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Related papers: An SMT Solver for Regular Expressions and Linear A…

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We present a new string SMT solver, Z3str3, that is faster than its competitors Z3str2, Norn, CVC4, S3, and S3P over a majority of three industrial-strength benchmarks, namely Kaluza, PISA, and IBM AppScan. Z3str3 supports string equations,…

Logic in Computer Science · Computer Science 2017-04-27 Murphy Berzish , Yunhui Zheng , Vijay Ganesh

We present a solver for a many-sorted first-order quantifier-free theory $T_{w,bv}$ of string equations, string length represented as bit-vectors, and bit-vector arithmetic aimed at formal verification, automated testing, and security…

Logic in Computer Science · Computer Science 2016-06-01 Sanu Subramanian , Murphy Berzish , Yunhui Zheng , Omer Tripp , Vijay Ganesh

Regular expressions are a classical concept in formal language theory. Regular expressions in programming languages (RegEx) such as JavaScript, feature non-standard semantics of operators (e.g. greedy/lazy Kleene star), as well as…

We generalize an efficient automata-based approach to string constraint solving, the stabilization-based method behind the solver Z3-Noodler, to support relational constraints represented by finite-state transducers (useful, for example,…

Formal Languages and Automata Theory · Computer Science 2026-05-19 David Chocholatý , Vojtěch Havlena , Lukáš Holík , Juraj Síč , Michal Šedý

We introduce a novel decision procedure for solving the class of position string constraints, which includes string disequalities, not-prefixof, not-suffixof, str$.$at, and not-str$.$at. These constraints are generated frequently in almost…

Logic in Computer Science · Computer Science 2025-04-11 Yu-Fang Chen , Vojtěch Havlena , Michal Hečko , Lukáš Holík , Ondřej Lengál

Z3-Noodler is a fork of Z3 that replaces its string theory solver with a custom solver implementing the recently introduced stabilization-based algorithm for solving word equations with regular constraints. An extensive experimental…

Logic in Computer Science · Computer Science 2023-10-18 Yu-Fang Chen , David Chocholatý , Vojtěch Havlena , Lukáš Holík , Ondřej Lengál , Juraj Síč

Theories over strings are among the most heavily researched logical theories in the SMT community in the past decade, owing to the error-prone nature of string manipulations, which often leads to security vulnerabilities (e.g. cross-site…

Programming Languages · Computer Science 2021-12-15 Shuanglong Kan , Anthony W. Lin , Philipp Rümmer , Micha Schrader

String constraint solving, and the underlying theory of word equations, are highly interesting research topics both for practitioners and theoreticians working in the wide area of satisfiability modulo theories. As string constraint solving…

Logic in Computer Science · Computer Science 2022-08-19 Joel D. Day , Adrian Kröger , Mitja Kulczynski , Florin Manea , Dirk Nowotka , Danny Bøgsted Poulsen

In recent years there has been considerable interest in theories over string equations, length function, and string-number conversion predicate within the formal verification, software engineering, and security communities. SMT solvers for…

Logic in Computer Science · Computer Science 2016-10-28 Vijay Ganesh , Murphy Berzish

In this paper, we consider the satisfiability problem for string logic with equations, regular membership and Presburger constraints over length functions. The difficulty comes from multiple occurrences of string variables making…

Logic in Computer Science · Computer Science 2016-10-12 Quang Loc Le

Widespread use of string solvers in formal analysis of string-heavy programs has led to a growing demand for more efficient and reliable techniques which can be applied in this context, especially for real-world cases. Designing an…

Computation and Language · Computer Science 2021-05-18 Murphy Berzish , Joel D. Day , Vijay Ganesh , Mitja Kulczynski , Florin Manea , Federico Mora , Dirk Nowotka

This paper presents a novel approach to automatically solving arithmetic word problems. This is the first algorithmic approach that can handle arithmetic problems with multiple steps and operations, without depending on additional…

Computation and Language · Computer Science 2016-08-23 Subhro Roy , Dan Roth

The theory of sequences, supported by many SMT solvers, can model program data types including bounded arrays and lists. Sequences are parameterized by the element data type and provide operations such as accessing elements, concatenation,…

Programming Languages · Computer Science 2025-09-09 Denghang Hu , Taolue Chen , Philipp Rümmer , Fu Song , Zhilin Wu

We present OSTRICH2, the latest evolution of the SMT solver OSTRICH for string constraints. OSTRICH2 supports a wide range of complex functions on strings and provides completeness guarantees for a substantial fragment of string…

Logic in Computer Science · Computer Science 2025-08-18 Matthew Hague , Denghang Hu , Artur Jeż , Anthony W. Lin , Oliver Markgraf , Philipp Rümmer , Zhilin Wu

We prove several decidability and undecidability results for the satisfiability and validity problems for languages that can express solutions to word equations with length constraints. The atomic formulas over this language are equality…

Logic in Computer Science · Computer Science 2013-06-26 Vijay Ganesh , Mia Minnes , Armando Solar-Lezama , Martin Rinard

A novel model-based approach to verify dynamic networks is proposed; the approach consists in formally describing the network topology and dynamic link parameters. A many sorted first order logic formula is constructed to check the model…

Software Engineering · Computer Science 2020-10-14 Erick Petersen , Jorge López , Natalia Kushik , Claude Poletti , Djamal Zeghlache

We present Woorpje, a string solver for bounded word equations (i.e., equations where the length of each variable is upper bounded by a given integer). Our algorithm works by reformulating the satisfiability of bounded word equations as a…

Formal Languages and Automata Theory · Computer Science 2019-06-28 Joel D. Day , Thorsten Ehlers , Mitja Kulczynski , Florin Manea , Dirk Nowotka , Danny Bøgsted Poulsen

The past decade has witnessed substantial developments in string solving. Motivated by the complexity of string solving strategies adopted in existing string solvers, we investigate a simple and generic method for solving string…

Logic in Computer Science · Computer Science 2025-08-28 Matthew Hague , Artur Jeż , Anthony W. Lin , Oliver Markgraf , Philipp Rümmer

Solving nonlinear SMT problems over real numbers has wide applications in robotics and AI. While significant progress is made in solving quantifier-free SMT formulas in the domain, quantified formulas have been much less investigated. We…

Logic in Computer Science · Computer Science 2018-07-24 Soonho Kong , Armando Solar-Lezama , Sicun Gao

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
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