diff options
author | Son Ho | 2022-02-13 11:46:56 +0100 |
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committer | Son Ho | 2022-02-13 11:46:56 +0100 |
commit | cc6b7e1b4e32a41226aa0fb7e356a89f8904ef1a (patch) | |
tree | e05f7524a3155db6a93fee095e945fbc98da53ce | |
parent | 85028416e07c91a5c9bee3f7a38d463bbf9457f7 (diff) |
Add an invariant proof for insert_no_fail_s
Diffstat (limited to '')
-rw-r--r-- | tests/hashmap/Hashmap.Properties.fst | 60 |
1 files changed, 36 insertions, 24 deletions
diff --git a/tests/hashmap/Hashmap.Properties.fst b/tests/hashmap/Hashmap.Properties.fst index a59f297a..77bfaddb 100644 --- a/tests/hashmap/Hashmap.Properties.fst +++ b/tests/hashmap/Hashmap.Properties.fst @@ -1513,14 +1513,43 @@ let hash_map_insert_no_resize_fwd_back_lem_s t self key value = end end -(**** insert_no_resize: invariants *) +(**** insert_{no_fail,no_resize}: invariants *) + +let insert_post (#t : Type0) (hm : hash_map_slots_s_nes t) + (key : usize) (value : t) (hm' : hash_map_slots_s_nes t) : Type0 = + // The invariant is preserved + hash_map_slots_s_inv hm' /\ + // [key] maps to [value] + hash_map_slots_s_find hm' key == Some value /\ + // The other bindings are preserved + (forall k'. k' <> key ==> hash_map_slots_s_find hm' k' == hash_map_slots_s_find hm k') /\ + // The length is incremented, iff we inserted a new key + (match hash_map_slots_s_find hm key with + | None -> hash_map_slots_s_len hm' = hash_map_slots_s_len hm + 1 + | Some _ -> hash_map_slots_s_len hm' = hash_map_slots_s_len hm) + +val hash_map_insert_no_fail_s_lem + (#t : Type0) (hm : hash_map_slots_s_nes t) + (key : usize) (value : t) : + Lemma + (requires (hash_map_slots_s_inv hm)) + (ensures ( + let hm' = hash_map_insert_no_fail_s hm key value in + insert_post hm key value hm')) + +let hash_map_insert_no_fail_s_lem #t hm key value = + let len = length hm in + let i = hash_mod_key key len in + let slot = index hm i in + hash_map_insert_in_list_s_lem t len key value slot; + let slot' = hash_map_insert_in_list_s key value slot in + length_flatten_update hm i slot' val hash_map_insert_no_resize_s_lem (#t : Type0) (hm : hash_map_slots_s_nes t) (key : usize) (value : t) : Lemma - (requires ( - hash_map_slots_s_inv hm)) + (requires (hash_map_slots_s_inv hm)) (ensures ( match hash_map_insert_no_resize_s hm key value with | Fail -> @@ -1529,29 +1558,12 @@ val hash_map_insert_no_resize_s_lem hash_map_slots_s_len hm = usize_max /\ None? (hash_map_slots_s_find hm key) | Return hm' -> - // The invariant is preserved - hash_map_slots_s_inv hm' /\ - // [key] maps to [value] - hash_map_slots_s_find hm' key == Some value /\ - // The other bindings are preserved - (forall k'. k' <> key ==> hash_map_slots_s_find hm' k' == hash_map_slots_s_find hm k') /\ - // The length is incremented, iff we inserted a new key - (match hash_map_slots_s_find hm key with - | None -> hash_map_slots_s_len hm' = hash_map_slots_s_len hm + 1 - | Some _ -> hash_map_slots_s_len hm' = hash_map_slots_s_len hm))) + insert_post hm key value hm')) let hash_map_insert_no_resize_s_lem #t hm key value = let num_entries = length (flatten hm) in if None? (hash_map_slots_s_find hm key) && num_entries = usize_max then () - else - begin - let len = length hm in - let i = hash_mod_key key len in - let slot = index hm i in - hash_map_insert_in_list_s_lem t len key value slot; - let slot' = hash_map_insert_in_list_s key value slot in - length_flatten_update hm i slot' - end + else hash_map_insert_no_fail_s_lem hm key value (**** find after insert *) @@ -2913,7 +2925,7 @@ let rec hash_map_get_mut_in_list_back_lem #t key ls ret = (**** get_mut *) -val hash_map_get_mut_back_lem +val hash_map_get_mut_back_lem_refin (#t : Type0) (self : hash_map_t t{length self.hash_map_slots > 0}) (key : usize) (ret : t) : Lemma @@ -2924,7 +2936,7 @@ val hash_map_get_mut_back_lem | Return hm' -> hash_map_t_slots_v hm' == hash_map_insert_no_fail_s (hash_map_t_slots_v self) key ret)) -let hash_map_get_mut_back_lem #t self key ret = +let hash_map_get_mut_back_lem_refin #t self key ret = begin match hash_key_fwd key with | Fail -> () | Return i -> |