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let rec unused_vars = function | Var _ | I _ | B _ -> [] | If (e, e1, e2) -> unused_vars e @ unused_vars e1 @ unused_vars e2 | Primop (_, args) -> List.fold_left (fun acc exp -> acc @ unused_vars exp) [] args | Let (x, e1, e2) -> let unused = unused_vars e1 @ unused_vars e2 in if List.mem x (free_variables e2) then unu... |
let rec subst ((e', x) as s) exp = match exp with | Var y -> if x = y then e' else Var y | I n -> I n | B b -> B b | Primop (po, args) -> Primop (po, List.map (subst s) args) | If (e, e1, e2) -> If (subst s e, subst s e1, subst s e2) | Let (y, e1, e2) -> let e1' = subst s e1 in if y = x then Let (y, e1', e2) else let (... |
let rec eval exp = match exp with | I _ -> exp | B _ -> exp | Fn _ -> exp | Var x -> raise (Stuck (Free_variable x)) | Primop (po, args) -> let args = List.map eval args in begin match eval_op po args with | None -> raise (Stuck Bad_primop_args) | Some v -> v end | If (e, e1, e2) -> begin match eval e with | B true -> ... |
let rec infer ctx e = match e with | Var x -> begin try lookup x ctx with Not_found -> raise (TypeError (Free_variable x)) end | I _ -> Int | B _ -> Bool | Primop (po, exps) -> let (domain, range) = primopType po in check ctx exps domain range | If (e, e1, e2) -> begin match infer ctx e with | Bool -> let t1 = infer ct... |
let unify : utp -> utp -> utp UTVarMap.t = let rec unify (substitution : utp UTVarMap.t) (t1 : utp) (t2 : utp) : utp UTVarMap.t = match t1, t2 with | UInt, UInt | UBool, UBool -> substitution | UTVar a, UTVar a' when a = a' -> substitution | UArrow (t1, t1'), UArrow (t2, t2') -> begin if (t1, t1') = (t2, t2') then subs... |
let rec unused_vars = function | Var _ | I _ | B _ -> [] | If (e, e1, e2) -> unused_vars e @ unused_vars e1 @ unused_vars e2 | Primop (_, args) -> List.fold_left (fun acc exp -> acc @ unused_vars exp) [] args | Let (x, e1, e2) -> let unused = unused_vars e1 @ unused_vars e2 in if List.mem x (free_variables e2) then unu... |
let rec subst ((e', x) as s) exp = match exp with | Var y -> if x = y then e' else Var y | I n -> I n | B b -> B b | Primop (po, args) -> Primop (po, List.map (subst s) args) | If (e, e1, e2) -> If (subst s e, subst s e1, subst s e2) | Let (y, e1, e2) -> let e1' = subst s e1 in if y = x then Let (y, e1', e2) else let (... |
let rec eval exp = match exp with | I _ -> exp | B _ -> exp | Fn _ -> exp | Var x -> raise (Stuck (Free_variable x)) | Primop (po, args) -> let args = List.map eval args in begin match eval_op po args with | None -> raise (Stuck Bad_primop_args) | Some v -> v end | If (e, e1, e2) -> begin match eval e with | B true -> ... |
let rec infer ctx e = match e with | Var x -> begin try lookup x ctx with Not_found -> raise (TypeError (Free_variable x)) end | I _ -> Int | B _ -> Bool | Primop (po, exps) -> let (domain, range) = primopType po in check ctx exps domain range | If (e, e1, e2) -> begin match infer ctx e with | Bool -> let t1 = infer ct... |
let unify : utp -> utp -> utp UTVarMap.t = let rec unify (substitution : utp UTVarMap.t) (t1 : utp) (t2 : utp) : utp UTVarMap.t = match t1, t2 with | UInt, UInt | UBool, UBool -> substitution | UTVar a, UTVar a' when a = a' -> substitution | UArrow (t1, t1'), UArrow (t2, t2') -> raise NotImplemented | UTVar a, _ -> uni... |
let rec unused_vars = function | Var _ | I _ | B _ -> [] | If (e, e1, e2) -> unused_vars e @ unused_vars e1 @ unused_vars e2 | Primop (_, args) -> List.fold_left (fun acc exp -> acc @ unused_vars exp) [] args | Let (x, e1, e2) -> let unused = unused_vars e1 @ unused_vars e2 in if List.mem x (free_variables e2) then unu... |
let rec subst ((e', x) as s) exp = match exp with | Var y -> if x = y then e' else Var y | I n -> I n | B b -> B b | Primop (po, args) -> Primop (po, List.map (subst s) args) | If (e, e1, e2) -> If (subst s e, subst s e1, subst s e2) | Let (y, e1, e2) -> let e1' = subst s e1 in if y = x then Let (y, e1', e2) else let (... |
