21st Annual IEEE Symposium on Logic in Computer Science (LICS'06)
A Characterisation of First-Order Constraint Satisfaction Problems
Seattle, Washington
August 12-August 15
ISBN: 0-7695-2631-4
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