+++ /dev/null
-(* Copyright (C) 2000, HELM Team.
- *
- * This file is part of HELM, an Hypertextual, Electronic
- * Library of Mathematics, developed at the Computer Science
- * Department, University of Bologna, Italy.
- *
- * HELM is free software; you can redistribute it and/or
- * modify it under the terms of the GNU General Public License
- * as published by the Free Software Foundation; either version 2
- * of the License, or (at your option) any later version.
- *
- * HELM is distributed in the hope that it will be useful,
- * but WITHOUT ANY WARRANTY; without even the implied warranty of
- * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
- * GNU General Public License for more details.
- *
- * You should have received a copy of the GNU General Public License
- * along with HELM; if not, write to the Free Software
- * Foundation, Inc., 59 Temple Place - Suite 330, Boston,
- * MA 02111-1307, USA.
- *
- * For details, see the HELM World-Wide-Web page,
- * http://cs.unibo.it/helm/.
- *)
-
-exception NotImplemented;;
-exception Impossible;;
-exception NotWellTyped of string;;
-exception WrongUriToConstant of string;;
-exception WrongUriToVariable of string;;
-exception WrongUriToMutualInductiveDefinitions of string;;
-exception ListTooShort;;
-exception NotPositiveOccurrences of string;;
-exception NotWellFormedTypeOfInductiveConstructor of string;;
-exception WrongRequiredArgument of string;;
-
-let fdebug = ref 0;;
-let debug t env =
- let rec debug_aux t i =
- let module C = Cic in
- let module U = UriManager in
- CicPp.ppobj (C.Variable ("DEBUG", None,
- C.Prod (C.Name "-15", C.Const (U.uri_of_string "cic:/dummy-15",0),
- C.Prod (C.Name "-14", C.Const (U.uri_of_string "cic:/dummy-14",0),
- C.Prod (C.Name "-13", C.Const (U.uri_of_string "cic:/dummy-13",0),
- C.Prod (C.Name "-12", C.Const (U.uri_of_string "cic:/dummy-12",0),
- C.Prod (C.Name "-11", C.Const (U.uri_of_string "cic:/dummy-11",0),
- C.Prod (C.Name "-10", C.Const (U.uri_of_string "cic:/dummy-10",0),
- C.Prod (C.Name "-9", C.Const (U.uri_of_string "cic:/dummy-9",0),
- C.Prod (C.Name "-8", C.Const (U.uri_of_string "cic:/dummy-8",0),
- C.Prod (C.Name "-7", C.Const (U.uri_of_string "cic:/dummy-7",0),
- C.Prod (C.Name "-6", C.Const (U.uri_of_string "cic:/dummy-6",0),
- C.Prod (C.Name "-5", C.Const (U.uri_of_string "cic:/dummy-5",0),
- C.Prod (C.Name "-4", C.Const (U.uri_of_string "cic:/dummy-4",0),
- C.Prod (C.Name "-3", C.Const (U.uri_of_string "cic:/dummy-3",0),
- C.Prod (C.Name "-2", C.Const (U.uri_of_string "cic:/dummy-2",0),
- C.Prod (C.Name "-1", C.Const (U.uri_of_string "cic:/dummy-1",0),
- t
- )
- )
- )
- )
- )
- )
- )
- )
- )))))))
- )) ^ "\n" ^ i
- in
- if !fdebug = 0 then
- raise (NotWellTyped ("\n" ^ List.fold_right debug_aux (t::env) ""))
- (*print_endline ("\n" ^ List.fold_right debug_aux (t::env) "") ; flush stdout*)
-;;
-
-let rec split l n =
- match (l,n) with
- (l,0) -> ([], l)
- | (he::tl, n) -> let (l1,l2) = split tl (n-1) in (he::l1,l2)
- | (_,_) -> raise ListTooShort
-;;
-
-exception CicCacheError;;
-
-let rec cooked_type_of_constant uri cookingsno =
- let module C = Cic in
- let module R = CicReduction in
- let module U = UriManager in
- let cobj =
- match CicCache.is_type_checked uri cookingsno with
- CicCache.CheckedObj cobj -> cobj
- | CicCache.UncheckedObj uobj ->
- (* let's typecheck the uncooked obj *)
- (match uobj with
- C.Definition (_,te,ty,_) ->
- let _ = type_of ty in
- if not (R.are_convertible (type_of te) ty) then
- raise (NotWellTyped ("Constant " ^ (U.string_of_uri uri)))
