Live Quiz Arena
🎁 1 Free Round Daily
⚡ Enter ArenaQuestion
← Logic & PuzzlesA digital circuit design, represented as a CNF formula, contains a clause (A ∨ ¬A). If using a SAT solver, which consequence follows?
A)Solver finds unsat quickly
B)Solver performs unit propagation
C)Solver branches indefinitely
D)Clause simplifies to true immediately✓
💡 Explanation
Because the clause (A ∨ ¬A) is always true regardless of the value of A, the entire clause simplifies to 'true' via the tautology elimination mechanism; therefore the solver can remove this clause immediately, rather than getting stuck or finding unsat situations with contradictory unit propagation elsewhere.
🏆 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 →- A cleaning robot navigates a warehouse, using a potential function to minimize travel. If the robot gets stuck in a local minimum, which behavior is most likely?
- If a CNF formula, representing constraints in a software configuration, contains a clause (A ∨ ¬A ∨ B), which simplification is directly applicable?
- If a RSA cryptosystem uses a modulus `n` that is the product of two distinct large prime numbers, which advantage does Fermat's Little Theorem provide in checking primality?
- If Alice sends Bob an encrypted message using RSA, which consequence directly follows from the properties of modular exponentiation?
- A robotic arm executes a sequence of movements. Positional error accumulates with each step. Which strategy best stabilizes the arm's trajectory?
- Which mechanism explains why a LALR(1) parser can parse all context-free languages generated by a formal grammar that allows for deterministic parsing with a one-token lookahead?
