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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') -> let s = substitution in unify (unify s t...
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') -> let substitute' = 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') -> (unify substitution t1 t2; unify substit...
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 substit...
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 first_stuff = unify substitution t1 ...
let unused_vars_tests = [ (Rec ("x", Int, (If (B true,Primop (Plus, [I 1;Var "x"]), (Let ("h", I 1, I 5))))),["h"]); (Rec ("x", Int, (If (B true, I 1, Primop (Plus,[I 0;Rec ("y", Int, (If (B true, I 1, I 0)))])))),["x";"y"]); (Fn ([("x", Int)],I 3),["x"]); (Fn ([("x", Int);("y", Int)],I 3),["x";"y"]); ((Fn ([("g", Bool...
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 4, "h"), Rec ("h", Int, (If (B true,Primop (Plus, [Var "y";Var "h"]), I 5))) ), Rec ("h", Int, If (B true, Primop (Plus, [Var "y"; Var "h"]), I 5...
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 infer_tests = [ (([], (Rec ("x", Int, Primop (Plus, [Var "x"; I 0])))), Int); (([], ex1), Arrow ([Int; Int],Int)); (([], ex2), Arrow ([],Bool)); ((["y",Int], Fn ([("x", Int)], Primop (Times, [Var "y"; Var "y"]))), Arrow ([Int],Int)); (([("h", Arrow ([Int; Int; Bool], Int))], (Apply (Var "h", [I (-2); I 1; B false])...
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') -> let m = unify substitution t1 t2 in 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') -> let inputs = (unify substitution t1 t2) ...
let unused_vars_tests = [ (Let ("x", I 1, I 5), ["x"]); (Fn ([("x", Int)], B true), ["x"]); (recfun, []); (Apply (ex1, [I 3; I 4]), []); (Rec ("x", Int, I 1), ["x"]); (Fn ([("x", Int)], Var "x"), []); (Apply (Fn ([("x", Int)], B true), [I 3]), ["x"]); (Apply (Fn ([("x", Int)], Var "x"), [I 3]), []); (Fn ([("x", Int);("...
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"), recfun), Rec ("x", Int, Primop (Equals, [Var "x"; I 0]))); (((I 1, "x"), ex1), ex1); (((Var "y", "x"), ex1), ex1); (((I 1, "x"), Rec ("y...
let eval_tests = [ (Let ("x", I 1, Primop (Plus, [Var "x"; I 5])), I 6); (Rec ("x", Int, I 1), I 1); ((Apply (Fn ([("x", Int)], Var "x"), [I 5])), I 5); ((Apply (Fn ([("x", Int);("y", Int)], Primop (Plus, [Var "x"; Var "y"])), [I 5; I 6])), I 11); ((Apply (Fn ([], Primop (Plus, [I 5; I 6])), [])), I 11); ((Apply (Fn ([...
let infer_tests = [ (([("x", Int)], Var "x"), Int); (([], Rec ("w", Int, Primop (Minus, [I 2; I 6]))), Int); (([("d", Int)], Fn ([("d", Int)], Primop (Times, [I 2; Var "d"]))), Arrow ([Int], Int)); (([], Rec ("z", Arrow ([Bool], Bool), Var "z")), Arrow ([Bool], Bool)); (([], Apply (If (B true, Fn ([("q", Int); ("w", In...
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)], B true), ["x"]); (recfun, []); (Apply (ex1, [I 3; I 4]), []); (Rec ("x", Int, I 1), ["x"]); (Fn ([("x", Int)], Var "x"), []); (Apply (Fn ([("x", Int)], B true), [I 3]), ["x"]); (Apply (Fn ([("x", Int)], Var "x"), [I 3]), []); (Fn ([("x", Int);("...
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"), recfun), Rec ("x", Int, Primop (Equals, [Var "x"; I 0]))); (((I 1, "x"), ex1), ex1); (((Var "y", "x"), ex1), ex1); (((I 1, "x"), Rec ("y...
let eval_tests = [ (Let ("x", I 1, Primop (Plus, [Var "x"; I 5])), I 6); (Rec ("x", Int, I 1), I 1); ((Apply (Fn ([("x", Int)], Var "x"), [I 5])), I 5); ((Apply (Fn ([("x", Int);("y", Int)], Primop (Plus, [Var "x"; Var "y"])), [I 5; I 6])), I 11); ((Apply (Fn ([], Primop (Plus, [I 5; I 6])), [])), I 11); ((Apply (Fn ([...
let infer_tests = [ (([("x", Int)], Var "x"), Int); (([], Rec ("w", Int, Primop (Minus, [I 2; I 6]))), Int); (([("d", Int)], Fn ([("d", Int)], Primop (Times, [I 2; Var "d"]))), Arrow ([Int], Int)); (([], Rec ("z", Arrow ([Bool], Bool), Var "z")), Arrow ([Bool], Bool)); (([], Apply (If (B true, Fn ([("q", Int); ("w", In...
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') -> let map = unify substitution t1 t2 in un...
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) -> if y = x then Let (y, subst s e1, e2) else let (y, e2) = if List....
let rec eval exp = match exp with | I _ | B _ | 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 -> eval e1 | B fa...
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') -> let map1= unify substitution t1 t2 in le...
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') -> 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 (...