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From local to global consistency. (English) Zbl 0762.68053
Summary: In reasoning tasks involving the maintenance of consistent databases (so- called QQconstraint networks/\(Q\)/\(Q\)), it is customary to enforce local consistency conditions in order to simplify the subsequent construction of a globally coherent model of the data.
We present a relationship between the sizes of the variables’ domains, the constraints’ arity and the level of local consistency sufficient to ensure global consistency. Based on these parameters a new tractability classification of constraint networks is presented. We also show, based on this relationship, that any relation on bi-valued variables which is not representable by a network of binary constraints cannot be represented by networks with any number of hidden variables.

68T15 Theorem proving (deduction, resolution, etc.) (MSC2010)
68T30 Knowledge representation
68T35 Theory of languages and software systems (knowledge-based systems, expert systems, etc.) for artificial intelligence
Full Text: DOI
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