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Logic & Puzzles

An automated theorem prover evaluates logical statements in a circuit design. Which outcome definitively indicates that a propositional formula is a tautology?

A)Formula evaluates to 'false' always
B)Formula evaluates to 'true' always
C)Formula simplification reduces to zero
D)Formula contains excessive negations

💡 Explanation

A tautology, by definition, is a propositional formula that is always true, regardless of the truth values of its propositional variables; therefore, a consistent 'true' evaluation indicates a tautology because the truth table method guarantees a 'true' result, rather than variable truth values or negations.

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