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A Characterisation of First-Order Constraint Satisfaction Problems
Seattle, Washington August 12-August 15
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/LICS.2006.621st Annual IEEE Symposium on Logic i ...
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Benoit Larose, Concordia University, Canada
Cynthia Loten, Royal Military College of Canada, Canada
Claude Tardif, Royal Military College of Canada, Canada
We characterise finite relational core structures admitting finitely many obstructions, in terms of special nearunanimity functions, and in terms of dismantling properties of their square. As a consequence, we show that it is decidable to determine whether a constraint satisfaction problem is first-order definable: we show the general problem to be NP-complete, and give a polynomial-time algorithm in the case of cores.
Citation:
Benoit Larose, Cynthia Loten, Claude Tardif, "A Characterisation of First-Order Constraint Satisfaction Problems," lics, pp.201-210, 21st Annual IEEE Symposium on Logic in Computer Science (LICS'06), 2006
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