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The focus of this paper is on reducing the complexity in verification by exploiting modularity at various levels: in specification, in verification, and structurally. For specifications, we use the modular language CSP-OZ-DC, which allows…

Software Engineering · Computer Science 2015-05-20 Johannes Faber , Carsten Ihlemann , Swen Jacobs , Viorica Sofronie-Stokkermans

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

The Constraint-satisfaction problem (CSP) is fundamental in mathematics, physics, and theoretical computer science. Continuous local search (CLS) solvers, as recent advancements, can achieve highly competitive results on certain classes of…

Artificial Intelligence · Computer Science 2026-01-29 Yunuo Cen , Zixuan Wang , Jintao Zhang , Zhiwei Zhang , Xuanyao Fong

Specifications for modular program verifiers are expressed as constraints on program states (e.g. preconditions) and relations on program states (e.g. postconditions). For programs whose domain is managing resources of any kind (e.g.…

Programming Languages · Computer Science 2024-04-19 Zachary Grannan , Alexander J. Summers

Constraint Satisfaction Problems (CSPs, for short) make up a class of problems with applications in many areas of computer science. The first classification of these problems was given by Schaeffer who showed that every CSP over the domain…

Computational Complexity · Computer Science 2025-08-18 Dejan Delic , John Marcoux

Literature on Constraint Satisfaction exhibits the definition of several structural properties that can be possessed by CSPs, like (in)consistency, substitutability or interchangeability. Current tools for constraint solving typically…

Artificial Intelligence · Computer Science 2014-01-16 Lucas Bordeaux , Marco Cadoli , Toni Mancini

We consider the decidability of the verification problem of programs \emph{modulo axioms} --- that is, verifying whether programs satisfy their assertions, when the functions and relations it uses are assumed to interpreted by arbitrary…

Programming Languages · Computer Science 2019-10-30 Umang Mathur , P. Madhusudan , Mahesh Viswanathan

When dealing with real-world optimization problems, decision-makers usually face high levels of uncertainty associated with partial information, unknown parameters, or complex relationships between these and the problem decision variables.…

Optimization and Control · Mathematics 2023-05-01 Antonio Alcántara , Carlos Ruiz

Formal reasoning about finite sets and cardinality is an important tool for many applications, including software verification, where very often one needs to reason about the size of a given data structure and not only about what its…

Logic in Computer Science · Computer Science 2021-10-06 Maximiliano Cristiá , Gianfranco Rossi

Building on the successes of satisfiability modulo theories (SMT), Bj{\o}rner et al. initiated a research programme advocating Horn constraints as a suitable basis for automatic program verification. The notion of first-order constrained…

Programming Languages · Computer Science 2019-02-25 Long Pham , Steven J. Ramsay , C. -H. Luke Ong

We address the problem of verifying automatically procedural programs manipulating parametric-size arrays of integers, encoded as a constrained Horn clauses solving problem. We propose a new algorithmic method for synthesizing loop…

Programming Languages · Computer Science 2025-05-23 Ahmed Bouajjani , Wael-Amine Boutglay , Peter Habermehl

We present a method for the automated verification of temporal properties of infinite state systems. Our verification method is based on the specialization of constraint logic programs (CLP) and works in two phases: (1) in the first phase,…

Logic in Computer Science · Computer Science 2015-03-19 Fabio Fioravanti , Alberto Pettorossi , Maurizio Proietti , Valerio Senni

Recent work on loglinear models in probabilistic constraint logic programming is applied to first-order probabilistic reasoning. Probabilities are defined directly on the proofs of atomic formulae, and by marginalisation on the atomic…

Artificial Intelligence · Computer Science 2013-01-30 James Cussens

The constraint satisfaction problem (CSP) involves deciding, given a set of variables and a set of constraints on the variables, whether or not there is an assignment to the variables satisfying all of the constraints. One formulation of…

Computational Complexity · Computer Science 2017-01-09 Hubie Chen , Benoit Larose

Concurrent Constraint Programming (CCP) is a simple and powerful model for concurrency where agents interact by telling and asking constraints. Since their inception, CCP-languages have been designed for having a strong connection to logic.…

Logic in Computer Science · Computer Science 2020-02-19 Elaine Pimentel , Carlos Olarte , Vivek Nigam

CLP(H) is an instantiation of the general constraint logic programming scheme with the constraint domain of hedges. Hedges are finite sequences of unranked terms, built over variadic function symbols and three kinds of variables: for terms,…

Logic in Computer Science · Computer Science 2016-08-08 Besik Dundua , Mário Florido , Temur Kutsia , Mircea Marin

Constraint satisfaction problems (CSPs) are a natural class of decision problems where one must decide whether there is an assignment to variables that satisfies a given formula. Schaefer's dichotomy theorem, and its extension to all…

Quantum Physics · Physics 2025-02-27 Eric Culf , Kieran Mastel

Constrained Horn Clauses (CHCs) are often used in automated program verification. Thus, techniques for (dis-)proving satisfiability of CHCs are a very active field of research. On the other hand, acceleration techniques for computing…

Logic in Computer Science · Computer Science 2023-07-17 Florian Frohn , Jürgen Giesl

This paper describes an extension to the constraint satisfaction problem (CSP) called MUSE CSP (MUltiply SEgmented Constraint Satisfaction Problem). This extension is especially useful for those problems which segment into multiple sets of…

Artificial Intelligence · Computer Science 2014-11-17 R. A Helzerman , M. P. Harper

We present the CIFF proof procedure for abductive logic programming with constraints, and we prove its correctness. CIFF is an extension of the IFF proof procedure for abductive logic programming, relaxing the original restrictions over…

Artificial Intelligence · Computer Science 2009-06-08 P. Mancarella , G. Terreni , F. Sadri , F. Toni , U. Endriss
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