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The goal of this paper is to set a constraint programming framework to solve lot-sizing problems. More specifically, we consider a single-item lot-sizing problem with time-varying lower and upper bounds for production and inventory. The…

Optimization and Control · Mathematics 2019-07-05 Grigori German , Hadrien Cambazard , Jean-Philippe Gayon , Bernard Penz

Solving avoidability problems in the area of string combinatorics often requires, in an initial step, the construction, via a computer program, of a very long word that does not contain any word that matches a given pattern. It is well…

Formal Languages and Automata Theory · Computer Science 2019-06-04 Thorsten Ehlers , Florin Manea , Dirk Nowotka , Kamellia Reshadi

We present a detailed set of performance comparisons of two state-of-the-art solvers for the application of designing time-delay compensators, an important problem in the field of robust control. Formulating such robust control mechanics as…

Optimization and Control · Mathematics 2019-01-01 Vyacheslav Kungurtsev , Tim Mitchell , Tomas Vyhlidal

Arrays are ubiquitous in the context of software verification. However, effective reasoning over arrays is still rare in CP, as local reasoning is dramatically ill-conditioned for constraints over arrays. In this paper, we propose an…

Logic in Computer Science · Computer Science 2013-12-03 Sébastien Bardin , Arnaud Gotlieb

This work presents a hybrid approach to solve the maximum stable set problem, using constraint and semidefinite programming. The approach consists of two steps: subproblem generation and subproblem solution. First we rank the variable…

Combinatorics · Mathematics 2007-05-23 W. J. van Hoeve

We present a new algorithm for determining the satisfiability of conjunctions of non-linear polynomial constraints over the reals, which can be used as a theory solver for satisfiability modulo theory (SMT) solving for non-linear real…

Symbolic Computation · Computer Science 2021-06-17 Erika Ábrahám , James H. Davenport , Matthew England , Gereon Kremer

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

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

This paper presents segmentation-free strategies for the recognition of handwritten numeral strings of unknown length. A synthetic dataset of touching numeral strings of sizes 2-, 3- and 4-digits was created to train end-to-end solutions…

Computer Vision and Pattern Recognition · Computer Science 2018-05-01 Andre G Hochuli , Luiz E S Oliveira , Alceu S Britto , Robert Sabourin

String matching is the problem of finding all the substrings of a text which match a given pattern. It is one of the most investigated problems in computer science, mainly due to its very diverse applications in several fields. Recently,…

Data Structures and Algorithms · Computer Science 2017-07-04 Domenico Cantone , Simone Faro , Arianna Pavone

Sentence ordering aims at arranging a list of sentences in the correct order. Based on the observation that sentence order at different distances may rely on different types of information, we devise a new approach based on multi-granular…

Computation and Language · Computer Science 2021-01-29 Yutao Zhu , Kun Zhou , Jian-Yun Nie , Shengchao Liu , Zhicheng Dou

The Closest String Problem is an NP-hard problem that aims to find a string that has the minimum distance from all sequences that belong to the given set of strings. Its applications can be found in coding theory, computational biology, and…

Artificial Intelligence · Computer Science 2024-07-19 Alireza Abdi , Marko Djukanovic , Hesam Tahmasebi Boldaji , Hadis Salehi , Aleksandar Kartelj

Satisfiability of word equations is an important problem in the intersection of formal languages and algebra: Given two sequences consisting of letters and variables we are to decide whether there is a substitution for the variables that…

Formal Languages and Automata Theory · Computer Science 2020-10-19 Artur Jeż

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

Many studies have been carried out in order to increase the search efficiency of constraint satisfaction problems; among them, some make use of structural properties of the constraint network; others take into account semantic properties of…

Artificial Intelligence · Computer Science 2014-11-17 P. David

We present a new approach for solving string equations as extensions of Nielsen transformations. Key to our work are the combination of three techniques: a power operator for strings; generalisations of Parikh images; and equality…

Logic in Computer Science · Computer Science 2026-03-06 Clemens Eisenhofer , Theodor Seiser , Nikolaj S. Bjørner , Laura Kovács

In constraint programming and related paradigms, a modeller specifies their problem in a modelling language for a solver to search and return its solution(s). Using high-level modelling languages such as Essence, a modeller may express…

Artificial Intelligence · Computer Science 2025-11-17 Özgür Akgün , Mun See Chang , Ian P. Gent , Christopher Jefferson

We consider strongly-convex-strongly-concave saddle-point problems with general non-bilinear objective and different condition numbers with respect to the primal and the dual variables. First, we consider such problems with smooth composite…

Optimization and Control · Mathematics 2021-06-15 Vladislav Tominin , Yaroslav Tominin , Ekaterina Borodich , Dmitry Kovalev , Alexander Gasnikov , Pavel Dvurechensky

We introduce the problem of ranking with slot constraints, which can be used to model a wide range of application problems -- from college admission with limited slots for different majors, to composing a stratified cohort of eligible…

Information Retrieval · Computer Science 2023-10-30 Wentao Guo , Andrew Wang , Bradon Thymes , Thorsten Joachims

In this paper, we investigate optimization problems with nonnegative and orthogonal constraints, where any feasible matrix of size $n \times p$ exhibits a sparsity pattern such that each row accommodates at most one nonzero entry. Our…

Optimization and Control · Mathematics 2025-11-06 Lei Wang , Xin Liu , Xiaojun Chen