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What is a decision variable in a satisfiability search?

  • A.One appearing in the largest number of clauses
  • B.One whose value determines the satisfiability of the formula
  • C.One that has been assigned by the pure symbol rule
  • D.One assigned by choice rather than forced by propagation

Answer: D

The search alternates between forced assignments, which need no backtracking point, and chosen ones, which do, and only the decisions form the backtracking structure. Frequency, criticality and pure symbols are different notions, though the pure symbol rule also gives a forced assignment. Separating what is inferred from what is guessed is what makes the backtracking structure minimal and the conflict analysis meaningful.

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