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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') -> 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 = [ (Let ("x", I 1, I 5), ["x"]) ; (Fn ([("x", Int); ("y", Int);("z",Int)], Primop (Plus, [Primop (Times, [Var "x"; Var "x"]); Primop (Times, [Var "y"; Var "y"])])) ,["z"] ); ((Apply ((Var "x"),[Var "y"; Var "z"])),[] ); ( Rec ("f", Arrow([Int],Int),Fn(["x",Int], If (( (Primop(Equals,[Var "x"; I 0... |
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, "b"), Apply (Let ("t", I 4, Var "b"), [I 2; ])), Apply (Let ("t", I 4, I 1), [I 2;] )); (((Var "c","f"), Rec ("f", Arrow([Int],Int),Fn(["x",In... |
let eval_tests = [ (Let ("x", I 1, Primop (Plus, [Var "x"; I 5])), I 6); ( Rec ("f", Arrow([Int],Int),Fn(["x",Int], If ( (Primop(Equals,[Var "x"; I 5])), Var"x" ,Primop (Plus,[Var "x";Apply (Var"f",[Primop(Plus,[Var"x"; I 1])])])))), Fn(["x",Int], If ( (Primop(Equals,[Var "x"; I 5])), Var"x" ,Primop (Plus,[Var "x";Appl... |
let infer_tests = [ (([("x", Int)], Var "x"), Int); (([("x",Int);("y",Int)], ex1),Arrow ([Int;Int],Int)); (([],ex2),Arrow([],Bool)); ((["x",Int],exxx),Arrow([Int],Int)); ((["x",Int],Rec ("f", Arrow([Int],Int),Fn(["x",Int], If ( (Primop(Equals,[Var "x"; I 5])), Var"x", Primop (Plus,[Var "x";Apply (Var"f",[Primop(Plus,[V... |
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 unused_vars_tests = [ (Let ("x", I 1, I 5), ["x"]) ; (Fn ([("x", Int); ("y", Int);("z",Int)], Primop (Plus, [Primop (Times, [Var "x"; Var "x"]); Primop (Times, [Var "y"; Var "y"])])) ,["z"] ); ((Apply ((Var "x"),[Var "y"; Var "z"])),[] ); ( Rec ("f", Arrow([Int],Int),Fn(["x",Int], If (( (Primop(Equals,[Var "x"; I 0... |
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, "b"), Apply (Let ("t", I 4, Var "b"), [I 2; ])), Apply (Let ("t", I 4, I 1), [I 2;] )); (((Var "c","f"), Rec ("f", Arrow([Int],Int),Fn(["x",In... |
let eval_tests = [ (Let ("x", I 1, Primop (Plus, [Var "x"; I 5])), I 6); ( Rec ("f", Arrow([Int],Int),Fn(["x",Int], If ( (Primop(Equals,[Var "x"; I 5])), Var"x" ,Primop (Plus,[Var "x";Apply (Var"f",[Primop(Plus,[Var"x"; I 1])])])))), Fn(["x",Int], If ( (Primop(Equals,[Var "x"; I 5])), Var"x" ,Primop (Plus,[Var "x";Appl... |
let infer_tests = [ (([("x", Int)], Var "x"), Int); (([("x",Int);("y",Int)], ex1),Arrow ([Int;Int],Int)); (([],ex2),Arrow([],Bool)); ((["x",Int],exxx),Arrow([Int],Int)); ((["x",Int],Rec ("f", Arrow([Int],Int),Fn(["x",Int], If ( (Primop(Equals,[Var "x"; I 5])), Var"x", Primop (Plus,[Var "x";Apply (Var"f",[Primop(Plus,[V... |
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 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 = [ (Let ("x", I 1, I 5), ["x"]); (fn3, ["x1"]); (fn1, ["x3"]); (fn2, ["x3"]); (fn5, ["x2"; "x3"; "fn2"]); (Apply (fn1, [I 3; I 4; I 12]), ["x3"]) ] |
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"), (Rec ("y", Int, Let ("y", Primop (Negate, [Var "y"]), Var "x"))) ), (Rec ("y", Int, Let ("y", Primop (Negate, [Var "y"]), I 1))) ); (... |
let eval_tests = [ (Let ("x", I 1, Primop (Plus, [Var "x"; I 5])), I 6); ( Apply ( (Fn ([("l", Int); ("k", Int)], Primop (Minus, [Primop (Minus, [Var "k"; I 0]); Var "l"]))), [I 1; I 3]), I 2 ); ( Apply ( (Fn ([("l", Int); ("k", Int)], Primop (Minus, [Primop (Minus, [I 10; I 0]); I 2]))), [I 1; I 3]), I 8 ); ( Apply ( ... |
let infer_tests = [ ( ([("x", Int)], Var "x"), Int ); ( ( [("l", Int); ("k", Int)], Fn ([("l", Int); ("k", Int)], Primop (Minus, [Primop (Minus, [I 10; I 0]); I 2])) ), Arrow ([Int; Int], Int) ); ( ( [("l", Int)], Fn ([("l", Int)], Primop (Minus, [Primop (Minus, [I 10; Var "l"]); I 2])) ), Arrow ([Int], 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 = 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 sub1 = unify UTVarMap.empty 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 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 sub1 = unify substitution t1 t2 in u... |
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 newsubstitution = unify substitution... |
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 substitution = unify substitution t1... |
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') -> List.fold_left2 (fun map t1 t2 -> unify ... |
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 vmap = unify substitution t1 t2 in u... |
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') -> ( match t1, t1' , t2 ,t2' with |UInt, _,... |
let unused_vars_tests = [ (Let ("x", I 1, I 5), ["x"]); ((Fn ([("eee", (Arrow ([Int; Int], Int)))], Apply (eee, [I 2; I 4]))) ,["eee"]); (Rec ("sum", Int, eee), ["sum"]); (Fn ([("x", Int); ("y", Int)], Primop (Plus, [Primop (Times, [Var "x"; Var "x"]); Primop (Times, [Var "y"; Var "y"])])), []); (Rec ("sum", Int, Fn ( ... |
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 56, "x"), Rec ("y", Int, Apply (Var "y", [Var "x"]))), Rec ("y", Int, Apply (Var "y", [I 56])) ); (((I 16, "x"), Fn ([("v",Int)], Primop (Plus, [... |
let eval_tests = [ (Let ("x", I 1, Primop (Plus, [Var "x"; I 5])), I 6); (Rec ("x", Int, I 2), I 2); (Apply (Fn (["g", Int], B true) , [I 12]), B true); (Apply (Fn ([("g", Int); ("h", Int)], B true) , [I 12; I 34]), B true); (Apply (Fn ([("y", Int)], Var "y"), [I 55]), I 55); (Apply ( Apply (Fn ([], (Fn ([("y", Int)], ... |
let infer_tests = [ ( ([("y", Int)], Var "y"), Int ); ( ([("h", Int)], Rec("g", Int, Primop(Plus, [Var "g"; Var "h"]) )), Int ); ( ([], Fn ([], B true)), Arrow ([], Bool)); ( ([], Fn ([("x", Int)], Var "x")), Arrow ([Int], Int)); ( ([], Fn ([("x", Int); ("y", Int)], I 0)), Arrow ([Int;Int], Int)); ( ([], Fn ([], 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 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 subs = unify substitution t1 t2 in u... |
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... |
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