let rec eval exp = match exp with | I _ -> exp | B _ -> exp | Fn _ -> exp | Var x -> raise (Stuck (Free_variable x)) | Primop (po, args) -> let args = List.map eval args in begin match eval_op po args with | None -> raise (Stuck Bad_primop_args) | Some v -> v end | If (e, e1, e2) -> begin match eval e with | B true -> ... |
let rec infer ctx e = match e with | Var x -> begin try lookup x ctx with Not_found -> raise (TypeError (Free_variable x)) end | I _ -> Int | B _ -> Bool | Primop (po, exps) -> let (domain, range) = primopType po in check ctx exps domain range | If (e, e1, e2) -> begin match infer ctx e with | Bool -> let t1 = infer ct... |
let unify : utp -> utp -> utp UTVarMap.t = let rec unify (substitution : utp UTVarMap.t) (t1 : utp) (t2 : utp) : utp UTVarMap.t = match t1, t2 with | UInt, UInt | UBool, UBool -> substitution | UTVar a, UTVar a' when a = a' -> substitution | UArrow (t1, t1'), UArrow (t2, t2') -> let sub_t = unify substitution t1 t2 in ... |
let rec unused_vars = function | Var _ | I _ | B _ -> [] | If (e, e1, e2) -> unused_vars e @ unused_vars e1 @ unused_vars e2 | Primop (_, args) -> List.fold_left (fun acc exp -> acc @ unused_vars exp) [] args | Let (x, e1, e2) -> let unused = unused_vars e1 @ unused_vars e2 in if List.mem x (free_variables e2) then unu... |
let rec subst ((e', x) as s) exp = match exp with | Var y -> if x = y then e' else Var y | I n -> I n | B b -> B b | Primop (po, args) -> Primop (po, List.map (subst s) args) | If (e, e1, e2) -> If (subst s e, subst s e1, subst s e2) | Let (y, e1, e2) -> let e1' = subst s e1 in if y = x then Let (y, e1', e2) else let (... |
let rec eval exp = match exp with | I _ -> exp | B _ -> exp | Fn _ -> exp | Var x -> raise (Stuck (Free_variable x)) | Primop (po, args) -> let args = List.map eval args in begin match eval_op po args with | None -> raise (Stuck Bad_primop_args) | Some v -> v end | If (e, e1, e2) -> begin match eval e with | B true -> ... |
let rec infer ctx e = match e with | Var x -> begin try lookup x ctx with Not_found -> raise (TypeError (Free_variable x)) end | I _ -> Int | B _ -> Bool | Primop (po, exps) -> let (domain, range) = primopType po in check ctx exps domain range | If (e, e1, e2) -> begin match infer ctx e with | Bool -> let t1 = infer ct... |
let rec unused_vars = function | Var _ | I _ | B _ -> [] | If (e, e1, e2) -> unused_vars e @ unused_vars e1 @ unused_vars e2 | Primop (_, args) -> List.fold_left (fun acc exp -> acc @ unused_vars exp) [] args | Let (x, e1, e2) -> let unused = unused_vars e1 @ unused_vars e2 in if List.mem x (free_variables e2) then unu... |
let rec subst ((e', x) as s) exp = match exp with | Var y -> if x = y then e' else Var y | I n -> I n | B b -> B b | Primop (po, args) -> Primop (po, List.map (subst s) args) | If (e, e1, e2) -> If (subst s e, subst s e1, subst s e2) | Let (y, e1, e2) -> let e1' = subst s e1 in if y = x then Let (y, e1', e2) else let (... |
let rec eval exp = match exp with | I _ -> exp | B _ -> exp | Fn _ -> exp | Var x -> raise (Stuck (Free_variable x)) | Primop (po, args) -> let args = List.map eval args in begin match eval_op po args with | None -> raise (Stuck Bad_primop_args) | Some v -> v end | If (e, e1, e2) -> begin match eval e with | B true -> ... |
let rec infer ctx e = match e with | Var x -> begin try lookup x ctx with Not_found -> raise (TypeError (Free_variable x)) end | I _ -> Int | B _ -> Bool | Primop (po, exps) -> let (domain, range) = primopType po in check ctx exps domain range | If (e, e1, e2) -> begin match infer ctx e with | Bool -> let t1 = infer ct... |
let rec unused_vars = function | Var _ | I _ | B _ -> [] | If (e, e1, e2) -> unused_vars e @ unused_vars e1 @ unused_vars e2 | Primop (_, args) -> List.fold_left (fun acc exp -> acc @ unused_vars exp) [] args | Let (x, e1, e2) -> let unused = unused_vars e1 @ unused_vars e2 in if List.mem x (free_variables e2) then unu... |
let rec subst ((e', x) as s) exp = match exp with | Var y -> if x = y then e' else Var y | I n -> I n | B b -> B b | Primop (po, args) -> Primop (po, List.map (subst s) args) | If (e, e1, e2) -> If (subst s e, subst s e1, subst s e2) | Let (y, e1, e2) -> let e1' = subst s e1 in if y = x then Let (y, e1', e2) else let (... |
