Superposition and Model Evolution Combined

We present a new calculus for first-order theorem proving with equality, ME+Sup, which generalizes both the Superposition calculus and the Model Evolution calculus (with equality) by integrating their inference rules and redundancy criteria in a non-trivial way. The main motivation is to combine the advantageous features of both--rather complementary--calculi in a single framework. For instance, Model Evolution, as a lifted version of the propositional DPLL procedure, contributes a non-ground splitting rule that effectively permits to split a clause into non variable disjoint subclauses. In the paper we present the calculus in detail. Our main result is its completeness under semantically justified redundancy criteria and simplification rules.

• Type: Conference
• Year: 2009
• Where: CADE
• Authors: Peter Baumgartner, Uwe Waldmann
• Keywords: Automated Reasoning, CADE 2009, Justified Redundancy Criteria, Model Evolution Calculus, Superposition Calculus