Panagiotis (Pete) Manolios
College of Computer and Information Science
Northeastern University

Quantifier Elimination via Clause Redundancy

Eugene Goldberg and Panagiotis Manolios.
FMCAD, 2013


We consider the problem of existential quantifier elimination for Boolean formulas in conjunctive normal form. Recently we presented a new method for solving this problem based on the machinery of Dependency sequents (D-sequents). The essence of this method is to add to the quantified formula implied clauses until all the clauses with quantified variables become redundant. A D-sequent is a record of the fact that a set of quantified variables is redundant in some subspace. In this paper, we introduce a quantifier elimination algorithm based on a new type of D-sequents called clause D-sequents that express redundancy of clauses rather than variables. Clause D-sequents significantly extend our ability to introduce and algorithmically exploit redundancy, as our experimental results show.

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