Boolean algebra | Theorems in propositional logic | Theorems in lattice theory

Consensus theorem

In Boolean algebra, the consensus theorem or rule of consensus is the identity: The consensus or resolvent of the terms and is . It is the conjunction of all the unique literals of the terms, excluding the literal that appears unnegated in one term and negated in the other. If includes a term which is negated in (or vice versa), the consensus term is false; in other words, there is no consensus term. The conjunctive dual of this equation is: (Wikipedia).

Consensus theorem
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Related pages

Propositional calculus | Resolution (logic) | Conjunction elimination | De Morgan's laws | Blake canonical form