Discussion
What is a sudoku puzzle as a constraint problem?
Answer: C
The natural model gives each cell a variable over the digits, with twenty seven all different constraints for the rows, columns and boxes, and arc consistency on those global constraints solves most published puzzles without any search. Permutation and whole grid models propagate far worse, and inverting cells and digits is awkward. That a well modelled puzzle is solved by propagation alone is the clearest possible demonstration of what inference contributes.
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