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author | Son Ho | 2024-06-04 13:52:44 +0200 |
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committer | Son Ho | 2024-06-04 13:52:44 +0200 |
commit | 3ad6c4712fd41efec55f29af5ccc31f68a0e12cf (patch) | |
tree | 89f3b6999e1697595f1c3fbb2d9c4d8c60a69e49 /tests/fstar/hashmap/Hashmap.Properties.fst | |
parent | 2a7a18d6a07ea4967ba9ec0763e6b7d04849dc7e (diff) | |
parent | 4a31acdff7a5dfdc26bf25ad25bb8266b790f891 (diff) |
Merge branch 'main' into son/loops2
Diffstat (limited to 'tests/fstar/hashmap/Hashmap.Properties.fst')
-rw-r--r-- | tests/fstar/hashmap/Hashmap.Properties.fst | 48 |
1 files changed, 48 insertions, 0 deletions
diff --git a/tests/fstar/hashmap/Hashmap.Properties.fst b/tests/fstar/hashmap/Hashmap.Properties.fst new file mode 100644 index 00000000..ed118c46 --- /dev/null +++ b/tests/fstar/hashmap/Hashmap.Properties.fst @@ -0,0 +1,48 @@ +(** Properties about the hashmap written on disk *) +module Hashmap.Properties +open Primitives +open Hashmap.Funs + +#set-options "--z3rlimit 50 --fuel 0 --ifuel 1" + +/// Below, we focus on the functions to read from disk/write to disk to showcase +/// how such reasoning which mixes opaque functions together with a state-error +/// monad can be performed. + +(*** Hypotheses *) + +/// [state_v] gives us the hash map currently stored on disk +assume +val state_v : state -> hashMap_t u64 + +/// [serialize] updates the hash map stored on disk +assume +val serialize_lem (hm : hashMap_t u64) (st : state) : Lemma ( + match utils_serialize hm st with + | Fail _ -> True + | Ok (st', ()) -> state_v st' == hm) + [SMTPat (utils_serialize hm st)] + +/// [deserialize] gives us the hash map stored on disk, without updating it +assume +val deserialize_lem (st : state) : Lemma ( + match utils_deserialize st with + | Fail _ -> True + | Ok (st', hm) -> hm == state_v st /\ st' == st) + [SMTPat (utils_deserialize st)] + +(*** Lemmas *) + +/// The obvious lemma about [insert_on_disk]: the updated hash map stored on disk +/// is exactly the hash map produced from inserting the binding ([key], [value]) +/// in the hash map previously stored on disk. +val insert_on_disk_lem (key : usize) (value : u64) (st : state) : Lemma ( + match insert_on_disk key value st with + | Fail _ -> True + | Ok (st', ()) -> + let hm = state_v st in + match hashMap_insert u64 hm key value with + | Fail _ -> False + | Ok hm' -> hm' == state_v st') + +let insert_on_disk_lem key value st = () |