Splitting through New Proposition Symbols

This paper presents ways of simulating splitting through new propositional symbols. The contribution of the paper is that the method presented here does not loose backward redundancy. We give a general method of obtaining a calculus with splitting by adjoining splitting symbols to an arbitrary resolution refinement. We then prove a relative completeness theorem: Every saturated set of clauses of the resolution calculus with adjoined proposition symbols contains a saturated set of the original resolution refinement without adjoined symbols