Constraint satisfaction problems over the integers with successor

Research output: Contribution to book/conference proceedings/anthology/reportConference contributionContributedpeer-review

Contributors

  • Manuel Bodirsky - , Institute of Algebra, TUD Dresden University of Technology (Author)
  • Barnaby Martin - , Middlesex University (Author)
  • Antoine Mottet - , École normale supérieure Paris-Saclay (Author)

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), 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.

Details

Original languageEnglish
Title of host publicationAutomata, Languages, and Programming - 42nd International Colloquium, ICALP 2015, Proceedings
EditorsMagnus M. Halldorsson, Naoki Kobayashi, Bettina Speckmann, Kazuo Iwama
PublisherSpringer Verlag
Pages256-267
Number of pages12
ISBN (print)9783662476710
Publication statusPublished - 2015
Peer-reviewedYes

Publication series

SeriesLecture Notes in Computer Science, Volume 9134
ISSN0302-9743

Conference

Title42nd International Colloquium on Automata, Languages and Programming, ICALP 2015
Duration6 - 10 July 2015
CityKyoto
CountryJapan

External IDs

ORCID /0000-0001-8228-3611/work/142241111

Keywords