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Boolean satisfiability (SAT) is a fundamental NP-complete problem with many applications, including automated planning and scheduling. To solve large instances, SAT solvers have to rely on heuristics, e.g., choosing a branching variable in…

Artificial Intelligence · Computer Science 2023-07-19 Mikhail Shirokikh , Ilya Shenbin , Anton Alekseev , Sergey Nikolenko

Modern SMT solvers have revolutionized the approach to constraint satisfaction problems by integrating advanced theory reasoning and encoding techniques. In this work, we evaluate the performance of modern SMT solvers in Z3, CVC5 and…

Artificial Intelligence · Computer Science 2025-01-16 Liam Davis , Tairan Ji

Mata is a well-engineered automata library written in C++ that offers a unique combination of speed and simplicity. It is meant to serve in applications such as string constraint solving and reasoning about regular expressions, and as…

Formal Languages and Automata Theory · Computer Science 2024-03-29 David Chocholatý , Tomáš Fiedor , Vojtěch Havlena , Lukáš Holík , Martin Hruška , Ondřej Lengál , Juraj Síč

Several practical tools for automatically verifying functional programs (e.g., Liquid Haskell and Leon for Scala programs) rely on a heuristic based on unrolling recursive function definitions followed by quantifier-free reasoning using SMT…

Logic in Computer Science · Computer Science 2026-05-25 Adithya Murali , Lucas Peña , Ranjit Jhala , P. Madhusudan

We explore the idea of automatically crafting a tuning dataset for Statistical Machine Translation (SMT) that makes the hyper-parameters of the SMT system more robust with respect to some specific deficiencies of the parameter tuning…

Computation and Language · Computer Science 2017-10-03 Preslav Nakov , Stephan Vogel

Bit-vector formulas arising from hardware verification problems often contain word-level arithmetic operations. Empirical evidence shows that state-of-the-art SMT solvers are not very efficient at reasoning about bit-vector formulas with…

Logic in Computer Science · Computer Science 2016-12-13 Supratik Chakraborty , Ashutosh Gupta , Rahul Jain

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

Many data extraction tasks of practical relevance require not only syntactic pattern matching but also semantic reasoning about the content of the underlying text. While regular expressions are very well suited for tasks that require only…

Programming Languages · Computer Science 2023-08-28 Qiaochu Chen , Arko Banerjee , Çağatay Demiralp , Greg Durrett , Isil Dillig

Many real applications problems can be encoded easily as quantified formulas in SMT. However, this simplicity comes at the cost of difficulty during solving by SMT solvers. Different strategies and quantifier instantiation techniques have…

Logic in Computer Science · Computer Science 2025-08-13 Mudathir Mohamed , Nick Feng , Andrew Reynolds , Cesare Tinelli , Clark Barrett , Marsha Chechik

Strings are widely used in programs, especially in web applications. Integer data type occurs naturally in string-manipulating programs, and is frequently used to refer to lengths of, or positions in, strings. Analysis and testing of…

Logic in Computer Science · Computer Science 2020-07-15 Taolue Chen , Matthew Hague , Jinlong He , Denghang Hu , Anthony Widjaja Lin , Philipp Rummer , Zhilin Wu

Fundamentally, every static program analyser searches for a proof through a combination of heuristics providing candidate solutions and a candidate validation technique. Essentially, the heuristic reduces a second-order problem to a…

Logic in Computer Science · Computer Science 2015-01-20 Cristina David , Daniel Kroening , Matt Lewis

Modern software for propositional satisfiability problems gives a powerful automated reasoning toolkit, capable of outputting not only a satisfiable/unsatisfiable signal but also a justification of unsatisfiability in the form of resolution…

Artificial Intelligence · Computer Science 2024-11-13 Konstantin Sidorov , Koos van der Linden , Gonçalo Homem de Almeida Correia , Mathijs de Weerdt , Emir Demirović

Satisfiability Modulo Theories (SMT) has significant application in various domains. In this paper, we focus on quantifier-free Satisfiablity Modulo Real Arithmetic, referred to as SMT(RA), including both linear and non-linear real…

Logic in Computer Science · Computer Science 2023-08-03 Bohan Li , Shaowei Cai

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 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

The domains of data mining and knowledge discovery make use of large amounts of textual data, which need to be handled efficiently. Specific problems, like finding the maximum weight ordered common subset of a set of ordered sets or…

Data Structures and Algorithms · Computer Science 2009-12-07 Mugurel Ionut Andreica , Nicolae Tapus

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

Scene Text Recognition (STR) methods have demonstrated robust performance in word-level text recognition. However, in real applications the text image is sometimes long due to detected with multiple horizontal words. It triggers the…

Computer Vision and Pattern Recognition · Computer Science 2025-01-23 Yongkun Du , Zhineng Chen , Caiyan Jia , Xieping Gao , Yu-Gang Jiang

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

In this paper, we compare two alternative mechanisms for deciding the validity of first-order formulas over finite domains supported by the mathematical model checker RISCAL: first, the original approach of semantic evaluation (based on an…

Logic in Computer Science · Computer Science 2021-09-08 Wolfgang Schreiner , Franz-Xaver Reichl