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What is a local search approach to satisfiability?

  • A.Flipping variables in a complete assignment to reduce violations
  • B.Searching only a local region of the clause set at a time
  • C.Assigning variables in the order they appear in the formula
  • D.Solving each of the clauses independently before combining the results

Answer: A

Algorithms such as WalkSAT start from a random complete assignment and repeatedly flip a variable from an unsatisfied clause, mixing greedy and random choices. They solve very large satisfiable instances quickly and can never prove unsatisfiability. The other options describe unrelated procedures. The same division between complete systematic methods and incomplete local ones, with the same asymmetry about proving absence, appears here as in every other search setting.

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