The following technical report is available from http://aib.informatik.rwth-aachen.de:

Better termination proving through cooperation Marc Brockschmidt, Byron Cook, and Carsten Fuhs AIB 2013-06

One of the difficulties of proving program termination is managing the subtle interplay between the finding of a termination argument and the finding of the argument's supporting invariant. In this paper we propose a new mechanism that facilitates better cooperation between these two types of reasoning. In an experimental evaluation we find that our new method leads to dramatic performance improvements.