let rec infer ctx e = match e with | Var x -> begin try lookup x ctx with Not_found -> raise (TypeError (Free_variable x)) end | I _ -> Int | B _ -> Bool | Primop (po, exps) -> let (domain, range) = primopType po in check ctx exps domain range | If (e, e1, e2) -> begin match infer ctx e with | Bool -> let t1 = infer ct... |
let rec eval exp = match exp with | I _ -> exp | B _ -> exp | Fn _ -> exp | Var x -> raise (Stuck (Free_variable x)) | Primop (po, args) -> let args = List.map eval args in begin match eval_op po args with | None -> raise (Stuck Bad_primop_args) | Some v -> v end | If (e, e1, e2) -> begin match eval e with | B true -> ... |
let unify : utp -> utp -> utp UTVarMap.t = let rec unify (substitution : utp UTVarMap.t) (t1 : utp) (t2 : utp) : utp UTVarMap.t = match t1, t2 with | UInt, UInt | UBool, UBool -> substitution | UTVar a, UTVar a' when a = a' -> substitution | UArrow (t1, t1'), UArrow (t2, t2') -> unify substitution t1 t2; unify substitu... |
let rec unused_vars = function | Var _ | I _ | B _ -> [] | If (e, e1, e2) -> unused_vars e @ unused_vars e1 @ unused_vars e2 | Primop (_, args) -> List.fold_left (fun acc exp -> acc @ unused_vars exp) [] args | Let (x, e1, e2) -> let unused = unused_vars e1 @ unused_vars e2 in if List.mem x (free_variables e2) then unu... |
let rec subst ((e', x) as s) exp = match exp with | Var y -> if x = y then e' else Var y | I n -> I n | B b -> B b | Primop (po, args) -> Primop (po, List.map (subst s) args) | If (e, e1, e2) -> If (subst s e, subst s e1, subst s e2) | Let (y, e1, e2) -> let e1' = subst s e1 in if y = x then Let (y, e1', e2) else let (... |
let rec eval exp = match exp with | I _ -> exp | B _ -> exp | Fn _ -> exp | Var x -> raise (Stuck (Free_variable x)) | Primop (po, args) -> let args = List.map eval args in begin match eval_op po args with | None -> raise (Stuck Bad_primop_args) | Some v -> v end | If (e, e1, e2) -> begin match eval e with | B true -> ... |
let rec infer ctx e = match e with | Var x -> begin try lookup x ctx with Not_found -> raise (TypeError (Free_variable x)) end | I _ -> Int | B _ -> Bool | Primop (po, exps) -> let (domain, range) = primopType po in check ctx exps domain range | If (e, e1, e2) -> begin match infer ctx e with | Bool -> let t1 = infer ct... |
let unify : utp -> utp -> utp UTVarMap.t = let rec unify (substitution : utp UTVarMap.t) (t1 : utp) (t2 : utp) : utp UTVarMap.t = match t1, t2 with | UInt, UInt | UBool, UBool -> substitution | UTVar a, UTVar a' when a = a' -> substitution | UArrow (t1, t1'), UArrow (t2, t2') -> unify (unify substitution t1 t2) t1' t2'... |
let rec unused_vars = function | Var _ | I _ | B _ -> [] | If (e, e1, e2) -> unused_vars e @ unused_vars e1 @ unused_vars e2 | Primop (_, args) -> List.fold_left (fun acc exp -> acc @ unused_vars exp) [] args | Let (x, e1, e2) -> let unused = unused_vars e1 @ unused_vars e2 in if List.mem x (free_variables e2) then unu... |
let rec subst ((e', x) as s) exp = match exp with | Var y -> if x = y then e' else Var y | I n -> I n | B b -> B b | Primop (po, args) -> Primop (po, List.map (subst s) args) | If (e, e1, e2) -> If (subst s e, subst s e1, subst s e2) | Let (y, e1, e2) -> let e1' = subst s e1 in if y = x then Let (y, e1', e2) else let (... |
let rec eval exp = match exp with | I _ -> exp | B _ -> exp | Fn _ -> exp | Var x -> raise (Stuck (Free_variable x)) | Primop (po, args) -> let args = List.map eval args in begin match eval_op po args with | None -> raise (Stuck Bad_primop_args) | Some v -> v end | If (e, e1, e2) -> begin match eval e with | B true -> ... |
let rec infer ctx e = match e with | Var x -> begin try lookup x ctx with Not_found -> raise (TypeError (Free_variable x)) end | I _ -> Int | B _ -> Bool | Primop (po, exps) -> let (domain, range) = primopType po in check ctx exps domain range | If (e, e1, e2) -> begin match infer ctx e with | Bool -> let t1 = infer ct... |
