Rewriting systems on words are very useful in the study of monoids. In good cases, they give finite presentations of the monoids, allowing their manipulation by a computer. Even b...
Infinitary Term Rewriting allows to express infinitary terms and infinitary reductions that converge to them. As their notion of transfinite reduction in general, and as binary...
Matrix interpretations can be used to bound the derivational complexity of rewrite systems. We present a criterion that completely characterizes matrix interpretations that are pol...
In usual proof systems, like the sequent calculus, only a very limited way of combining proofs is available through the tree structure. We present in this paper a logicindependent ...
In earlier work, we have shown that for confluent term rewrite systems (TRSs for short), innermost polynomial runtime complexity induces polytime computability of the functions de...
Data words and data trees appear in verification and XML processing. The term “data” means that positions of the word, or tree, are decorated with elements of an infinite set...
We revisit (un)soundness of transformations of conditional into unconditional rewrite systems. The focus here is on so-called unravelings, the most simple and natural kind of such ...
Karl Gmeiner, Bernhard Gramlich, Felix Schernhamme...
This paper shows the equivalence of applicative similarity and contextual approximation, and hence also of bisimilarity and contextual equivalence, in the deterministic call-by-nee...
We describe performance enhancements that have been added to mkbTT, a modern completion tool combining multi-completion with the use of termination tools.
Sarah Winkler, Haruhiko Sato, Aart Middeldorp, Mas...
For a general class of infinite data structures including streams, binary trees, and the combination of finite and infinite lists, we investigate a notion of productivity. This ...