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by fdupress
1453 days ago
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Every time somebody proves that a sorting algorithm sorts, they forget to prove that the algorithm doesn't just drop values or fill the entire array with 0s (with fixed-length arrays, as here). On paper: "it's just swaps"
Formally: "how do I even specify this?" (For every value e of the element type original array and the final array have the same number of occurrences of e. Show that that's transitive, and show it's preserved by swap.) |
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