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What does it mean that propagation reaches a unique fixed point?

  • A.The propagators must always be applied in a fixed prescribed order
  • B.The result does not depend on the order propagators are applied
  • C.Only one solution to the problem can be reached from it
  • D.Exactly one variable is left with a singleton domain

Answer: B

Because each propagator only removes values that no solution could use, the final domains are the same whatever order the propagators run in, which means the implementation is free to schedule them for efficiency. Solution counts, singleton domains and prescribed orders are different matters. Confluence of a rewriting process, meaning the order does not affect the result, is what allows the scheduling to be treated purely as an optimisation.

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