Discussion
What does it mean that a puzzle requires search?
Answer: A
When propagation reaches its fixed point with some domains still holding several values, the solver must assume a value and see whether it leads to a contradiction, which is exactly the case analysis a human solver resorts to. Multiple solutions, contradictions and bugs are different situations. The boundary between what deduction settles and what requires assumption is precisely the boundary between inference and search, and seeing it in a familiar puzzle makes it concrete.
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