English

Language and Proofs for Higher-Order SMT (Work in Progress)

Logic in Computer Science 2017-12-06 v1

Abstract

Satisfiability modulo theories (SMT) solvers have throughout the years been able to cope with increasingly expressive formulas, from ground logics to full first-order logic modulo theories. Nevertheless, higher-order logic within SMT is still little explored. One main goal of the Matryoshka project, which started in March 2017, is to extend the reasoning capabilities of SMT solvers and other automatic provers beyond first-order logic. In this preliminary report, we report on an extension of the SMT-LIB language, the standard input format of SMT solvers, to handle higher-order constructs. We also discuss how to augment the proof format of the SMT solver veriT to accommodate these new constructs and the solving techniques they require.

Keywords

Cite

@article{arxiv.1712.01486,
  title  = {Language and Proofs for Higher-Order SMT (Work in Progress)},
  author = {Haniel Barbosa and Jasmin Christian Blanchette and Simon Cruanes and Daniel El Ouraoui and Pascal Fontaine},
  journal= {arXiv preprint arXiv:1712.01486},
  year   = {2017}
}

Comments

In Proceedings PxTP 2017, arXiv:1712.00898

R2 v1 2026-06-22T23:06:56.398Z