- | C.Axiom (_,ty,_) ->
- (* only to check that ty is well-typed *)
- let _ = type_of ty in ()
- | C.CurrentProof (_,_,te,ty) ->
- let _ = type_of ty in
- if not (R.are_convertible (type_of te) ty) then
- raise (NotWellTyped ("CurrentProof" ^ (U.string_of_uri uri)))
- | _ -> raise (WrongUriToConstant (U.string_of_uri uri))
- ) ;
- CicCache.set_type_checking_info uri ;
- match CicCache.is_type_checked uri cookingsno with
- CicCache.CheckedObj cobj -> cobj
- | CicCache.UncheckedObj _ -> raise CicCacheError
- in
- match cobj with
- C.Definition (_,_,ty,_) -> ty
- | C.Axiom (_,ty,_) -> ty
- | C.CurrentProof (_,_,_,ty) -> ty
- | _ -> raise (WrongUriToConstant (U.string_of_uri uri))
-
-and type_of_variable uri =
- let module C = Cic in
- let module R = CicReduction in
- let module U = UriManager in
- (* 0 because a variable is never cooked => no partial cooking at one level *)
- match CicCache.is_type_checked uri 0 with
- CicCache.CheckedObj (C.Variable (_,_,ty)) -> ty
- | CicCache.UncheckedObj (C.Variable (_,bo,ty)) ->
- (* only to check that ty is well-typed *)
- let _ = type_of ty in
- (match bo with
- None -> ()
- | Some bo ->
- if not (R.are_convertible (type_of bo) ty) then
- raise (NotWellTyped ("Variable " ^ (U.string_of_uri uri)))
- ) ;
- CicCache.set_type_checking_info uri ;
- ty
- | _ -> raise (WrongUriToVariable (UriManager.string_of_uri uri))
-
-and does_not_occur n nn te =
- let module C = Cic in
- (*CSC: whd sembra essere superflua perche' un caso in cui l'occorrenza *)
- (*CSC: venga mangiata durante la whd sembra presentare problemi di *)
- (*CSC: universi *)
- match CicReduction.whd te with
- C.Rel m when m > n && m <= nn -> false
- | C.Rel _
- | C.Var _
- | C.Meta _
- | C.Sort _
- | C.Implicit -> true
- | C.Cast (te,ty) -> does_not_occur n nn te && does_not_occur n nn ty
- | C.Prod (_,so,dest) ->
- does_not_occur n nn so && does_not_occur (n + 1) (nn + 1) dest
- | C.Lambda (_,so,dest) ->
- does_not_occur n nn so && does_not_occur (n + 1) (nn + 1) dest
- | C.LetIn (_,so,dest) ->
- does_not_occur n nn so && does_not_occur (n + 1) (nn + 1) dest
- | C.Appl l ->
- List.fold_right (fun x i -> i && does_not_occur n nn x) l true
- | C.Const _
- | C.Abst _
- | C.MutInd _
- | C.MutConstruct _ -> true
- | C.MutCase (_,_,_,out,te,pl) ->
- does_not_occur n nn out && does_not_occur n nn te &&
- List.fold_right (fun x i -> i && does_not_occur n nn x) pl true
- | C.Fix (_,fl) ->
- let len = List.length fl in
- let n_plus_len = n + len in
- let nn_plus_len = nn + len in
- List.fold_right
- (fun (_,_,ty,bo) i ->
- i && does_not_occur n_plus_len nn_plus_len ty &&
- does_not_occur n_plus_len nn_plus_len bo
- ) fl true
- | C.CoFix (_,fl) ->
- let len = List.length fl in
- let n_plus_len = n + len in
- let nn_plus_len = nn + len in
- List.fold_right
- (fun (_,ty,bo) i ->
- i && does_not_occur n_plus_len nn_plus_len ty &&
- does_not_occur n_plus_len nn_plus_len bo
- ) fl true
-
-(*CSC l'indice x dei tipi induttivi e' t.c. n < x <= nn *)
-(*CSC questa funzione e' simile alla are_all_occurrences_positive, ma fa *)
-(*CSC dei controlli leggermente diversi. Viene invocata solamente dalla *)
-(*CSC strictly_positive *)
-(*CSC definizione (giusta???) tratta dalla mail di Hugo ;-) *)
-and weakly_positive n nn uri te =
- let module C = Cic in
- (*CSC mettere in cicSubstitution *)
- let rec subst_inductive_type_with_dummy_rel =
- function
- C.MutInd (uri',_,0) when UriManager.eq uri' uri ->
- C.Rel 0 (* dummy rel *)
- | C.Appl ((C.MutInd (uri',_,0))::tl) when UriManager.eq uri' uri ->
