English

The ksmt calculus is a $\delta$-complete decision procedure for non-linear constraints

Logic in Computer Science 2021-04-28 v1

Abstract

ksmt is a CDCL-style calculus for solving non-linear constraints over real numbers involving polynomials and transcendental functions. In this paper we investigate properties of the ksmt calculus and show that it is a δ\delta-complete decision procedure for bounded problems. We also propose an extension with local linearisations, which allow for more efficient treatment of non-linear constraints.

Keywords

Cite

@article{arxiv.2104.13269,
  title  = {The ksmt calculus is a $\delta$-complete decision procedure for non-linear constraints},
  author = {Franz Brauße and Konstantin Korovin and Margarita V. Korovina and Norbert Th. Müller},
  journal= {arXiv preprint arXiv:2104.13269},
  year   = {2021}
}

Comments

The conference version of this paper is accepted at CADE-28