
arXiv: 1503.08572
A discrete temporal constraint satisfaction problem is a constraint satisfaction problem (CSP) over the set of integers whose constraint language consists of relations that are first-order definable over the order of the integers. We prove that every discrete temporal 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.
FOS: Computer and information sciences, Discrete linear orders, Successor relation, Mathematics - Logic, Computational Complexity (cs.CC), Computer Science - Computational Complexity, Presburger arithmetic, Endomorphisms, FOS: Mathematics, Integers, F.4.1, Polymorphisms, Logic (math.LO), 03C99
FOS: Computer and information sciences, Discrete linear orders, Successor relation, Mathematics - Logic, Computational Complexity (cs.CC), Computer Science - Computational Complexity, Presburger arithmetic, Endomorphisms, FOS: Mathematics, Integers, F.4.1, Polymorphisms, Logic (math.LO), 03C99
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