Simplex with sum of infeasibilities for SMT

Tim King, Clark Barrett, Bruno Dutertre

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The de facto standard for state-of-the-art real and integer linear reasoning within Satisfiability Modulo Theories (SMT) solvers is the Simplex for DPLL(T) algorithm given by Dutertre and de Moura. This algorithm works by performing a sequence of local optimization operations. While the algorithm is generally efficient in practice, its local pivoting heuristics lead to slow convergence on some problems. More traditional Simplex algorithms minimize a global criterion to determine the feasibility of the input constraints. We present a novel Simplex-based decision procedure for use in SMT that minimizes the sum of infeasibilities of the constraints. Experimental results show that this new algorithm is comparable with or outperforms Simplex for DPLL(T) on a broad set of benchmarks.

Original languageEnglish (US)
Title of host publication2013 Formal Methods in Computer-Aided Design, FMCAD 2013
PublisherIEEE Computer Society
Pages189-196
Number of pages8
ISBN (Print)9780983567837
DOIs
StatePublished - 2013
Event13th International Conference on Formal Methods in Computer-Aided Design, FMCAD 2013 - Portland, OR, United States
Duration: Oct 20 2013Oct 23 2013

Publication series

Name2013 Formal Methods in Computer-Aided Design, FMCAD 2013

Other

Other13th International Conference on Formal Methods in Computer-Aided Design, FMCAD 2013
CountryUnited States
CityPortland, OR
Period10/20/1310/23/13

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design
  • Logic

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    King, T., Barrett, C., & Dutertre, B. (2013). Simplex with sum of infeasibilities for SMT. In 2013 Formal Methods in Computer-Aided Design, FMCAD 2013 (pp. 189-196). [6679409] (2013 Formal Methods in Computer-Aided Design, FMCAD 2013). IEEE Computer Society. https://doi.org/10.1109/fmcad.2013.6679409