let unify : utp -> utp -> utp UTVarMap.t = let rec unify (substitution : utp UTVarMap.t) (t1 : utp) (t2 : utp) : utp UTVarMap.t = match t1, t2 with | UInt, UInt | UBool, UBool -> substitution | UTVar a, UTVar a' when a = a' -> substitution | UArrow (t1, t1'), UArrow (t2, t2') -> unify (unify substitution t1 t2) t1' t2'... |
let rec unused_vars = function | Var _ | I _ | B _ -> [] | If (e, e1, e2) -> unused_vars e @ unused_vars e1 @ unused_vars e2 | Primop (_, args) -> List.fold_left (fun acc exp -> acc @ unused_vars exp) [] args | Let (x, e1, e2) -> let unused = unused_vars e1 @ unused_vars e2 in if List.mem x (free_variables e2) then unu... |
let rec subst ((e', x) as s) exp = match exp with | Var y -> if x = y then e' else Var y | I n -> I n | B b -> B b | Primop (po, args) -> Primop (po, List.map (subst s) args) | If (e, e1, e2) -> If (subst s e, subst s e1, subst s e2) | Let (y, e1, e2) -> let e1' = subst s e1 in if y = x then Let (y, e1', e2) else let (... |
let rec eval exp = match exp with | I _ -> exp | B _ -> exp | Fn _ -> exp | Var x -> raise (Stuck (Free_variable x)) | Primop (po, args) -> let args = List.map eval args in begin match eval_op po args with | None -> raise (Stuck Bad_primop_args) | Some v -> v end | If (e, e1, e2) -> begin match eval e with | B true -> ... |
let rec infer ctx e = match e with | Var x -> begin try lookup x ctx with Not_found -> raise (TypeError (Free_variable x)) end | I _ -> Int | B _ -> Bool | Primop (po, exps) -> let (domain, range) = primopType po in check ctx exps domain range | If (e, e1, e2) -> begin match infer ctx e with | Bool -> let t1 = infer ct... |
let unify : utp -> utp -> utp UTVarMap.t = let rec unify (substitution : utp UTVarMap.t) (t1 : utp) (t2 : utp) : utp UTVarMap.t = match t1, t2 with | UInt, UInt | UBool, UBool -> substitution | UTVar a, UTVar a' when a = a' -> substitution | UArrow (t1, t1'), UArrow (t2, t2') -> unify (unify substitution t1 t2) t1' t2'... |
let rec unused_vars = function | Var _ | I _ | B _ -> [] | If (e, e1, e2) -> unused_vars e @ unused_vars e1 @ unused_vars e2 | Primop (_, args) -> List.fold_left (fun acc exp -> acc @ unused_vars exp) [] args | Let (x, e1, e2) -> let unused = unused_vars e1 @ unused_vars e2 in if List.mem x (free_variables e2) then unu... |
let rec subst ((e', x) as s) exp = match exp with | Var y -> if x = y then e' else Var y | I n -> I n | B b -> B b | Primop (po, args) -> Primop (po, List.map (subst s) args) | If (e, e1, e2) -> If (subst s e, subst s e1, subst s e2) | Let (y, e1, e2) -> let e1' = subst s e1 in if y = x then Let (y, e1', e2) else let (... |
let rec eval exp = match exp with | I _ -> exp | B _ -> exp | Fn _ -> exp | Var x -> raise (Stuck (Free_variable x)) | Primop (po, args) -> let args = List.map eval args in begin match eval_op po args with | None -> raise (Stuck Bad_primop_args) | Some v -> v end | If (e, e1, e2) -> begin match eval e with | B true -> ... |
let rec infer ctx e = match e with | Var x -> begin try lookup x ctx with Not_found -> raise (TypeError (Free_variable x)) end | I _ -> Int | B _ -> Bool | Primop (po, exps) -> let (domain, range) = primopType po in check ctx exps domain range | If (e, e1, e2) -> begin match infer ctx e with | Bool -> let t1 = infer ct... |
let unify : utp -> utp -> utp UTVarMap.t = let rec unify (substitution : utp UTVarMap.t) (t1 : utp) (t2 : utp) : utp UTVarMap.t = match t1, t2 with | UInt, UInt | UBool, UBool -> substitution | UTVar a, UTVar a' when a = a' -> substitution | UArrow (t1, t1'), UArrow (t2, t2') -> raise NotImplemented | UTVar a, _ -> uni... |
let rec unused_vars = function | Var _ | I _ | B _ -> [] | If (e, e1, e2) -> unused_vars e @ unused_vars e1 @ unused_vars e2 | Primop (_, args) -> List.fold_left (fun acc exp -> acc @ unused_vars exp) [] args | Let (x, e1, e2) -> let unused = unused_vars e1 @ unused_vars e2 in if List.mem x (free_variables e2) then unu... |
let rec subst ((e', x) as s) exp = match exp with | Var y -> if x = y then e' else Var y | I n -> I n | B b -> B b | Primop (po, args) -> Primop (po, List.map (subst s) args) | If (e, e1, e2) -> If (subst s e, subst s e1, subst s e2) | Let (y, e1, e2) -> let e1' = subst s e1 in if y = x then Let (y, e1', e2) else let (... |
