Speaker: Hans Zantema (OAS, TU/e) Title: Recent developments in proving termination of rewriting automatically Abstract: Several tools have been developed for proving termination of rewriting automatically. Since a few years there is an annual competition comparing the power of various tools. Strong improvements in this area show up. Many techniques can be seen as applications of theorems concluding termination. Typically, several parameters have to be filled in in such a way that a list of requirements is fulfilled. Until around one year ago the main approach was to restrict the search space in a suitable way and elaborate algorithms searching in this space. The last year a completely different approach came up in several tools: describe the requirements on the full search space as a propositional satisfiability problem, and then apply a state of the art SAT solver. In particular remarkable results have been achieved in this way by using matrix interpretations.