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What is the relationship between constraint satisfaction and satisfiability?

  • A.Constraint problems are a special case of the satisfiability problems
  • B.Satisfiability applies only to problems with global constraints
  • C.Boolean satisfiability is the special case with two valued domains
  • D.The two frameworks are unrelated and share no techniques

Answer: C

A propositional formula is a constraint problem whose variables are boolean and whose constraints are clauses, so the two literatures address the same territory from different directions and share unit propagation, clause learning and restarts. Neither is strictly a special case of the other in practice, since each has developed its own encodings. Recognising two communities working on the same problem is what allows techniques to be transferred between them.

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