Dr. Ahmed G. Abo-Khalil

Electrical Engineering Department

bivalence

In logic, the semantic principle (or law) of bivalence states that every declarative sentence expressing a proposition (of a theory under inspection) has exactly one truth value, either true or false.[1][2] A logic satisfying this principle is called a two-valued logic[3] or bivalent logic.[2][4]

In formal logic, the principle of bivalence becomes a property that a semantics may or may not possess. It is not the same as the law of excluded middle, however, and a semantics may satisfy that law without being bivalent.[2] It may be written in the second-order sentence as: forall P,forall x (x in P lor x 
otin P), demonstrating similarity yet differing mainly by quantified set elements.

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