Revision ca7ff3f7
Added by Lélio Brun 7 months ago
| src/spec_common.ml | ||
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open Spec_types |
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(* a small reduction engine *) |
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let is_true = function |
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| True -> true |
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| _ -> false |
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let is_true = function True -> true | _ -> false |
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let is_false = function |
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| False -> true |
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| _ -> false |
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let is_false = function False -> true | _ -> false |
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let expr_eq: type a b. (a, left_v) expression_t -> (a, b) expression_t -> bool = |
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fun a b -> |
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let expr_eq : type a b. (a, left_v) expression_t -> (a, b) expression_t -> bool |
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= |
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fun a b -> |
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match a, b with |
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| Var x, Var y -> x = y |
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| Memory r1, Memory r2 -> r1 = r2 |
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| _ -> false |
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let rec red: type a. a formula_t -> a formula_t = function |
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| Var x, Var y -> |
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x = y |
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| Memory r1, Memory r2 -> |
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r1 = r2 |
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| _ -> |
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false |
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let rec red : type a. a formula_t -> a formula_t = function |
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| Equal (a, b) when expr_eq a b -> |
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True |
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| And l -> |
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let l' = List.filter_map (fun a -> |
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let a' = red a in |
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if is_true a' then None else Some a') l in |
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begin match l' with |
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| [] -> True |
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| [a] -> a |
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| l' when List.exists is_false l' -> False |
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| _ -> And l' |
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end |
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| Or l -> |
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let l' = List.filter_map (fun a -> |
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let a' = red a in |
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if is_false a' then None else Some a') l in |
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begin match l' with |
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| [] -> assert false |
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| [a] -> a |
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| l' when List.exists is_true l' -> True |
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| _ -> Or l' |
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end |
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| And l -> ( |
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let l' = |
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List.filter_map |
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(fun a -> |
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let a' = red a in |
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if is_true a' then None else Some a') |
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l |
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in |
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match l' with |
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| [] -> |
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True |
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| [ a ] -> |
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a |
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| l' when List.exists is_false l' -> |
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False |
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| _ -> |
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And l') |
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| Or l -> ( |
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let l' = |
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List.filter_map |
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(fun a -> |
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let a' = red a in |
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if is_false a' then None else Some a') |
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l |
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in |
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match l' with |
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| [] -> |
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assert false |
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| [ a ] -> |
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a |
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| l' when List.exists is_true l' -> |
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True |
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| _ -> |
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Or l') |
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| Imply (a, b) -> |
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let a' = red a in |
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let b' = red b in |
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if a' = b' || is_false a' || is_true b' then True |
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else if is_true a' && is_false b' then False |
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else Imply (a', b') |
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| Exists (x, p) -> |
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| Exists (x, p) -> ( |
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let p' = red p in |
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if is_true p' then True else begin match x with |
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| [] -> p' |
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| x -> Exists (x, p') |
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end |
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| Forall (x, p) -> |
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if is_true p' then True else match x with [] -> p' | x -> Exists (x, p')) |
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| Forall (x, p) -> ( |
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let p' = red p in |
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if is_true p' then True else begin match x with |
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| [] -> p' |
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| x -> Forall (x, p') |
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end |
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if is_true p' then True else match x with [] -> p' | x -> Forall (x, p')) |
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| Ternary (x, a, b) -> |
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let a' = red a in |
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let b' = red b in |
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Ternary (x, a', b') |
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| f -> f
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| f -> |
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f
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(* smart constructors *) |
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(* let mk_condition x l = |
| ... | ... | |
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let vals vs = List.map (fun v -> Val v) vs |
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let mk_pred_call pred = |
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Predicate pred |
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let mk_pred_call pred = Predicate pred |
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(* let mk_clocked_on id = |
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* mk_pred_call (Clocked_on id) *) |
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let mk_transition ?(mems=Utils.ISet.empty) ?r ?i ?inst id inputs locals outputs = |
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let mk_transition ?(mems = Utils.ISet.empty) ?r ?i ?inst id inputs locals |
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outputs = |
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let tr = |
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mk_pred_call |
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(Transition (id, inst, i, vals inputs, vals locals, vals outputs, |
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(match r with Some _ -> true | None -> false), mems)) in |
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(match r, inst with |
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| Some r, Some inst -> |
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ExistsMem (id, mk_pred_call (Reset (id, inst, r)), tr) |
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| _ -> |
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tr) |
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let mk_memory_pack ?i ?inst id = |
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mk_pred_call (MemoryPack (id, inst, i)) |
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let mk_state_variable_pack x = |
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StateVarPack (StateVar x) |
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let mk_state_assign_tr x v = |
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Equal (Memory (StateVar x), Val v) |
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let mk_conditional_tr v t f = |
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Ternary (Val v, t, f) |
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(Transition |
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( id, |
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inst, |
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i, |
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vals inputs, |
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vals locals, |
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vals outputs, |
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(match r with Some _ -> true | None -> false), |
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mems )) |
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in |
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match r, inst with |
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| Some r, Some inst -> |
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ExistsMem (id, mk_pred_call (Reset (id, inst, r)), tr) |
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| _ -> |
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tr |
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let mk_memory_pack ?i ?inst id = mk_pred_call (MemoryPack (id, inst, i)) |
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let mk_state_variable_pack x = StateVarPack (StateVar x) |
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let mk_state_assign_tr x v = Equal (Memory (StateVar x), Val v) |
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let mk_conditional_tr v t f = Ternary (Val v, t, f) |
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let mk_branch_tr x hl = |
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And (List.map (fun (t, spec) -> Imply (Equal (Var x, Tag t), spec)) hl) |
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let mk_assign_tr x v = |
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Equal (Var x, Val v) |
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let mk_assign_tr x v = Equal (Var x, Val v) |
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