- C.Rel 0 (* dummy rel *)
- | C.Cast (te,ty) -> subst_inductive_type_with_dummy_rel te
- | C.Prod (name,so,ta) ->
- C.Prod (name, subst_inductive_type_with_dummy_rel so,
- subst_inductive_type_with_dummy_rel ta)
- | C.Lambda (name,so,ta) ->
- C.Lambda (name, subst_inductive_type_with_dummy_rel so,
- subst_inductive_type_with_dummy_rel ta)
- | C.Appl tl ->
- C.Appl (List.map subst_inductive_type_with_dummy_rel tl)
- | C.MutCase (uri,cookingsno,i,outtype,term,pl) ->
- C.MutCase (uri,cookingsno,i,
- subst_inductive_type_with_dummy_rel outtype,
- subst_inductive_type_with_dummy_rel term,
- List.map subst_inductive_type_with_dummy_rel pl)
- | C.Fix (i,fl) ->
- C.Fix (i,List.map (fun (name,i,ty,bo) -> (name,i,
- subst_inductive_type_with_dummy_rel ty,
- subst_inductive_type_with_dummy_rel bo)) fl)
- | C.CoFix (i,fl) ->
- C.CoFix (i,List.map (fun (name,ty,bo) -> (name,
- subst_inductive_type_with_dummy_rel ty,
- subst_inductive_type_with_dummy_rel bo)) fl)
- | t -> t
- in
- match CicReduction.whd te with
- C.Appl ((C.MutInd (uri',_,0))::tl) when UriManager.eq uri' uri -> true
- | C.MutInd (uri',_,0) when UriManager.eq uri' uri -> true
- | C.Prod (C.Anonimous,source,dest) ->
- strictly_positive n nn (subst_inductive_type_with_dummy_rel source) &&
- weakly_positive (n + 1) (nn + 1) uri dest
- | C.Prod (name,source,dest) when does_not_occur 0 n dest ->
- (* dummy abstraction, so we behave as in the anonimous case *)
- strictly_positive n nn (subst_inductive_type_with_dummy_rel source) &&
- weakly_positive (n + 1) (nn + 1) uri dest
- | C.Prod (_,source,dest) ->
- does_not_occur n nn (subst_inductive_type_with_dummy_rel source) &&
- weakly_positive (n + 1) (nn + 1) uri dest
- | _ -> raise (NotWellFormedTypeOfInductiveConstructor ("Guess where the error is ;-)"))
-
-(* instantiate_parameters ps (x1:T1)...(xn:Tn)C *)
-(* returns ((x_|ps|:T_|ps|)...(xn:Tn)C){ps_1 / x1 ; ... ; ps_|ps| / x_|ps|} *)
-and instantiate_parameters params c =
- let module C = Cic in
- match (c,params) with
- (c,[]) -> c
- | (C.Prod (_,_,ta), he::tl) ->
- instantiate_parameters tl
- (CicSubstitution.subst he ta)
- | (C.Cast (te,_), _) -> instantiate_parameters params te
- | (t,l) -> raise Impossible
-
-and strictly_positive n nn te =
- let module C = Cic in
- let module U = UriManager in
- match CicReduction.whd te with
- C.Rel _ -> true
- | C.Cast (te,ty) ->
- (*CSC: bisogna controllare ty????*)
- strictly_positive n nn te
- | C.Prod (_,so,ta) ->
- does_not_occur n nn so &&
- strictly_positive (n+1) (nn+1) ta
- | C.Appl ((C.Rel m)::tl) when m > n && m <= nn ->
- List.fold_right (fun x i -> i && does_not_occur n nn x) tl true
- | C.Appl ((C.MutInd (uri,_,i))::tl) ->
- let (ok,paramsno,cl) =
- match CicCache.get_obj uri with
- C.InductiveDefinition (tl,_,paramsno) ->
- let (_,_,_,cl) = List.nth tl i in
- (List.length tl = 1, paramsno, cl)
- | _ -> raise(WrongUriToMutualInductiveDefinitions(U.string_of_uri uri))
- in
- let (params,arguments) = split tl paramsno in
- let lifted_params = List.map (CicSubstitution.lift 1) params in
- let cl' =
- List.map (fun (_,te,_) -> instantiate_parameters lifted_params te) cl
- in
- ok &&
- List.fold_right
- (fun x i -> i && does_not_occur n nn x)
- arguments true &&
- (*CSC: MEGAPATCH3 (sara' quella giusta?)*)
- List.fold_right
- (fun x i ->
- i &&
- weakly_positive (n+1) (nn+1) uri x
- ) cl' true
- | C.MutInd (uri,_,i) ->
- (match CicCache.get_obj uri with
- C.InductiveDefinition (tl,_,_) ->
- List.length tl = 1
