Computer Science > Logic in Computer Science
[Submitted on 1 Mar 2020 (v1), last revised 4 Mar 2020 (this version, v2)]
Title:Solving Satisfiability of Polynomial Formulas By Sample-Cell Projection
View PDFAbstract:A new algorithm for deciding the satisfiability of polynomial formulas over the reals is proposed. The key point of the algorithm is a new projection operator, called sample-cell projection operator, custom-made for Conflict-Driven Clause Learning (CDCL)-style search. Although the new operator is also a CAD (Cylindrical Algebraic Decomposition)-like projection operator which computes the cell (not necessarily cylindrical) containing a given sample such that each polynomial from the problem is sign-invariant on the cell, it is of singly exponential time complexity. The sample-cell projection operator can efficiently guide CDCL-style search away from conflicting states. Experiments show the effectiveness of the new algorithm.
Submission history
From: Haokun Li [view email][v1] Sun, 1 Mar 2020 05:36:09 UTC (27 KB)
[v2] Wed, 4 Mar 2020 03:01:35 UTC (27 KB)
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