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Handbook of Automated Reasoning by Andrei Voronkov, Alan J.A. Robinson

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5 Signed resolution

Given the concept of clauses as presented in Definition 4.7, the classical resolution principle of [Robinson 1965] is straightforwardly generalized to many-valued logic. Different variants of many-valued resolution appear in the literature. Below, we describe a first-order version of “signed resolution” as defined, e.g., in [Hähnle 1994c ].

5.1 Inference rules

The conclusion of the following inference rule:

{ S : P } C 1 { R : Q } C 2 ( { S R : P } C 1 C 2 ) σ binary resolution

si156_e

is called a binary resolvent of the variable disjoint parent clauses ...

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