- | _ -> raise (WrongUriToMutualInductiveDefinitions(U.string_of_uri uri))
- )
- | t -> does_not_occur n nn t
-
-(*CSC l'indice x dei tipi induttivi e' t.c. n < x <= nn *)
-and are_all_occurrences_positive uri indparamsno i n nn te =
- let module C = Cic in
- match CicReduction.whd te with
- C.Appl ((C.Rel m)::tl) when m = i ->
- (*CSC: riscrivere fermandosi a 0 *)
- (* let's check if the inductive type is applied at least to *)
- (* indparamsno parameters *)
- let last =
- List.fold_left
- (fun k x ->
- if k = 0 then 0
- else
- match CicReduction.whd x with
- C.Rel m when m = n - (indparamsno - k) -> k - 1
- | _ -> raise (WrongRequiredArgument (UriManager.string_of_uri uri))
- ) indparamsno tl
- in
- if last = 0 then
- List.fold_right (fun x i -> i && does_not_occur n nn x) tl true
- else
- raise (WrongRequiredArgument (UriManager.string_of_uri uri))
- | C.Rel m when m = i ->
- if indparamsno = 0 then
- true
- else
- raise (WrongRequiredArgument (UriManager.string_of_uri uri))
- | C.Prod (C.Anonimous,source,dest) ->
- strictly_positive n nn source &&
- are_all_occurrences_positive uri indparamsno (i+1) (n + 1) (nn + 1) dest
- | C.Prod (name,source,dest) when does_not_occur 0 n dest ->
- (* dummy abstraction, so we behave as in the anonimous case *)
- strictly_positive n nn source &&
- are_all_occurrences_positive uri indparamsno (i+1) (n + 1) (nn + 1) dest
- | C.Prod (_,source,dest) ->
- does_not_occur n nn source &&
- are_all_occurrences_positive uri indparamsno (i+1) (n + 1) (nn + 1) dest
- | _ -> raise (NotWellFormedTypeOfInductiveConstructor (UriManager.string_of_uri uri))
-
-(*CSC: cambiare il nome, torna unit! *)
-and cooked_mutual_inductive_defs uri =
- let module U = UriManager in
- function
- Cic.InductiveDefinition (itl, _, indparamsno) ->
- (* let's check if the arity of the inductive types are well *)
- (* formed *)
- List.iter (fun (_,_,x,_) -> let _ = type_of x in ()) itl ;
-
- (* let's check if the types of the inductive constructors *)
- (* are well formed. *)
- (* In order not to use type_of_aux we put the types of the *)
- (* mutual inductive types at the head of the types of the *)
- (* constructors using Prods *)
- (*CSC: piccola??? inefficienza *)
- let len = List.length itl in
- let _ =
- List.fold_right
- (fun (_,_,_,cl) i ->
- List.iter
- (fun (name,te,r) ->
- let augmented_term =
- List.fold_right
- (fun (name,_,ty,_) i -> Cic.Prod (Cic.Name name, ty, i))
- itl te
- in
- let _ = type_of augmented_term in
- (* let's check also the positivity conditions *)
- if not (are_all_occurrences_positive uri indparamsno i 0 len te)
- then
- raise (NotPositiveOccurrences (U.string_of_uri uri))
- else
- match !r with
- Some _ -> raise Impossible
- | None -> r := Some (recursive_args 0 len te)
- ) cl ;
- (i + 1)
- ) itl 1
- in
- ()
- | _ ->
- raise (WrongUriToMutualInductiveDefinitions (U.string_of_uri uri))
-
-and cooked_type_of_mutual_inductive_defs uri cookingsno i =
- let module C = Cic in
- let module R = CicReduction in
- let module U = UriManager in
- let cobj =
- match CicCache.is_type_checked uri cookingsno with
- CicCache.CheckedObj cobj -> cobj
- | CicCache.UncheckedObj uobj ->
- cooked_mutual_inductive_defs uri uobj ;
- CicCache.set_type_checking_info uri ;
- (match CicCache.is_type_checked uri cookingsno with
- CicCache.CheckedObj cobj -> cobj
- | CicCache.UncheckedObj _ -> raise CicCacheError
- )
- in
- match cobj with
- C.InductiveDefinition (dl,_,_) ->
- let (_,_,arity,_) = List.nth dl i in
- arity
- | _ -> raise (WrongUriToMutualInductiveDefinitions (U.string_of_uri uri))
