Stratified resolution

Anatoli Degtyarev, Robert Nieuwenhuis, Andrei Voronkov
2003 Journal of symbolic computation  
We introduce a calculus of stratified resolution, in which special attention is paid to clauses that "define" relations. If such clauses are discovered in the initial set of clauses, they are treated using the rule of definition unfolding, i.e. the rule that replaces defined relations by their definitions. Stratified resolution comes with a powerful notion of redundancy: a clause to which definition unfolding has been applied can be removed from the search space. To prove the completeness of
more » ... atified resolution with redundancies, we use a novel combination of Bachmair and Ganzinger's model construction technique and a hierarchical construction of orderings and least fixpoints.
doi:10.1016/s0747-7171(03)00036-1 fatcat:f4pu7wm3jbgi5ov66xzkhya3de