let rec eval exp = match exp with | I _ -> exp | B _ -> exp | Fn _ -> exp | Var x -> raise (Stuck (Free_variable x)) | Primop (po, args) -> let args = List.map eval args in begin match eval_op po args with | None -> raise (Stuck Bad_primop_args) | Some v -> v end | If (e, e1, e2) -> begin match eval e with | B true -> ... |
let rec infer ctx e = match e with | Var x -> begin try lookup x ctx with Not_found -> raise (TypeError (Free_variable x)) end | I _ -> Int | B _ -> Bool | Primop (po, exps) -> let (domain, range) = primopType po in check ctx exps domain range | If (e, e1, e2) -> begin match infer ctx e with | Bool -> let t1 = infer ct... |
let unify : utp -> utp -> utp UTVarMap.t = let rec unify (substitution : utp UTVarMap.t) (t1 : utp) (t2 : utp) : utp UTVarMap.t = match t1, t2 with | UInt, UInt | UBool, UBool -> substitution | UTVar a, UTVar a' when a = a' -> substitution | UArrow (t1, t1'), UArrow (t2, t2') -> raise NotImplemented | UTVar a, _ -> uni... |
let rec unused_vars = function | Var _ | I _ | B _ -> [] | If (e, e1, e2) -> unused_vars e @ unused_vars e1 @ unused_vars e2 | Primop (_, args) -> List.fold_left (fun acc exp -> acc @ unused_vars exp) [] args | Let (x, e1, e2) -> let unused = unused_vars e1 @ unused_vars e2 in if List.mem x (free_variables e2) then unu... |
let rec subst ((e', x) as s) exp = match exp with | Var y -> if x = y then e' else Var y | I n -> I n | B b -> B b | Primop (po, args) -> Primop (po, List.map (subst s) args) | If (e, e1, e2) -> If (subst s e, subst s e1, subst s e2) | Let (y, e1, e2) -> let e1' = subst s e1 in if y = x then Let (y, e1', e2) else let (... |
let rec eval exp = match exp with | I _ -> exp | B _ -> exp | Fn _ -> exp | Var x -> raise (Stuck (Free_variable x)) | Primop (po, args) -> let args = List.map eval args in begin match eval_op po args with | None -> raise (Stuck Bad_primop_args) | Some v -> v end | If (e, e1, e2) -> begin match eval e with | B true -> ... |
let rec infer ctx e = match e with | Var x -> begin try lookup x ctx with Not_found -> raise (TypeError (Free_variable x)) end | I _ -> Int | B _ -> Bool | Primop (po, exps) -> let (domain, range) = primopType po in check ctx exps domain range | If (e, e1, e2) -> begin match infer ctx e with | Bool -> let t1 = infer ct... |
let unify : utp -> utp -> utp UTVarMap.t = let rec unify (substitution : utp UTVarMap.t) (t1 : utp) (t2 : utp) : utp UTVarMap.t = match t1, t2 with | UInt, UInt | UBool, UBool -> substitution | UTVar a, UTVar a' when a = a' -> substitution | UArrow (t1, t1'), UArrow (t2, t2') -> raise NotImplemented | UTVar a, _ -> uni... |
let unused_vars_tests = [ (t1, ["y"]); (t2, []); (Apply(t2,[I 2; I 3]), []); (t3, ["y"]); (t4,["f"]) ] |
let subst_tests : (((exp * name) * exp) * exp) list = [ ( ( (I 2, "x"), (Let ("z", Var "x", Primop(Plus, [Var "z"; I 3])))), (Let ("z", I 2, Primop( Plus, [Var "z"; I 3])))); ( ( (I 5, "y"), t4), Fn([("x",Int)], Primop(Plus, [Var "x"; I 5]))); ( ( (I 4, "x"), t4), Fn([("x1",Int)], Primop(Plus, [Var "x1"; Var "y"]))); (... |
let eval_tests = [ (Let ("x", I 1, Primop (Plus, [Var "x"; I 5])), I 6); ((Apply(a2, [I 3; I 4])), I 7); ((Apply(r2, [I 4])), I 10); ((Apply(r2, [I 0])), I 0); (r2, Fn ([("x", Int)], If (Primop (LessThan, [Var "x"; I 0]), I 0, Let ("u", Primop (Minus, [Var "x"; I 1]), Primop (Plus, [Var "x"; Apply (Rec ("f", Arrow ([In... |
let infer_tests = [ (([("x", Int)], Var "x"), Int); ( ([],Fn([("x",Int)], Primop(Plus, [I 2; Var "x"]))), Arrow([Int],Int)); (([("y",Bool)], Fn([("x",Int);("z",Int)], If(Var "y", Var "x", Var "z"))), Arrow([Int;Int], Int) ); (([("x",Int);("y",Int)], Fn([], Primop(Plus, [Var "x";Var "y"]))), Arrow([],Int)); (([("z",Int)... |
let rec infer ctx e = match e with | Var x -> begin try lookup x ctx with Not_found -> raise (TypeError (Free_variable x)) end | I _ -> Int | B _ -> Bool | Primop (po, exps) -> let (domain, range) = primopType po in check ctx exps domain range | If (e, e1, e2) -> begin match infer ctx e with | Bool -> let t1 = infer ct... |
