CoqQFBV: A Scalable Certified SMT Quantifier-Free Bit-Vector Solver

Abstract

Abstract We present a certified SMT QF_BV solver CoqQFBV built from a verified bit blasting algorithm, Kissat, and the verified SAT certificate checker GratChk in this paper. Our verified bit blasting algorithm supports the full QF_BV logic of SMT-LIB; it is specified and formally verified in the proof assistant Coq . We compare CoqQFBV with CVC4, Bitwuzla, and Boolector on benchmarks from the QF_BV division of the single query track in the 2020 SMT Competition, and real-world cryptographic program verification problems. CoqQFBV surprisingly solves more program verification problems with certification than the 2020 SMT QF_BV division winner Bitwuzla without certification.