The ability to use a polynomial iterpretation to prove termination of a rewrite system naturally prompts the question as to what restriction on complexity this imposes. The main r...
A new positive-unit theorem-proving procedure for equational Horn clauses is presented. It uses a term ordering to restrict paxamodulation to potentiallymaximal sides of equations...
We present an efficient procedure for cost-based abduction, which is based on the idea of using chart parsers as proof procedures. We discuss in detail three features of our algor...
The cornerstone of any algorithm computing all repetitions in a string of length n in O(n) time is the fact that the number of runs (or maximal repetitions) is O(n). We give a simp...
This paper presents some fundamental aspects of the design and the implementation of an automated prover for Zermelo-Fraenkel set theory within the well-known Theorema system. The...