Computer Science – Logic in Computer Science
Scientific paper
2012-01-26
Computer Science
Logic in Computer Science
27 pages, 5 figures, 2 tables
Scientific paper
We consider the problem of existential quantifier elimination for Boolean formulas in Conjunctive Normal Form (CNF). We present a new method for solving this problem called Derivation of Dependency-Sequents (DDS). A Dependency-sequent (D-sequent) is used to record that a set of quantified variables is redundant under a partial assignment. We show that D-sequents can be resolved to obtain new, non-trivial D-sequents. We also show that DDS is compositional, i.e. if our input formula is a conjunction of independent formulas, DDS automatically recognizes and exploits this information. We introduce an algorithm based on DDS and present experimental results demonstrating its potential.
Goldberg Eugene
Manolios Panagiotis
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