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← Logic & PuzzlesAn 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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