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cs220/assets/why3/binary_search.mlw
2022-09-28 21:17:01 +09:00

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(* Binary search
A classical example. Searches a sorted array for a given value v.
Consult <https://gitlab.inria.fr/why3/why3/-/blob/master/examples/binary_search.mlw>.
*)
module BinarySearch
use import int.Int
use import int.ComputerDivision
use import ref.Ref
use import array.Array
let binary_search (a : array int) (v : int) : int
requires { forall i1 i2 : int. 0 <= i1 < i2 < length a -> a[i1] <= a[i2] }
ensures { 0 <= result <= length a }
ensures { forall i: int. 0 <= i < result -> a[i] < v }
ensures { result < length a -> a[result] >= v }
=
(* IMPORTANT: DON'T MODIFY THE ABOVE LINES *)
0 (* TODO *)
end