POP~* and Semantic Labeling Using SAT*

摘要

The polynomial path order (POP* for short) is a termination method that induces polynomial bounds on the innermost runtime complexity of term rewrite systems (TRSs for short). Semantic labeling is a transformation technique used for proving termination. In this paper, we propose an efficient implementation of POP* together with finite semantic labeling. This automation works by a reduction to the problem of boolean satisfiability. We have implemented the technique and experimental results confirm the feasibility of our approach. By semantic labeling the analytical power of POP~* is significantly increased.