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Constraint satisfaction problems over the integers with successor.

Bodirsky, Manuel and Martin, Barnaby and Mottet, Antoine (2015) 'Constraint satisfaction problems over the integers with successor.', in Automata, languages, and programming : 42nd International Colloquium, ICALP 2015, Kyoto, Japan, July 6-10, 2015. Proceedings. Part I. Berlin: Springer, pp. 256-267. Lecture notes in computer science. (9134).

Abstract

A distance constraint satisfaction problem is a constraint satisfaction problem (CSP) whose constraint language consists of relations that are first-order definable over (Z;succ)(Z;succ), i.e., over the integers with the successor function. Our main result says that every distance CSP is in P or NP-complete, unless it can be formulated as a finite domain CSP in which case the computational complexity is not known in general.

Item Type:Book chapter
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1007/978-3-662-47672-7_21
Publisher statement:The final publication is available at Springer via https://doi.org/10.1007/978-3-662-47672-7_21
Date accepted:04 April 2015
Date deposited:17 October 2016
Date of first online publication:20 June 2015
Date first made open access:No date available

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