Satisfiability modulo theories

C Barrett, C Tinelli - Handbook of model checking, 2018 - Springer
Abstract Satisfiability Modulo Theories (SMT) refers to the problem of determining whether a
first-order formula is satisfiable with respect to some logical theory. Solvers based on SMT …

[PDF][PDF] Hammering towards QED

JC Blanchette, C Kaliszyk, LC Paulson… - Journal of Formalized …, 2016 - pure.mpg.de
The main ingredients underlying this approach are efficient automatic theorem provers that
can cope with hundreds of axioms, suitable translations of the proof assistant's logic to the …

Extending Sledgehammer with SMT solvers

JC Blanchette, S Böhme, LC Paulson - Journal of automated reasoning, 2013 - Springer
Sledgehammer is a component of Isabelle/HOL that employs resolution-based first-order
automatic theorem provers (ATPs) to discharge goals arising in interactive proofs. It …

veriT: an open, trustable and efficient SMT-solver

T Bouton, D Caminha B. de Oliveira, D Déharbe… - … on Automated Deduction, 2009 - Springer
veriT: An Open, Trustable and Efficient SMT-Solver Page 1 veriT: An Open, Trustable and
Efficient SMT-Solver Thomas Bouton2, Diego Caminha B. de Oliveira2, David Déharbe1 …

A modular integration of SAT/SMT solvers to Coq through proof witnesses

M Armand, G Faure, B Grégoire, C Keller… - … Conference on Certified …, 2011 - Springer
We present a way to enjoy the power of SAT and SMT provers in Coq without compromising
soundness. This requires these provers to return not only a yes/no answer, but also a proof …

Challenging SMT solvers to verify neural networks

L Pulina, A Tacchella - Ai Communications, 2012 - content.iospress.com
In recent years, Satisfiability Modulo Theory (SMT) solvers are becoming increasingly
popular in the Computer Aided Verification and Reasoning community. Used natively or as …

Fast LCF-style proof reconstruction for Z3

S Böhme, T Weber - … Theorem Proving: First International Conference, ITP …, 2010 - Springer
Abstract The Satisfiability Modulo Theories (SMT) solver Z3 can generate proofs of
unsatisfiability. We present independent reconstruction of these proofs in the theorem …

Satisfiability modulo theories

C Barrett, R Sebastiani, SA Seshia… - Handbook of …, 2021 - ebooks.iospress.nl
Applications in artificial intelligence, formal verification, and other areas have greatly
benefited from the recent advances in SAT. It is often the case, however, that applications in …

[PDF][PDF] Flexible proof production in an industrial-strength SMT solver

H Barbosa, A Reynolds, G Kremer… - … Joint Conference on …, 2022 - library.oapen.org
Proof production for SMT solvers is paramount to ensure their correctness independently
from implementations, which are often prohibitively difficult to verify. Historically, however …

Fast reflexive arithmetic tactics the linear case and beyond

F Besson - Types for Proofs and Programs: International Workshop …, 2007 - Springer
When goals fall in decidable logic fragments, users of proof-assistants expect automation.
However, despite the availability of decision procedures, automation does not come for free …