Live Quiz Arena
🎁 1 Free Round Daily
⚡ Enter ArenaQuestion
← Logic & PuzzlesIf 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.
🏆 Up to £1,000 monthly prize pool
Ready for the live challenge? Join the next global round now.
*Terms apply. Skill-based competition.
Related Questions
Browse Logic & Puzzles →- An engineer is designing a compiler that translates regular expressions into finite automata. If the regular expression contains nested quantifiers, which effect dominates during automaton construction?
- If a decision tree is excessively tailored to its training data, which consequence is most likely if you prune it?
- If a rule-based expert system attempts to prove a statement but its inference engine finds no applicable rule, which outcome will inevitably follow?
- In a rule-based expert system, which consequence follows if a knowledge base contains both '∀x: P(x) → Q(x)' and 'P(a)'?
- An engineer increases the gain of a linear amplifier in a hearing aid. Which effect dominates?
- If a CNF formula, representing constraints in a software configuration, contains a clause (A ∨ ¬A ∨ B), which simplification is directly applicable?
