Verification Of Partial Quantifier Elimination

Eugene Goldberg

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arXiv · 2303.14928

Verification Of Partial Quantifier Elimination

Eugene Goldberg

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Abstract

Quantifier elimination (QE) is an important problem that has numerous applications. Unfortunately, QE is computationally very hard. Earlier we introduced a generalization of QE called $\mathit{partial}$ QE (or PQE for short). PQE allows to unquantify a $\mathit{part}$ of the formula. The appeal of PQE is twofold. First, many important problems can be solved in terms of PQE. Second, PQE can be drastically faster than QE if only a small part of the formula gets unquantified. To make PQE practical, one needs an algorithm for verifying the solution produced by a PQE solver. In this paper, we describe a very simple SAT-based verifier called $\mathit{VerPQE}$ and provide some experimental results.

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Eugene Goldberg. 2023-03-27. Verification Of Partial Quantifier Elimination. https://arxiv.org/abs/2303.14928

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