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We study the complexity of the problem of searching for a set of patterns that separate two given sets of strings. This problem has applications in a wide variety of areas, most notably in data mining, computational biology, and in…

Computational Complexity · Computer Science 2016-12-20 Giuseppe Lancia , Luke Mathieson , Pablo Moscato

Patterns provide a concise, syntactic way of describing a set of strings, but their expressive power comes at a price: a number of fundamental decision problems concerning (erasing) pattern languages, such as the membership problem and…

Formal Languages and Automata Theory · Computer Science 2019-05-21 Ziyuan Gao

Patterns are words with terminals and variables. The language of a pattern is the set of words obtained by uniformly substituting all variables with words that contain only terminals. Length constraints restrict valid substitutions of…

Formal Languages and Automata Theory · Computer Science 2025-03-03 Dirk Nowotka , Max Wiedenhöft

Twenty-seven years ago, E. Freuder highlighted that "Constraint programming represents one of the closest approaches computer science has yet made to the Holy Grail of programming: the user states the problem, the computer solves it".…

Artificial Intelligence · Computer Science 2023-08-04 Dimos Tsouros , Hélène Verhaeghe , Serdar Kadıoğlu , Tias Guns

In this paper we study a variant of string pattern matching which deals with tuples of strings known as \textit{multi-track strings}. Multi-track strings are a generalisation of strings (or \textit{single-track strings}) that have primarily…

Data Structures and Algorithms · Computer Science 2019-12-02 Carl Barton , Ewan Birney , Tomas Fitzgerald

Model-based language specification has applications in the implementation of language processors, the design of domain-specific languages, model-driven software development, data integration, text mining, natural language processing, and…

Computation and Language · Computer Science 2011-10-10 Luis Quesada , Fernando Berzal , Francisco J. Cortijo

In the constraint satisfaction problem (CSP) corresponding to a constraint language (i.e., a set of relations) $\Gamma$, the goal is to find an assignment of values to variables so that a given set of constraints specified by relations from…

Computational Complexity · Computer Science 2014-01-21 Andrei A. Bulatov , Dániel Marx

Extended formulations are an important tool in polyhedral combinatorics. Many combinatorial optimization problems require an exponential number of inequalities when modeled as a linear program in the natural space of variables. However, by…

Optimization and Control · Mathematics 2024-06-07 Christoph Buchheim

We consider the problem of efficiently designing sets (codes) of equal-length DNA strings (words) that satisfy certain combinatorial constraints. This problem has numerous motivations including DNA computing and DNA self-assembly. Previous…

Data Structures and Algorithms · Computer Science 2007-05-23 Ming-Yang Kao , Manan Sanghi , Robert Schweller

We present a new approach to enhancing Answer Set Programming (ASP) with Constraint Processing techniques which allows for solving interesting Constraint Satisfaction Problems in ASP. We show how constraints on finite domains can be…

Logic in Computer Science · Computer Science 2010-07-26 Christian Drescher , Toby Walsh

Already in the 1960s, Levenshtein and others studied error-correcting codes that protect against synchronization errors, such as symbol insertions and deletions. However, despite significant efforts, progress on designing such codes has…

Information Theory · Computer Science 2021-01-05 Bernhard Haeupler , Amirbehshad Shahrasbi

We study distributed algorithms for string matching problem in presence of wildcard characters. Given a string T (a text), we look for all occurrences of another string P (a pattern) as a substring of string T . Each wildcard character in…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-08 MohammadTaghi Hajiaghayi , Hamed Saleh , Saeed Seddighin , Xiaorui Sun

Requirements over strings, commonly represented using natural language (NL), are particularly relevant for software systems due to their heavy reliance on string data manipulation. While individual requirements can usually be analyzed…

Software Engineering · Computer Science 2025-06-23 Boqi Chen , Aren A. Babikian , Shuzhao Feng , Dániel Varró , Gunter Mussbacher

We show how the classical string dynamics in $D$-dimensional curved background can be reduced to the dynamics of a massless particle constrained on a certain surface whenever there exists at least one Killing vector for the background…

High Energy Physics - Theory · Physics 2007-05-23 P. Bozhilov

Large language models can produce creative and diverse responses. However, to integrate them into current developer workflows, it is essential to constrain their outputs to follow specific formats or standards. In this work, we surveyed 51…

Human-Computer Interaction · Computer Science 2024-04-12 Michael Xieyang Liu , Frederick Liu , Alexander J. Fiannaca , Terry Koo , Lucas Dixon , Michael Terry , Carrie J. Cai

Strings are a natural representation of biological data such as DNA, RNA and protein sequences. The problem of finding a string that summarizes a set of sequences has direct application in relative compression algorithms for genome and…

Data Structures and Algorithms · Computer Science 2019-12-06 P. Mirabal , J. Abreu , D. Seco

Modern conflict-driven clause-learning (CDCL) Boolean SAT solvers provide efficient automatic analysis of real-world feature models (FM) of systems ranging from cars to operating systems. It is well-known that solver-based analysis of…

Software Engineering · Computer Science 2015-07-30 Jia Hui Liang , Vijay Ganesh , Venkatesh Raman , Krzysztof Czarnecki

Constraint Programming (CP) solvers typically tackle optimization problems by repeatedly finding solutions to a problem while placing tighter and tighter bounds on the solution cost. This approach is somewhat naive, especially for…

Logic in Computer Science · Computer Science 2015-08-26 Nicholas Downing , Thibaut Feydy , Peter J. Stuckey

Constraint satisfaction problems (CSPs) are about finding values of variables that satisfy the given constraints. We show that Transformer extended with recurrence is a viable approach to learning to solve CSPs in an end-to-end manner,…

Artificial Intelligence · Computer Science 2023-07-12 Zhun Yang , Adam Ishay , Joohyung Lee

String processing, which mainly involves the analysis and manipulation of strings, is a fundamental component of modern computing. Despite the significant advancements of large language models (LLMs) in various natural language processing…

Computation and Language · Computer Science 2025-01-28 Xilong Wang , Hao Fu , Jindong Wang , Neil Zhenqiang Gong