e doit typecheck dans exact e pour que la tactique réussisse

This commit is contained in:
Marwan 2024-05-06 00:10:23 +02:00
parent 6817a895b2
commit 5f28463a37
3 changed files with 36 additions and 15 deletions

View File

@ -42,7 +42,9 @@ let print_expr e =
let print_goal ((_, ty, c) : goal) : unit =
let rec print_hyps (c : context) : unit = match c with
[] -> ()
| (id, _, ty)::q -> print_string (id^" : "^(string_of_ty ty)^"\n"); print_hyps q
| (hyp_id, _, _, ty)::q ->
print_string (hyp_id^" : "^(string_of_ty ty)^"\n");
print_hyps q
in
print_string "\027[1m";
print_hyps c;
@ -53,4 +55,4 @@ let affiche_val _ = print_string "TODO"
let print_error (error_type : string) (details : string) =
output_string stderr ("\027[1;31mError:\027[0m \027[34m"^error_type^"\027[0m "^details^"\n");
flush stderr
flush stderr

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@ -11,7 +11,7 @@ type hlam = (* hollow lam *)
| Ref of hlam ref
| Hole
type context = (id * hlam * Types.ty) list
type context = (id * id * hlam * Types.ty) list
type goal = hlam * Types.ty * context
type proof = goal option * goal list
@ -35,7 +35,7 @@ let get_fresh_hyp () =
let var_id = "x_" ^ n in
(hyp_id, var_id)
let proof_is_over ((g, _) : proof) : bool =
let goal_is_over ((g, _) : proof) : bool =
match g with
None -> true
| Some _ -> false
@ -74,16 +74,25 @@ let rec lam_of_hlam : hlam -> lam = function
| Hole -> raise (TacticFailed "can not translate unclosed terms")
let typecheck (e : lam) (expected_t : Types.ty) (cs : context) : bool =
let gam_of_ctx : context -> Types.gam =
let f = fun (_, var_id, _, ty) -> (var_id, ty) in
List.map f
in
let g = gam_of_ctx cs in
try Typing.typecheck g e expected_t
with _ -> raise (TacticFailed "unable to type")
let rec get_term_by_id (hyp : id) : context -> hlam option =
function
[] -> None
| (hyp', h, _) :: _ when hyp' = hyp -> Some h
| (hyp',_, h, _) :: _ when hyp' = hyp -> Some h
| _ :: cs -> get_term_by_id hyp cs
let rec get_term_by_type (ty : Types.ty) : context -> hlam option =
function
[] -> None
| (_, h, ty') :: _ when ty' = ty -> Some h
| (_, _, h, ty') :: _ when ty' = ty -> Some h
| _ :: cs -> get_term_by_type ty cs
let next_goal (gs : goal list) : (goal option * goal list) =
@ -94,18 +103,28 @@ let next_goal (gs : goal list) : (goal option * goal list) =
let tact_exact_term ((g, gs) : proof) (e : lam) : proof =
match g with
None -> raise (TacticFailed "no current goal")
| Some (h, _, _) ->
fill h (hlam_of_lam e);
next_goal gs
| Some (h, expected_t, cs) ->
if typecheck e expected_t cs
then
begin
fill h (hlam_of_lam e);
next_goal gs
end
else raise (TacticFailed "type mismatch")
let tact_exact_proof ((g, gs) : proof) (hyp : id) : proof =
match g with
None -> raise (TacticFailed "no current goal")
| Some (h, _, cs) ->
| Some (h, expected_t, cs) ->
match get_term_by_id hyp cs with
Some h' ->
fill h h';
next_goal gs
if typecheck (lam_of_hlam h') expected_t cs
then
begin
fill h h';
next_goal gs
end
else raise (TacticFailed "type mismatch")
| None -> raise (TacticFailed "")
let tact_assumption ((g, gs) : proof) : proof =
@ -125,7 +144,7 @@ let tact_intro ((g, gs) : proof) : proof =
match goal_ty with
Arr (t1, t2) ->
let (hyp_id, var_id) = get_fresh_hyp () in
let cs = (hyp_id, HVar var_id, t1) :: cs in
let cs = (hyp_id, var_id, HVar var_id, t1) :: cs in
let new_h = Ref (ref Hole) in
fill h (HFun ((var_id, t1), new_h));
Some (new_h, t2, cs), gs
@ -148,7 +167,7 @@ let tact_cut ((g, gs) : proof) (new_t : Types.ty) : proof =
let tact_apply ((g, gs) : proof) (hyp_id : id) : proof =
let rec get_hyp = function
[] -> raise (TacticFailed "no such hypothesis in context")
| (hyp_id', h', t') :: _ when hyp_id = hyp_id' -> (h', t')
| (hyp_id', _, h', t') :: _ when hyp_id = hyp_id' -> (h', t')
| _ :: cs -> get_hyp cs
in
match g with

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@ -1,7 +1,7 @@
open Types
open Lam
let rec typecheck (g : gam) (e : lam) (expected_t : ty) =
let rec typecheck (g : gam) (e : lam) (expected_t : ty) : bool =
match e with
Var x -> (List.assoc x g) = expected_t
| Fun ((x, actual_t1), e) ->