Termination Analysis with Dependency Pairs using Inductive Theorem Proving

Titel: Termination Analysis with Dependency Pairs using Inductive Theorem Proving.

 

Abstract: Current techniques and tools for automated termination analysis of term rewrite systems

(TRSs) are already very powerful. However, they fail for algorithms whose termination is essentially due to an inductive argument. Therefore, we show how to couple the dependency pair method for TRS termination with inductive theorem proving. As confirmed by the implementation of our new approach in the tool AProVE, now TRS termination techniques are also successful on this important class of algorithms.