diff options
Diffstat (limited to 'snapshots/hol4/lem/hol-lib/lem_map_extraScript.sml')
| -rw-r--r-- | snapshots/hol4/lem/hol-lib/lem_map_extraScript.sml | 72 |
1 files changed, 72 insertions, 0 deletions
diff --git a/snapshots/hol4/lem/hol-lib/lem_map_extraScript.sml b/snapshots/hol4/lem/hol-lib/lem_map_extraScript.sml new file mode 100644 index 00000000..57a258f8 --- /dev/null +++ b/snapshots/hol4/lem/hol-lib/lem_map_extraScript.sml @@ -0,0 +1,72 @@ +(*Generated by Lem from map_extra.lem.*) +open HolKernel Parse boolLib bossLib; +open lem_boolTheory lem_basic_classesTheory lem_functionTheory lem_assert_extraTheory lem_maybeTheory lem_listTheory lem_numTheory lem_setTheory lem_mapTheory; + +val _ = numLib.prefer_num(); + + + +val _ = new_theory "lem_map_extra" + + + +(*open import Bool Basic_classes Function Assert_extra Maybe List Num Set Map*) + +(* -------------------------------------------------------------------------- *) +(* find *) +(* -------------------------------------------------------------------------- *) + +(*val find : forall 'k 'v. MapKeyType 'k => 'k -> Map.map 'k 'v -> 'v*) +(*let find k m= match (lookup k m) with Just x -> x | Nothing -> failwith "Map_extra.find" end*) + + + +(* -------------------------------------------------------------------------- *) +(* from sets / domain / range *) +(* -------------------------------------------------------------------------- *) + + +(*val fromSet : forall 'k 'v. MapKeyType 'k => ('k -> 'v) -> set 'k -> Map.map 'k 'v*) +(*let fromSet f s= Set_helpers.fold (fun k m -> Map.insert k (f k) m) s Map.empty*) + +(* +assert fromSet_0: (fromSet succ (Set.empty : set nat) = Map.empty) +assert fromSet_1: (fromSet succ {(2:nat); 3; 4}) = Map.fromList [(2,3); (3, 4); (4, 5)] +*) + +(* -------------------------------------------------------------------------- *) +(* fold *) +(* -------------------------------------------------------------------------- *) + +(*val fold : forall 'k 'v 'r. MapKeyType 'k, SetType 'k, SetType 'v => ('k -> 'v -> 'r -> 'r) -> Map.map 'k 'v -> 'r -> 'r*) +val _ = Define ` + ((fold:('k -> 'v -> 'r -> 'r) ->('k,'v)fmap -> 'r -> 'r) f m v= (ITSET (\ (k, v) r . f k v r) (FMAP_TO_SET m) v))`; + + +(* +assert fold_1: (fold (fun k v a -> (a+k)) (Map.fromList [((2:nat),(3:nat)); (3, 4); (4, 5)]) 0 = 9) +assert fold_2: (fold (fun k v a -> (a+v)) (Map.fromList [((2:nat),(3:nat)); (3, 4); (4, 5)]) 0 = 12) +*) + +(*val toList: forall 'k 'v. MapKeyType 'k => Map.map 'k 'v -> list ('k * 'v)*) +(* declare compile_message toList = "Map_extra.toList is only defined for the ocaml, isabelle and coq backend" *) + +(* more 'map' functions *) + +(* TODO: this function is in map_extra rather than map just for implementation reasons *) +(*val mapMaybe : forall 'a 'b 'c. MapKeyType 'a => ('a -> 'b -> Maybe.maybe 'c) -> Map.map 'a 'b -> Map.map 'a 'c*) +(* OLD: TODO: mapMaybe depends on toList that is not defined for hol and isabelle *) +val _ = Define ` + ((option_map:('a -> 'b -> 'c option) ->('a,'b)fmap ->('a,'c)fmap) f m= + (FOLDL + (\ m' (k, v) . + (case f k v of + NONE => m' + | SOME v' =>m' |+ (k, v') + )) + FEMPTY + (MAP_TO_LIST m)))`; + + +val _ = export_theory() + |
