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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

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

The Satisfiability Modulo Theories (SMT) issue concerns the satisfiability of formulae from multiple background theories, usually expressed in the language of first-order predicate logic with equality. SMT solvers are often based on…

Logic in Computer Science · Computer Science 2021-09-20 Domenico Cantone , Andrea De Domenico , Pietro Maugeri

We investigate the domain of satisfiable formulas in satisfiability modulo theories (SMT), in particular, automatic generation of a multitude of satisfying assignments to such formulas. Despite the long and successful history of SMT in…

Logic in Computer Science · Computer Science 2022-12-14 Matan Peled , Bat-Chen Rothenberg , Shachar Itzhaky

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

Satisfiability modulo theories (SMT) is a core tool in formal verification. While the SMT-LIB specification language can be used to interact with theorem proving software, a high-level interface allows for faster and easier specifications…

Logic in Computer Science · Computer Science 2024-12-05 Emiko Soroka , Mykel J. Kochenderfer , Sanjay Lall

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

This paper studies Linear Temporal Logic over Finite Traces (LTLf) where proposition letters are replaced with first-order formulas interpreted over arbitrary theories, in the spirit of Satisfiability Modulo Theories. The resulting logic,…

Logic in Computer Science · Computer Science 2022-05-25 Luca Geatti , Alessandro Gianola , Nicola Gigante

This paper describes how Yices, a modern SAT Modulo theories solver, can be used to analyze the address-book problem expressed in Alloy, a first-order relational logic with transitive closure. Current analysis of Alloy models - as performed…

Logic in Computer Science · Computer Science 2015-05-05 Aboubakr Achraf El Ghazi , Mana Taghdiri

We present a tool for verification of deterministic programs with shared mutable references against specifications such as assertions, preconditions, postconditions, and read/write effects. We implement our tool by encoding programs with…

Logic in Computer Science · Computer Science 2021-03-16 Georg Schmid , Viktor Kunčak

Algebraic data types (ADTs) are a construct classically found in functional programming languages that capture data structures like enumerated types, lists, and trees. In recent years, interest in ADTs has increased. For example, popular…

Logic in Computer Science · Computer Science 2023-10-20 Amar Shah , Federico Mora , Sanjit A. Seshia

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

Satisfiability Modulo Theories (SMT) specifications often rely on quantifiers to remain concise and declarative. However, checking the satisfiability of such specifications directly can be inefficient. A common optimization is to ground the…

Logic in Computer Science · Computer Science 2026-02-24 Pierre Carbonnelle

SMT-based program analysis and verification often involve reasoning about program features that have been specified using quantifiers; incorporating quantifiers into SMT-based reasoning is, however, known to be challenging. If quantifier…

Logic in Computer Science · Computer Science 2024-04-30 Rui Ge , Ronald Garcia , Alexander J. Summers

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

Recent years have witnessed a wide array of results in software testing, exploring different approaches and methodologies ranging from fuzzers to symbolic engines, with a full spectrum of instances in between such as concolic execution and…

Software Engineering · Computer Science 2021-06-14 Luca Borzacchiello , Emilio Coppa , Camil Demetrescu

We present an encoding of Zermelo-Fraenkel set theory into many-sorted first-order logic, the input language of state-of-the-art SMT solvers. This translation is the main component of a back-end prover based on SMT solvers in the TLA+ Proof…

Logic in Computer Science · Computer Science 2015-08-18 Stephan Merz , Hernán Vanzetto

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

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

The paper focuses on the automatic generating of the witnesses for the word equation satisfiability problem by means of specializing an interpreter which tests whether a composition of variable substitutions of a given word equation system…

Programming Languages · Computer Science 2021-09-08 Antonina Nepeivoda
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