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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') -> let substitution'= unify substitution t1... |
let unused_vars_tests = [ (Let ("x", I 1, I 5), ["x"]); (Fn ([("x", Int); ("y", Int)], Primop (Plus, [Var "x"; Var "x"])), ["y"]); (Fn ([("x", Int); ("y", Int)], Primop (Plus, [Var "x"; Var "y"])), []); (Apply (Primop (Plus, [Var "x"; Var "x"]), [I 3; I 4]), []); ( Rec ("x", Int, If ( Primop (Equals, [Var "x"; I 0]), I... |
let subst_tests : (((exp * name) * exp) * exp) list = [ (((Var "y", "x"), Fn ([("b", Int)], Primop (Plus, [Var "x"; I 12]))), Fn ([("b", Int)], Primop (Plus, [Var "y"; I 12])) ); (((Var "q", "x"), Fn ([("x", Int); ("y", Int)], Primop (Plus, [Var "x"; Var "y"]))), Fn ([("q", Int); ("b", Int)], Primop (Plus, [Var "q"; Va... |
let eval_tests = [ (Let ("x", I 1, Primop (Plus, [Var "x"; I 5])), I 6); (Rec ("x", Bool, B true), B true); (((Apply (Rec ("s", Arrow ([Int], Int), Fn ([("b", Int)], Var "b" )), [I 12]))),I 12); (Apply (Fn ([("l", Int)], Var "l" ), [I 0]), I 0); (Apply (Fn ([], B true), []), B true ); (Apply (Fn ([("x", Int); ("y", Int... |
let infer_tests = [ (([("t", Bool)], Var "t"), Bool); (([("t", Bool)], Fn ([], Primop (Equals, [I 7; I 1]))), Arrow ([], Bool)); (([("t", Int)], Fn ([("t", Int)], Primop (Equals, [Var "t"; I 1]))), Arrow ([Int], Bool)); (([("x", Int); ("t", Int)], Fn ([("x", Int); ("t", Int)], Primop (LessThan, [Var "x"; Var "t"]))), A... |
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 exp = match exp 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 = infe... |
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 f key v1 v2 = Some v1 in UTVarMap.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) -> 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 u = unify substitution t1 t2 in unif... |
let unused_vars_tests = [ (Let ("x", I 1, I 5), ["x"]); (Fn ([], B true), []); (Fn ([("x", Int); ("y", Int); ("z", Int)], Primop (Plus, [Primop (Times, [Var "x"; Var "x"]); Primop (Times, [Var "y"; Var "y"])])), ["z"]); (Apply (Var "f", [I 3; I 4]), []); (e,[]); (f', ["m"]); (Fn ([("x", Int)], Fn([("x",Int);("y", 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]))); (((Primop(Times, [Var "x";I 5]),"y"), Let ("x", Primop(Plus, [Var "y"; I 1]), Primop(Plus, [Var "x"; Var "y"]))), Let("x1", Primop(Plus, [Primop(Times... |
let eval_tests = [ (Let ("x", I 1, Primop (Plus, [Var "x"; I 5])), I 6); (Rec ("counter", Arrow ([Int],Int), Primop(Plus,[ I 3; I 2])), I 5); (Apply(Fn([], B true), []), B true); (e, Fn ([("n", Int)], If (Primop (Equals, [Var "n"; I 0]), I 1, Primop (Times, [Var "n"; Apply (Rec ("fact", Arrow ([Int], Int), Fn ([("n", I... |
let infer_tests = [ (([("x", Int)], Var "x"), Int); (([], Fn([("x", Int); ("y", Bool)], If (Var "y", Var "x", Primop(Times, [Var "x"; I 2])))), Arrow([Int;Bool],Int)); (([("x", Int)], Fn([("y",Int)], Primop(Plus, [Var "x"; Var "y"]))), Arrow([Int],Int)); (([], Fn([("x", Int); ("y", Int); ("f", Arrow([], Bool))], If(App... |
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') -> 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 sub' = 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 unused_vars_tests = [ (Let ("x", I 1, I 5), ["x"]); (Fn ([("x", Int); ("y", Int)], Primop(Minus,[I 5; I 6]) ), ["x"; "y"]); (Rec( "x", Int , Primop(Minus,[I 5; I 6]) ), ["x"]); ( counterExUnused, ["y"]); (Apply(Fn ([("x", Int); ("y", Int)], Primop(Minus,[ Var "x"; I 5]) ),[I 7; I 9]),["y"]) ] |
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"), Fn ([("x", Int); ("y", Int)], Primop (Plus, [Primop (Times, [Var "x"; Var "x"]); Primop (Times, [Var "y"; Var "y"])])) ), Fn ([("x", In... |
let eval_tests = [ (Let ("x", I 1, Primop (Plus, [Var "x"; I 5])), I 6); (Apply(Fn ([("x", Int); ("y", Int)], Primop(Minus,[ Var "x"; I 5]) ),[I 7; I 9]), I 2) ; (Apply(ex2,[]),B true) ] |
let infer_tests = [ (([("x", Int)], Var "x"), Int); (([], simple_f), Arrow ([Int; Int], Int) ); (([("z", Int)],simple_f'),Arrow ([Int; Int], Int)); (([],ex2),Arrow ([], Bool)); (([],Apply(simple_f, [I 3; I 7])),Int); (([("x", Int)],Apply(simple_f, [Primop(Plus,[I 4;Var "x"]) ; I 7]) ),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 unused_vars_tests = [ (Let ("x", I 1, I 5), ["x"]); (Fn ([("x", Int); ("y", Int)], Primop(Minus,[I 5; I 6]) ), ["x"; "y"]); (Rec( "x", Int , Primop(Minus,[I 5; I 6]) ), ["x"]); ( counterExUnused, ["y"]); (Apply(Fn ([("x", Int); ("y", Int)], Primop(Minus,[ Var "x"; I 5]) ),[I 7; I 9]),["y"]) ] |
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"), Fn ([("x", Int); ("y", Int)], Primop (Plus, [Primop (Times, [Var "x"; Var "x"]); Primop (Times, [Var "y"; Var "y"])])) ), Fn ([("x", In... |
let eval_tests = [ (Let ("x", I 1, Primop (Plus, [Var "x"; I 5])), I 6); (Apply(Fn ([("x", Int); ("y", Int)], Primop(Minus,[ Var "x"; I 5]) ),[I 7; I 9]), I 2) ; (Apply(ex2,[]),B true); (Apply(fact, [(I 4)]), I 24); (Apply(simple_f'', [(I 4)]), I 8) ] |
let infer_tests = [ (([],fact), Arrow ([Int], Int)); (([("z", Int)],fact'), Arrow ([Int], Int)); (([("x", Int)], Var "x"), Int); (([], simple_f), Arrow ([Int; Int], Int) ); (([], simple_f''), Arrow ([Int], Int) ); (([("z", Int)],simple_f'),Arrow ([Int; Int], Int)); (([],ex2),Arrow ([], Bool)); (([],Apply(simple_f, [I 3... |
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') -> 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') -> let s = unify substitution t1 t1' in 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') -> let sbst = 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 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 t = 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') -> 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 (... |
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