LIPIcs - Leibniz International Proceedings in Informatics. Proceedings of the 21st International Conference on Rewriting Techniques and Applications
Doi
Abstract
We extend first-order order-sorted unification by permitting regular expression sorts for variables and in the domains of function symbols. The set of basic sorts is finite. The obtained signature corresponds to a finite bottom-up hedge automaton. The unification problem in such a theory generalizes some known unification problems. Its unification type is infinitary. We give a complete unification procedure and prove decidability