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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

In this dissertation we study regular expression based parsing and the use of grammatical specifications for the synthesis of fast, streaming string-processing programs. In the first part we develop two linear-time algorithms for regular…

Formal Languages and Automata Theory · Computer Science 2017-05-01 Ulrik Terp Rasmussen

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

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 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

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

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

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

Existing support for regular expressions in automated test generation or verification tools is lacking. Common aspects of regular expression engines found in mainstream programming languages, such as backreferences or greedy matching, are…

Programming Languages · Computer Science 2020-03-16 Blake Loring , Duncan Mitchell , Johannes Kinder

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

Regular model checking is an exploration technique for infinite state systems where state spaces are represented as regular languages and transition relations are expressed using rational relations over infinite (or finite) strings. We…

Logic in Computer Science · Computer Science 2021-07-13 Vrunda Dave , Taylor Dohmen , Shankara Narayana Krishna , Ashutosh Trivedi

Automating string transformations has been one of the killer applications of program synthesis. Existing synthesizers that solve this problem produce programs in domain-specific languages (DSL) that are engineered to help the synthesizer,…

Formal Languages and Automata Theory · Computer Science 2022-08-30 Anvay Grover , Ruediger Ehlers , Loris D'Antoni

Modern language models define distributions over strings, but downstream tasks often require different output formats. For instance, a model that generates byte-pair strings does not directly produce word-level predictions, and a DNA model…

Computation and Language · Computer Science 2026-03-09 Vésteinn Snæbjarnarson , Samuel Kiegeland , Tianyu Liu , Reda Boumasmoud , Ryan Cotterell , Tim Vieira

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

Streaming Data String Transducers (SDSTs) were introduced to model a class of imperative and a class of functional programs, manipulating lists of data items. These can be used to write commonly used routines such as insert, delete and…

Formal Languages and Automata Theory · Computer Science 2020-12-15 M. Praveen

We study the fundamental issue of decidability of satisfiability over string logics with concatenations and finite-state transducers as atomic operations. Although restricting to one type of operations yields decidability, little is known…

Logic in Computer Science · Computer Science 2015-11-06 Anthony W. Lin , Pablo Barcelo

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

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

Recently, it was shown that any theory of strings containing the string-replace function (even the most restricted version where pattern/replacement strings are both constant strings) becomes undecidable if we do not impose some kind of…

Logic in Computer Science · Computer Science 2017-11-10 Taolue Chen , Yan Chen , Matthew Hague , Anthony W. Lin , Zhilin Wu

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
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