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  • 标题:The #CSP Dichotomy is Decidable
  • 本地全文:下载
  • 作者:Martin Dyer ; David Richerby
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2011
  • 卷号:9
  • 页码:261-272
  • DOI:10.4230/LIPIcs.STACS.2011.261
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:Bulatov (2008) and Dyer and Richerby (2010) have established the following dichotomy for the counting constraint satisfaction problem (#CSP): for any constraint language Gamma, the problem of computing the number of satisfying assignments to constraints drawn from Gamma is either in FP or is #P-complete, depending on the structure of Gamma. The principal question left open by this research was whether the criterion of the dichotomy is decidable. We show that it is; in fact, it is in NP.
  • 关键词:constraint satisfaction problem; counting problems; complexity dichotomy; decidability
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