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Logic & Puzzles

If a digital circuit design system falsely validates an AND gate as equivalent to an OR gate, which logical property has been violated?

A)Predicate completeness holds true
B)Quantifier elimination remains valid
C)Soundness within the proof system
D)Inference rules still guarantee validity

💡 Explanation

The system violates soundness because a sound system guarantees that every provable statement is also true in the underlying model. Therefore, the proof system incorrectly identifies equivalence, rather than maintaining its established properties of the gates.

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