let rec unused_vars = function | Var _ | I _ | B _ -> [] | If (e, e1, e2) -> unused_vars e @ unused_vars e1 @ unused_vars e2 | Primop (_, args) -> List.fold_left (fun acc exp -> acc @ unused_vars exp) [] args | Let (x, e1, e2) -> let unused = unused_vars e1 @ unused_vars e2 in if List.mem x (free_variables e2) then unu... |
let rec subst ((e', x) as s) exp = let rec common_ele l1 l2 = match l1 with | [] -> [] | h :: t -> if List.mem h l2 then h :: common_ele t l2 else common_ele t l2 in match exp with | Var y -> if x = y then e' else Var y | I n -> I n | B b -> B b | Primop (po, args) -> Primop (po, List.map (subst s) args) | If (e, e1, e... |
let rec eval exp = match exp with | I _ -> exp | B _ -> exp | Fn _ -> exp | Var x -> raise (Stuck (Free_variable x)) | Primop (po, args) -> let args = List.map eval args in begin match eval_op po args with | None -> raise (Stuck Bad_primop_args) | Some v -> v end | If (e, e1, e2) -> begin match eval e with | B true -> ... |
let rec infer ctx e = match e with | Var x -> begin try lookup x ctx with Not_found -> raise (TypeError (Free_variable x)) end | I _ -> Int | B _ -> Bool | Primop (po, exps) -> let (domain, range) = primopType po in check ctx exps domain range | If (e, e1, e2) -> begin match infer ctx e with | Bool -> let t1 = infer ct... |
let unify : utp -> utp -> utp UTVarMap.t = let rec unify (substitution : utp UTVarMap.t) (t1 : utp) (t2 : utp) : utp UTVarMap.t = match t1, t2 with | UInt, UInt | UBool, UBool -> substitution | UTVar a, UTVar a' when a = a' -> substitution | UArrow (t1, t1'), UArrow (t2, t2') -> raise NotImplemented | UTVar a, _ -> uni... |
let rec unused_vars = function | Var _ | I _ | B _ -> [] | If (e, e1, e2) -> unused_vars e @ unused_vars e1 @ unused_vars e2 | Primop (_, args) -> List.fold_left (fun acc exp -> acc @ unused_vars exp) [] args | Let (x, e1, e2) -> let unused = unused_vars e1 @ unused_vars e2 in if List.mem x (free_variables e2) then unu... |
let rec subst ((e', x) as s) exp = match exp with | Var y -> if x = y then e' else Var y | I n -> I n | B b -> B b | Primop (po, args) -> Primop (po, List.map (subst s) args) | If (e, e1, e2) -> If (subst s e, subst s e1, subst s e2) | Let (y, e1, e2) -> let e1' = subst s e1 in if y = x then Let (y, e1', e2) else let (... |
let rec eval exp = match exp with | I _ -> exp | B _ -> exp | Fn _ -> exp | Var x -> raise (Stuck (Free_variable x)) | Primop (po, args) -> let args = List.map eval args in begin match eval_op po args with | None -> raise (Stuck Bad_primop_args) | Some v -> v end | If (e, e1, e2) -> begin match eval e with | B true -> ... |
let rec infer ctx e = match e with | Var x -> begin try lookup x ctx with Not_found -> raise (TypeError (Free_variable x)) end | I _ -> Int | B _ -> Bool | Primop (po, exps) -> let (domain, range) = primopType po in check ctx exps domain range | If (e, e1, e2) -> begin match infer ctx e with | Bool -> let t1 = infer ct... |
let unify : utp -> utp -> utp UTVarMap.t = let rec unify (substitution : utp UTVarMap.t) (t1 : utp) (t2 : utp) : utp UTVarMap.t = match t1, t2 with | UInt, UInt -> substitution | UBool, UBool -> substitution | UTVar a, UTVar a' when a = a' -> substitution | UArrow (t1, t1'), UArrow (t2, t2') -> let substitution' = unif... |
let rec unused_vars = function | Var _ | I _ | B _ -> [] | If (e, e1, e2) -> unused_vars e @ unused_vars e1 @ unused_vars e2 | Primop (_, args) -> List.fold_left (fun acc exp -> acc @ unused_vars exp) [] args | Let (x, e1, e2) -> let unused = unused_vars e1 @ unused_vars e2 in if List.mem x (free_variables e2) then unu... |
let rec subst ((e', x) as s) exp = match exp with | Var y -> if x = y then e' else Var y | I n -> I n | B b -> B b | Primop (po, args) -> Primop (po, List.map (subst s) args) | If (e, e1, e2) -> If (subst s e, subst s e1, subst s e2) | Let (y, e1, e2) -> let e1' = subst s e1 in if y = x then Let (y, e1', e2) else let (... |
