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2 commits

Author SHA1 Message Date
Kim Morrison
16bd7ea455
chore: deprecate List.iota (#6708)
This PR deprecates `List.iota`, which we make no essential use of. `iota
n` can be replaced with `(range' 1 n).reverse`. The verification lemmas
for `range'` already have better coverage than those for `iota`.
Any downstream projects using it (I am not aware of any) are encouraged
to adopt it.
2025-01-21 02:32:35 +00:00
Kim Morrison
4aa74d9c0b
feat: List.mergeSort (#5092)
Defines `mergeSort`, a naive stable merge sort algorithm, replaces it
via a `@[csimp]` lemma with something faster at runtime, and proves the
following results:

* `mergeSort_sorted`: `mergeSort` produces a sorted list.
* `mergeSort_perm`: `mergeSort` is a permutation of the input list.
* `mergeSort_of_sorted`: `mergeSort` does not change a sorted list.
* `mergeSort_cons`: proves `mergeSort le (x :: xs) = l₁ ++ x :: l₂` for
some `l₁, l₂`
so that `mergeSort le xs = l₁ ++ l₂`, and no `a ∈ l₁` satisfies `le a
x`.
* `mergeSort_stable`: if `c` is a sorted sublist of `l`, then `c` is
still a sublist of `mergeSort le l`.
2024-08-20 06:32:52 +00:00