It is known that the first-order theory with a single predicate → that denotes one-step rewriting reduction on terms is undecidable already for formulae with ∃∀ prefix. Sev...
Most techniques to automatically disprove termination of term rewrite systems search for a loop. Whereas a loop implies nontermination for full rewriting, this is not necessarily t...
Abstract. We show how polynomial path orders can be employed efficiently in conjunction with weak innermost dependency pairs to automatically certify the polynomial runtime comple...
Abstract. The automated analysis of termination of term rewriting systems (TRSs) has drawn a lot of attention in the scientific community during the last decades and many differe...
We study the derivational complexity induced by the (basic) dependency pair method. Suppose the derivational complexity induced by a termination method is closed under elementary f...