let rec eval exp = match exp with | I _ -> exp | B _ -> exp | Fn _ -> exp | Var x -> raise (Stuck (Free_variable x)) | Primop (po, args) -> let args = List.map eval args in begin match eval_op po args with | None -> raise (Stuck Bad_primop_args) | Some v -> v end | If (e, e1, e2) -> begin match eval e with | B true -> ... |
let rec infer ctx e = match e with | Var x -> begin try lookup x ctx with Not_found -> raise (TypeError (Free_variable x)) end | I _ -> Int | B _ -> Bool | Primop (po, exps) -> let (domain, range) = primopType po in check ctx exps domain range | If (e, e1, e2) -> begin match infer ctx e with | Bool -> let t1 = infer ct... |
let unify : utp -> utp -> utp UTVarMap.t = let rec unify (substitution : utp UTVarMap.t) (t1 : utp) (t2 : utp) : utp UTVarMap.t = match t1, t2 with | UInt, UInt | UBool, UBool -> substitution | UTVar a, UTVar a' when a = a' -> substitution | UArrow (t1, t1'), UArrow (t2, t2') -> raise NotImplemented | UTVar a, _ -> uni... |
let rec unused_vars = function | Var _ | I _ | B _ -> [] | If (e, e1, e2) -> unused_vars e @ unused_vars e1 @ unused_vars e2 | Primop (_, args) -> List.fold_left (fun acc exp -> acc @ unused_vars exp) [] args | Let (x, e1, e2) -> let unused = unused_vars e1 @ unused_vars e2 in if List.mem x (free_variables e2) then unu... |
let rec subst ((e', x) as s) exp = match exp with | Var y -> if x = y then e' else Var y | I n -> I n | B b -> B b | Primop (po, args) -> Primop (po, List.map (subst s) args) | If (e, e1, e2) -> If (subst s e, subst s e1, subst s e2) | Let (y, e1, e2) -> let e1' = subst s e1 in if y = x then Let (y, e1', e2) else let (... |
let rec eval exp = match exp with | I _ -> exp | B _ -> exp | Fn _ -> exp | Var x -> raise (Stuck (Free_variable x)) | Primop (po, args) -> let args = List.map eval args in begin match eval_op po args with | None -> raise (Stuck Bad_primop_args) | Some v -> v end | If (e, e1, e2) -> begin match eval e with | B true -> ... |
let rec infer ctx e = match e with | Var x -> begin try lookup x ctx with Not_found -> raise (TypeError (Free_variable x)) end | I _ -> Int | B _ -> Bool | Primop (po, exps) -> let (domain, range) = primopType po in check ctx exps domain range | If (e, e1, e2) -> begin match infer ctx e with | Bool -> let t1 = infer ct... |
let unify : utp -> utp -> utp UTVarMap.t = let rec unify (substitution : utp UTVarMap.t) (t1 : utp) (t2 : utp) : utp UTVarMap.t = match t1, t2 with | UInt, UInt | UBool, UBool -> substitution | UTVar a, UTVar a' when a = a' -> substitution | UArrow (t1, t1'), UArrow (t2, t2') -> unify (unify substitution t1 t2) t1' t2'... |
let rec unused_vars = function | Var _ | I _ | B _ -> [] | If (e, e1, e2) -> unused_vars e @ unused_vars e1 @ unused_vars e2 | Primop (_, args) -> List.fold_left (fun acc exp -> acc @ unused_vars exp) [] args | Let (x, e1, e2) -> let unused = unused_vars e1 @ unused_vars e2 in if List.mem x (free_variables e2) then unu... |
let rec subst ((e', x) as s) exp = match exp with | Var y -> if x = y then e' else Var y | I n -> I n | B b -> B b | Primop (po, args) -> Primop (po, List.map (subst s) args) | If (e, e1, e2) -> If (subst s e, subst s e1, subst s e2) | Let (y, e1, e2) -> let e1' = subst s e1 in if y = x then Let (y, e1', e2) else let (... |
let rec eval exp = match exp with | I _ -> exp | B _ -> exp | Fn _ -> exp | Var x -> raise (Stuck (Free_variable x)) | Primop (po, args) -> let args = List.map eval args in begin match eval_op po args with | None -> raise (Stuck Bad_primop_args) | Some v -> v end | If (e, e1, e2) -> begin match eval e with | B true -> ... |
let rec infer ctx e = match e with | Var x -> begin try lookup x ctx with Not_found -> raise (TypeError (Free_variable x)) end | I _ -> Int | B _ -> Bool | Primop (po, exps) -> let (domain, range) = primopType po in check ctx exps domain range | If (e, e1, e2) -> begin match infer ctx e with | Bool -> let t1 = infer ct... |
let unify : utp -> utp -> utp UTVarMap.t = let rec unify (substitution : utp UTVarMap.t) (t1 : utp) (t2 : utp) : utp UTVarMap.t = match t1, t2 with | UInt, UInt | UBool, UBool -> substitution | UTVar a, UTVar a' when a = a' -> substitution | UArrow (t1, t1'), UArrow (t2, t2') -> raise NotImplemented | UTVar a, _ -> uni... |
