Define an analog of unit resolution

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Let a multivalent clause have the form ?_j (x_j ∈ S_j) where each x_j has a finite domain D_xj and each S_j ⊂ D_xj.

Generalize the resolution algorithm to obtain a complete inference method for multivalent clauses, and prove completeness.

Define an analog of unit resolution.

Hints: a resolvent can be derived from several clauses. Resolving on x_j requires taking an intersection. Multivalent resolution can be used in dynamic backtracking methods.

Reference no: EM131168735

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