Wrapping Computer Algebra is Surprisingly Successful for Non-Linear SMT

Pascal Fontaine 1, 2, 3, 4 Mizuhito Ogawa 5 Thomas Sturm 2, 4, 3 Van Khanh To 6 Xuan Tung Vu 5
1 UL - Université de Lorraine
2 VERIDIS - Modeling and Verification of Distributed Algorithms and Systems
LORIA - FM - Department of Formal Methods , Inria Nancy - Grand Est, MPII - Max-Planck-Institut für Informatik
3 LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
4 CNRS - Centre National de la Recherche Scientifique
5 JAIST - Japan Advanced Institute of Science and Technology
6 VNU - Vietnam National University [Hanoï]
Abstract : We report on a prototypical tool for Satisfiability Modulo Theory solving for quantifier-free formulas in Non-linear Real Arithmetic or, more precisely, real closed fields, which uses a computer algebra system as the main component. This is complemented with two heuristic techniques, also stemming from computer algebra, viz. interval constraint propagation and subtropical satisfiability. Our key idea is to make optimal use of existing knowledge and work in the symbolic computation community, reusing available methods and implementations to the most possible extent. Experimental results show that our approach is surprisingly efficient in practice.
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Conference papers
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https://hal.inria.fr/hal-01946733
Contributor : Pascal Fontaine <>
Submitted on : Thursday, December 6, 2018 - 12:35:39 PM
Last modification on : Tuesday, February 19, 2019 - 3:40:04 PM
Long-term archiving on: Thursday, March 7, 2019 - 1:23:11 PM

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Pascal Fontaine, Mizuhito Ogawa, Thomas Sturm, Van Khanh To, Xuan Tung Vu. Wrapping Computer Algebra is Surprisingly Successful for Non-Linear SMT. SC-square 2018 - Third International Workshop on Satisfiability Checking and Symbolic Computation, Jul 2018, Oxford, United Kingdom. ⟨hal-01946733⟩

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