let rec unused_vars = function | Var _ | I _ | B _ -> [] | If (e, e1, e2) -> unused_vars e @ unused_vars e1 @ unused_vars e2 | Primop (_, args) -> List.fold_left (fun acc exp -> acc @ unused_vars exp) [] args | Let (x, e1, e2) -> let unused = unused_vars e1 @ unused_vars e2 in if List.mem x (free_variables e2) then unu... |
let rec subst ((e', x) as s) exp = match exp with | Var y -> if x = y then e' else Var y | I n -> I n | B b -> B b | Primop (po, args) -> Primop (po, List.map (subst s) args) | If (e, e1, e2) -> If (subst s e, subst s e1, subst s e2) | Let (y, e1, e2) -> let e1' = subst s e1 in if y = x then Let (y, e1', e2) else let (... |
let rec eval exp = match exp with | I _ -> exp | B _ -> exp | Fn _ -> exp | Var x -> raise (Stuck (Free_variable x)) | Primop (po, args) -> let args = List.map eval args in begin match eval_op po args with | None -> raise (Stuck Bad_primop_args) | Some v -> v end | If (e, e1, e2) -> begin match eval e with | B true -> ... |
let rec infer ctx e = match e with | Var x -> begin try lookup x ctx with Not_found -> raise (TypeError (Free_variable x)) end | I _ -> Int | B _ -> Bool | Primop (po, exps) -> let (domain, range) = primopType po in check ctx exps domain range | If (e, e1, e2) -> begin match infer ctx e with | Bool -> let t1 = infer ct... |
let unify : utp -> utp -> utp UTVarMap.t = let rec unify (substitution : utp UTVarMap.t) (t1 : utp) (t2 : utp) : utp UTVarMap.t = match t1, t2 with | UInt, UInt | UBool, UBool -> substitution | UTVar a, UTVar a' when a = a' -> substitution | UArrow (t1, t1'), UArrow (t2, t2') -> raise NotImplemented | UTVar a, _ -> uni... |
let rec unused_vars = function | Var _ | I _ | B _ -> [] | If (e, e1, e2) -> unused_vars e @ unused_vars e1 @ unused_vars e2 | Primop (_, args) -> List.fold_left (fun acc exp -> acc @ unused_vars exp) [] args | Let (x, e1, e2) -> let unused = unused_vars e1 @ unused_vars e2 in if List.mem x (free_variables e2) then unu... |
let rec subst ((e', x) as s) exp = match exp with | Var y -> if x = y then e' else Var y | I n -> I n | B b -> B b | Primop (po, args) -> Primop (po, List.map (subst s) args) | If (e, e1, e2) -> If (subst s e, subst s e1, subst s e2) | Let (y, e1, e2) -> let e1' = subst s e1 in if y = x then Let (y, e1', e2) else let (... |
let rec eval exp = match exp with | I _ -> exp | B _ -> exp | Fn _ -> exp | Var x -> raise (Stuck (Free_variable x)) | Primop (po, args) -> let args = List.map eval args in begin match eval_op po args with | None -> raise (Stuck Bad_primop_args) | Some v -> v end | If (e, e1, e2) -> begin match eval e with | B true -> ... |
let rec infer ctx e = match e with | Var x -> begin try lookup x ctx with Not_found -> raise (TypeError (Free_variable x)) end | I _ -> Int | B _ -> Bool | Primop (po, exps) -> let (domain, range) = primopType po in check ctx exps domain range | If (e, e1, e2) -> begin match infer ctx e with | Bool -> let t1 = infer ct... |
let unify : utp -> utp -> utp UTVarMap.t = let rec unify (substitution : utp UTVarMap.t) (t1 : utp) (t2 : utp) : utp UTVarMap.t = match t1, t2 with | UInt, UInt | UBool, UBool -> substitution | UTVar a, UTVar a' when a = a' -> substitution | UArrow (t1, t1'), UArrow (t2, t2') -> unify substitution t1 t2; unify substitu... |
let unused_vars_tests = [ (Let ("x", I 1, I 5), ["x"]); (ex2, []); (ex3, []); (ex1, []); (ex4, []); (ex6, []); (e1, ["y"]); (e2, ["y"; "z"; "w"]); (e3, ["z"; "w"]); (e4, ["y"]); (e5, []); (e6, []); (e7, []); (fact, []); (fapply, []); (l1, ["f"; "y"]); (ul1, ["y"]); (e8, ["g"; "n"]); (e9, ["p"; "d"]) ] |
let subst_tests : (((exp * name) * exp) * exp) list = [ (((I 1, "x"), Let ("y", I 2, Primop (Plus, [Var "y"; Var "x"]))), Let ("y", I 2, Primop (Plus, [Var "y"; I 1]))); (((I 1, "x"), se8), e8); (((Var "f", "fact"), e7), xe7); (((Var "x", "y"), se12), xse12); (((I 5, "x"), e1), e1); (((Var "y", "x"), se2), xse2); (((Va... |
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