Abstract Domains in Constraint Programming
  • Author : Marie Pelleau
  • Release Date : 20 May 2015
  • Publisher : Elsevier
  • Genre : Computers
  • Pages : 176
  • ISBN 13 : 9780081004647

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Book excerpt: Constraint Programming aims at solving hard combinatorial problems, with a computation time increasing in practice exponentially. The methods are today efficient enough to solve large industrial problems, in a generic framework. However, solvers are dedicated to a single variable type: integer or real. Solving mixed problems relies on ad hoc transformations. In another field, Abstract Interpretation offers tools to prove program properties, by studying an abstraction of their concrete semantics, that is, the set of possible values of the variables during an execution. Various representations for these abstractions have been proposed. They are called abstract domains. Abstract domains can mix any type of variables, and even represent relations between the variables. In this work, we define abstract domains for Constraint Programming, so as to build a generic solving method, dealing with both integer and real variables. We also study the octagons abstract domain, already defined in Abstract Interpretation. Guiding the search by the octagonal relations, we obtain good results on a continuous benchmark. We also define our solving method using Abstract Interpretation techniques, in order to include existing abstract domains. Our solver, AbSolute, is able to solve mixed problems and use relational domains. Exploits the over-approximation methods to integrate AI tools in the methods of CP Exploits the relationships captured to solve continuous problems more effectively Learn from the developers of a solver capable of handling practically all abstract domains

Abstract Domains in Constraint Programming

Abstract Domains in Constraint Programming

Author : Marie Pelleau
Publisher : Elsevier
Genre : Computers
Get Book

Constraint Programming aims at solving hard combinatorial problems, with a computation time increasing in practice exponentially. The methods are today efficient enough to solve large industrial problems, in a generic framework. However, solvers are dedicated to a single variable type: integer or real. Solving mixed problems relies on ad hoc ...

Abstract Domains in Constraint Programming

Abstract Domains in Constraint Programming

Author : Marie Pelleau
Publisher : Wiley-ISTE
Genre : Computers
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This text describes the functions and methodology of abstract domains in constraint programming that apply to both integer and real variables. After a broad assessment of constraint programming, the book covers octagons abstract domain, abstract interpretation techniques, and the application of AbSolute to solve mixed problems and use relational domains. ...

Abstract Domains in Constraint Programming

Abstract Domains in Constraint Programming

Author : Marie Pelleau
Publisher : Elsevier
Genre : Uncategorized
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Constraint Programming aims at solving hard combinatorial problems, with a computation time increasing in practice exponentially. The methods are today efficient enough to solve large industrial problems, in a generic framework. However, solvers are dedicated to a single variable type: integer or real. Solving mixed problems relies on ad hoc ...

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Publisher : Springer
Genre : Mathematics
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Publisher : Springer
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This book constitutes the proceedings of the 24th International Conference on Principles and Practice of Constraint Programming, CP 2018, held in Lille, France, in August 2018.The 41 full and 9 short papers presented in this volume were carefully reviewed and selected from 114 submissions. They deal with all aspects of computing with constraints including ...

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Coordinating production across a supply chain, designing a new VLSI chip, allocating classrooms or scheduling maintenance crews at an airport are just a few examples of complex (combinatorial) problems that can be modeled as a set of decision variables whose values are subject to a set of constraints. The decision ...