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We propose an algorithm for solving bound-constrained mathematical programs with complementarity constraints on the variables. Each iteration of the algorithm involves solving a linear program with complementarity constraints in order to…

Optimization and Control · Mathematics 2022-01-14 Christian Kirches , Jeffrey Larson , Sven Leyffer , Paul Manns

Answer Set Programming (ASP) with stable model semantics has proven highly effective for knowledge representation and reasoning. However, the minimality requirement of stable models can be restrictive for applications requiring exploration…

Logic in Computer Science · Computer Science 2026-01-30 Fang Li , Gopal Gupta

Abstraction is a well-known approach to simplify a complex problem by over-approximating it with a deliberate loss of information. It was not considered so far in Answer Set Programming (ASP), a convenient tool for problem solving. We…

Logic in Computer Science · Computer Science 2021-07-01 Zeynep G. Saribatur , Thomas Eiter

When solving a combinatorial problem using propositional satisfiability (SAT), the encoding of the problem is of vital importance. We study encodings of Pseudo-Boolean (PB) constraints, a common type of arithmetic constraint that appears in…

Artificial Intelligence · Computer Science 2021-10-18 Miquel Bofill , Jordi Coll , Peter Nightingale , Josep Suy , Felix Ulrich-Oltean , Mateu Villaret

Automating the constraint modelling process is one of the key challenges facing the constraints field, and one of the principal obstacles preventing widespread adoption of constraint solving. This paper focuses on the refinement-based…

Artificial Intelligence · Computer Science 2015-03-19 Ozgur Akgun , Alan M. Frisch , Brahim Hnich , Chris Jefferson , Ian Miguel

In this paper we studied combinatorial problems with parameterized locally budgeted uncertainty. We are looking for a solutions set such that for any parameters vector there exists a solution in the set with robustness near optimal. The…

Optimization and Control · Mathematics 2023-01-26 Alejandro Crema

The constrained synchronization problem (CSP) asks for a synchronizing word of a given input automaton contained in a regular set of constraints. It could be viewed as a special case of synchronization of a discrete event system under…

Formal Languages and Automata Theory · Computer Science 2021-08-03 Stefan Hoffmann

Set reconciliation is a fundamental algorithmic problem that arises in many networking, system, and database applications. In this problem, two large sets A and B of objects (bitcoins, files, records, etc.) are stored respectively at two…

Databases · Computer Science 2020-08-18 Long Gong , Ziheng Liu , Liang Liu , Jun Xu , Mitsunori Ogihara , Tong Yang

Applying machine learning to combinatorial optimization problems has the potential to improve both efficiency and accuracy. However, existing learning-based solvers often struggle with generalization when faced with changes in problem…

Machine Learning · Computer Science 2023-03-02 Chenguang Wang , Zhouliang Yu , Stephen McAleer , Tianshu Yu , Yaodong Yang

Combinatorial optimization can be described as the problem of finding a feasible subset that maximizes a objective function. The paper discusses combinatorial optimization problems, where for each dimension the set of feasible subsets is…

Computational Complexity · Computer Science 2024-11-27 Nimrod Megiddo

Reconfiguration is an important activity for companies selling configurable products or services which have a long life time. However, identification of a set of required changes in a legacy configuration is a hard problem, since even small…

Artificial Intelligence · Computer Science 2011-09-02 Gerhard Friedrich , Anna Ryabokon , Andreas A. Falkner , Alois Haselböck , Gottfried Schenner , Herwig Schreiner

Answer set programming (ASP) is a popular nonmonotonic-logic based paradigm for knowledge representation and solving combinatorial problems. Computing the answer set of an ASP program is NP-hard in general, and researchers have been…

Artificial Intelligence · Computer Science 2021-04-06 Fang Li , Huaduo Wang , Gopal Gupta

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

It is common for search and optimization problems to have alternative equivalent encodings in ASP. Typically none of them is uniformly better than others when evaluated on broad classes of problem instances. We claim that one can improve…

Artificial Intelligence · Computer Science 2019-09-19 Liu Liu , Miroslaw Truszczynski

We have focused on Answer Set Programming (ASP), more specifically, answer set counting, exploring both exact and approximate methodologies. We developed an exact ASP counter, sharpASP, which utilizes a compact encoding for propositional…

Computation and Language · Computer Science 2025-02-14 Mohimenul Kabir

Fragment-based shape signature techniques have proven to be powerful tools for computer-aided drug design. They allow scientists to search for target molecules with some similarity to a known active compound. They do not require reference…

Artificial Intelligence · Computer Science 2022-01-05 Thierry Petit , Randy J. Zauhar

A mathematical programming problem with affine equilibrium constraints (AMPEC) is a bilevel programming problem where the lower one is a parametric affine variational inequality. We formulate some classes of bilevel programming in forms of…

Optimization and Control · Mathematics 2011-05-18 Le Dung Muu , Tran Dinh Quoc , Le Thi Hoai An , Pham Dinh Tao

Answer Set Programming (ASP) is a famous logic language for knowledge representation, which has been really successful in the last years, as witnessed by the great interest into the development of efficient solvers for ASP. Yet, the great…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-19 Marco De Bortoli

Context: Combinatorial testing strategies have lately received a lot of attention as a result of their diverse applications. In its simple form, a combinatorial strategy can reduce several input parameters (configurations) of a system into…

Software Engineering · Computer Science 2018-04-23 Bestoun S. Ahmed , Luca M. Gambardella , Wasif Afzal , Kamal Z. Zamli