Lazy satisfiability modulo theories

R Sebastiani - Journal on Satisfiability, Boolean Modeling and …, 2007 - content.iospress.com
Abstract Satisfiability Modulo Theories (SMT) is the problem of deciding the satisfiability of a
first-order formula with respect to some decidable first-order theory T (SMT (T)). These …

Satisfiability modulo theories: An appetizer

L De Moura, N Bjørner - Brazilian Symposium on Formal Methods, 2009 - Springer
Abstract Satisfiability Modulo Theories (SMT) is about checking the satisfiability of logical
formulas over one or more theories. The problem draws on a combination of some of the …

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 …

Generalized, efficient array decision procedures

L De Moura, N Bjørner - 2009 Formal Methods in Computer …, 2009 - ieeexplore.ieee.org
The theory of arrays is ubiquitous in the context of software and hardware verification and
symbolic analysis. The basic array theory was introduced by McCarthy and allows to …

Variant-based satisfiability in initial algebras

J Meseguer - Science of Computer Programming, 2018 - Elsevier
Although different satisfiability decision procedures can be combined by algorithms such as
those of Nelson–Oppen or Shostak, current tools typically can only support a finite number of …

Hierarchic superposition with weak abstraction

P Baumgartner, U Waldmann - … on Automated Deduction, Lake Placid, NY …, 2013 - Springer
Many applications of automated deduction require reasoning in first-order logic modulo
background theories, in particular some form of integer arithmetic. A major unsolved …

Superposition modulo linear arithmetic SUP (LA)

E Althaus, E Kruglov, C Weidenbach - Frontiers of Combining Systems …, 2009 - Springer
The hierarchical superposition based theorem proving calculus of Bachmair, Ganzinger, and
Waldmann enables the hierarchic combination of a theory with full first-order logic. If a …

Reusing constraint proofs in program analysis

A Aquino, FA Bianchi, M Chen, G Denaro… - Proceedings of the 2015 …, 2015 - dl.acm.org
Symbolic analysis techniques have largely improved over the years, and are now
approaching an industrial maturity level. One of the main limitations to the scalability of …

On deciding satisfiability by theorem proving with speculative inferences

MP Bonacina, CA Lynch, L De Moura - Journal of Automated Reasoning, 2011 - Springer
Applications in software verification often require determining the satisfiability of first-order
formulae with respect to background theories. During development, conjectures are usually …

Engineering dpll (t)+ saturation

L de Moura, N Bjørner - International Joint Conference on Automated …, 2008 - Springer
Abstract Satisfiability Modulo Theories (SMT) solvers have proven highly scalable, efficient
and suitable for integrated theory reasoning. The most efficient SMT solvers rely on …