates a finite answer. The approach toward logic programming enunciated by systems such as NAIL! [M*86, M*87] and LDL [NT88, Z88] puts the burden of showing termination and safety on the compiler. Therefore, there is a need to develop algorithms for these problems. Since safety and termination are undecidable for logic programs with function symbols [KiL88, Sh87], one can only hope for algorithms that check sufficient conditions that are strong enough to be practical.

Inference of inequality constraints in logic programs (extended abstracts)