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String constraint solving refers to solving combinatorial problems involving constraints over string variables. String solving approaches have become popular over the last years given the massive use of strings in different application…

Artificial Intelligence · Computer Science 2021-07-01 Roberto Amadini

Satisfiability solvers are increasingly playing a key role in software verification, with particularly effective use in the analysis of security vulnerabilities. String processing is a key part of many software applications, such as…

Computational Complexity · Computer Science 2009-03-17 Susmit Jha , Sanjit A. Seshia , Rhishikesh Limaye

We report (to our knowledge) the first evaluation of Constraint Satisfaction as a computational framework for solving closest string problems. We show that careful consideration of symbol occurrences can provide search heuristics that…

Artificial Intelligence · Computer Science 2010-05-04 Tom Kelsey , Lars Kotthoff

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

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

We present HornStr, the first solver for invariant synthesis for Regular Model Checking (RMC) with the specification provided in the SMT-LIB 2.6 theory of strings. It is well-known that invariant synthesis for RMC subsumes various important…

Logic in Computer Science · Computer Science 2025-05-27 Hongjian Jiang , Anthony W. Lin , Oliver Markgraf , Philipp Rümmer , Daniel Stan

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…

String analysis is the problem of reasoning about how strings are manipulated by a program. It has numerous applications including automatic detection of cross-site scripting (XSS). A popular string analysis technique includes symbolic…

Logic in Computer Science · Computer Science 2020-11-02 Lukas Holik , Petr Janku , Anthony W. Lin , Philipp Rümmer , Tomas Vojnar

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

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

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

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

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 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

The design and implementation of decision procedures for checking path feasibility in string-manipulating programs is an important problem, whose applications include symbolic execution and automated detection of cross-site scripting (XSS)…

Formal Languages and Automata Theory · Computer Science 2018-11-09 Taolue Chen , Matthew Hague , Anthony W. Lin , Philipp Rümmer , Zhilin Wu

We present a novel length-aware solving algorithm for the quantifier-free first-order theory over regex membership predicate and linear arithmetic over string length. We implement and evaluate this algorithm and related heuristics in the Z3…

Logic in Computer Science · Computer Science 2021-05-10 Murphy Berzish , Mitja Kulczynski , Federico Mora , Florin Manea , Joel D. Day , Dirk Nowotka , Vijay Ganesh

Sequence theories are an extension of theories of strings with an infinite alphabet of letters, together with a corresponding alphabet theory (e.g. linear integer arithmetic). Sequences are natural abstractions of extendable arrays, which…

Logic in Computer Science · Computer Science 2023-08-02 Artur Jeż , Anthony W. Lin , Oliver Markgraf , Philipp Rümmer

We address the satisfiability problem for string constraints that combine relational constraints represented by transducers, word equations, and string length constraints. This problem is undecidable in general. Therefore, we propose a new…

Formal Languages and Automata Theory · Computer Science 2023-07-11 Parosh Aziz Abdulla , Mohamed Faouzi Atig Bui Phi Diep , Lukáš Holík , Petr Janků

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
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