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Satisfiability modulo theory (SMT) consists in testing the satisfiability of first-order formulas over linear integer or real arithmetic, or other theories. In this survey, we explain the combination of propositional satisfiability and…

Logic in Computer Science · Computer Science 2016-06-16 David Monniaux

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…

Logic in Computer Science · Computer Science 2017-12-06 Haniel Barbosa , Jasmin Christian Blanchette , Simon Cruanes , Daniel El Ouraoui , Pascal Fontaine

Reasoning about array data structures is a key requirement for many applications in hardware and software verification, especially in combination with machine integers. The Satisfiability Modulo Theories (SMT) theory of extensional arrays…

Logic in Computer Science · Computer Science 2026-05-20 Mathias Preiner , Aina Niemetz , Clark Barrett

Satisfiability Modulo Theories (SMT) refers to the problem of deciding the satisfiability of a formula with respect to certain background first order theories. In this paper, we focus on Satisfiablity Modulo Integer Arithmetic, which is…

Logic in Computer Science · Computer Science 2023-05-18 Shaowei Cai , Bohan Li , Xindi Zhang

We present VMT-LIB, a language for the representation of verification problems of linear-time temporal properties on infinite-state symbolic transition systems. VMT-LIB is an extension of the standard SMT-LIB language for SMT solvers,…

Logic in Computer Science · Computer Science 2021-09-28 Alessandro Cimatti , Alberto Griggio , Stefano Tonetta

In the past two decades, significant research and development effort went into the development of verification tools for individual languages, such asC, C++, and Java. Many of the used verification approaches are in fact language-agnostic…

Programming Languages · Computer Science 2025-11-27 Dirk Beyer , Gidon Ernst , Martin Jonáš , Marian Lingsch-Rosenfeld

We introduce an approach that aims to combine the usage of satisfiability modulo theories (SMT) solvers with the Combinatory Logic Synthesizer (CL)S framework. (CL)S is a tool for the automatic composition of software components from a…

Logic in Computer Science · Computer Science 2019-08-27 Fadil Kallat , Tristan Schäfer , Anna Vasileva

Satisfiability Modulo Theories (SMT) solvers incorporate decision procedures for theories of data types that commonly occur in software. This makes them important tools for automating verification problems. A limitation frequently…

Logic in Computer Science · Computer Science 2015-08-28 Kshitij Bansal , Andrew Reynolds , Tim King , Clark Barrett , Thomas Wies

The problem of finding small unsatisfiable cores for SAT formulas has recently received a lot of interest, mostly for its applications in formal verification. However, propositional logic is often not expressive enough for representing many…

Logic in Computer Science · Computer Science 2014-01-17 Alessandro Cimatti , Alberto Griggio , Roberto Sebastiani

Synthesis of models and strategies is a very important problem in software engineering. The main element here is checking the satisfiability of formulae expressing the specification of a system to be implemented. This paper puts forward a…

Logic in Computer Science · Computer Science 2020-02-11 Magdalena Kacprzak , Artur Niewiadomski , Wojciech Penczek

This short paper proposes to learn models of satisfiability modulo theories (SMT) formulas during solving. Specifically, we focus on infinite models for problems in the logic of linear arithmetic with uninterpreted functions (UFLIA). The…

Logic in Computer Science · Computer Science 2025-03-24 Mikoláš Janota , Bartosz Piotrowski , Karel Chvalovský

Artificial Intelligence problems, ranging form planning/scheduling up to game control, include an essential crucial step: describing a model which accurately defines the problem's required data, requirements, allowed transitions and…

Artificial Intelligence · Computer Science 2019-03-25 Andrei Arusoaie , Ionut Pistol

Correctness of results from mixed-integer linear programming (MILP) solvers is critical, particularly in the context of applications such as hardware verification, compiler optimization, or machine-assisted theorem proving. To this end,…

Logic in Computer Science · Computer Science 2025-10-14 Kenan Wood , Runtian Zhou , Haoze Wu , Hammurabi Mendes , Jonad Pulaj

In the contexts of automated reasoning (AR) and formal verification (FV), important decision problems are effectively encoded into Satisfiability Modulo Theories (SMT). In the last decade efficient SMT solvers have been developed for…

Logic in Computer Science · Computer Science 2014-10-23 Roberto Sebastiani , Silvia Tomasi

Satisfiability Modulo Theories (SMT) and SAT solvers are critical components in many formal software tools, primarily due to the fact that they are able to easily solve logical problem instances with millions of variables and clauses. This…

Logic in Computer Science · Computer Science 2021-09-06 Gereon Kremer , Erika Abraham , Vijay Ganesh

We develop a simple functional programming language aimed at manipulating infinite, but first-order definable structures, such as the countably infinite clique graph or the set of all intervals with rational endpoints. Internally, such sets…

Programming Languages · Computer Science 2016-04-06 Bartek Klin , Michał Szynwelski

In the last few years there have been rapid developments in SMT solving for finite fields. These include new decision procedures, new implementations of SMT theory solvers, and new software verifiers that rely on SMT solving for finite…

Logic in Computer Science · Computer Science 2024-08-01 Thomas Hader , Alex Ozdemir

MLJ (Machine Learing in Julia) is an open source software package providing a common interface for interacting with machine learning models written in Julia and other languages. It provides tools and meta-algorithms for selecting, tuning,…

Machine Learning · Computer Science 2020-12-01 Anthony D. Blaom , Franz Kiraly , Thibaut Lienart , Yiannis Simillides , Diego Arenas , Sebastian J. Vollmer

Satisfiability Modulo Theory (SMT) has recently emerged as a powerful tool for solving various automated reasoning problems across diverse domains. Unlike traditional satisfiability methods confined to Boolean variables, SMT can reason on…

Logic in Computer Science · Computer Science 2025-08-14 Arijit Shaw , Uddalok Sarkar , Kuldeep S. Meel

We apply Boolean Satisfiability (SAT) and Satisfiability Modulo Theories (SMT) solvers in the context of finding chiral heterotic string models with positive cosmological constant from $\mathbb{Z}_2\times \mathbb{Z}_2$ orbifolds. The power…

High Energy Physics - Theory · Physics 2021-03-17 Alon E. Faraggi , Benjamin Percival , Sven Schewe , Dominik Wojtczak
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