-
-and cooked_type_of_mutual_inductive_constr uri cookingsno i j =
- let module C = Cic in
- let module R = CicReduction in
- let module U = UriManager in
- let cobj =
- match CicCache.is_type_checked uri cookingsno with
- CicCache.CheckedObj cobj -> cobj
- | CicCache.UncheckedObj uobj ->
- cooked_mutual_inductive_defs uri uobj ;
- CicCache.set_type_checking_info uri ;
- (match CicCache.is_type_checked uri cookingsno with
- CicCache.CheckedObj cobj -> cobj
- | CicCache.UncheckedObj _ -> raise CicCacheError
- )
- in
- match cobj with
- C.InductiveDefinition (dl,_,_) ->
- let (_,_,_,cl) = List.nth dl i in
- let (_,ty,_) = List.nth cl (j-1) in
- ty
- | _ -> raise (WrongUriToMutualInductiveDefinitions (U.string_of_uri uri))
-
-and recursive_args n nn te =
- let module C = Cic in
- match CicReduction.whd te with
- C.Rel _ -> []
- | C.Var _
- | C.Meta _
- | C.Sort _
- | C.Implicit
- | C.Cast _ (*CSC ??? *) -> raise Impossible (* due to type-checking *)
- | C.Prod (_,so,de) ->
- (not (does_not_occur n nn so))::(recursive_args (n+1) (nn + 1) de)
- | C.Lambda _ -> raise Impossible (* due to type-checking *)
- | C.LetIn _ -> raise NotImplemented
- | C.Appl _ -> []
- | C.Const _
- | C.Abst _ -> raise Impossible
- | C.MutInd _
- | C.MutConstruct _
- | C.MutCase _
- | C.Fix _
- | C.CoFix _ -> raise Impossible (* due to type-checking *)
-
-and get_new_safes p c rl safes n nn x =
- let module C = Cic in
- let module U = UriManager in
- let module R = CicReduction in
- match (R.whd c, R.whd p, rl) with
- (C.Prod (_,_,ta1), C.Lambda (_,_,ta2), b::tl) ->
- (* we are sure that the two sources are convertible because we *)
- (* have just checked this. So let's go along ... *)
- let safes' =
- List.map (fun x -> x + 1) safes
- in
- let safes'' =
- if b then 1::safes' else safes'
- in
- get_new_safes ta2 ta1 tl safes'' (n+1) (nn+1) (x+1)
- | (C.MutInd _, e, []) -> (e,safes,n,nn,x)
- | (C.Appl _, e, []) -> (e,safes,n,nn,x)
- | (_,_,_) -> raise Impossible
-
-and eat_prods n te =
- let module C = Cic in
- let module R = CicReduction in
- match (n, R.whd te) with
- (0, _) -> te
- | (n, C.Prod (_,_,ta)) when n > 0 -> eat_prods (n - 1) ta
- | (_, _) -> raise Impossible
-
-and eat_lambdas n te =
- let module C = Cic in
- let module R = CicReduction in
- match (n, R.whd te) with
- (0, _) -> (te, 0)
- | (n, C.Lambda (_,_,ta)) when n > 0 ->
- let (te, k) = eat_lambdas (n - 1) ta in
- (te, k + 1)
- | (_, _) -> raise Impossible
-
-(*CSC: Tutto quello che segue e' l'intuzione di luca ;-) *)
-and check_is_really_smaller_arg n nn kl x safes te =
- (*CSC: forse la whd si puo' fare solo quando serve veramente. *)
- (*CSC: cfr guarded_by_destructors *)
- let module C = Cic in
- let module U = UriManager in
- match CicReduction.whd te with
- C.Rel m when List.mem m safes -> true
- | C.Rel _ -> false
- | C.Var _
- | C.Meta _
- | C.Sort _
- | C.Implicit
- | C.Cast _
-(* | C.Cast (te,ty) ->
- check_is_really_smaller_arg n nn kl x safes te &&
- check_is_really_smaller_arg n nn kl x safes ty*)
-(* | C.Prod (_,so,ta) ->
- check_is_really_smaller_arg n nn kl x safes so &&
- check_is_really_smaller_arg (n+1) (nn+1) kl (x+1)
- (List.map (fun x -> x + 1) safes) ta*)
- | C.Prod _ -> raise Impossible
- | C.Lambda (_,so,ta) ->
- check_is_really_smaller_arg n nn kl x safes so &&
- check_is_really_smaller_arg (n+1) (nn+1) kl (x+1)
- (List.map (fun x -> x + 1) safes) ta
- | C.LetIn (_,so,ta) ->
- check_is_really_smaller_arg n nn kl x safes so &&
- check_is_really_smaller_arg (n+1) (nn+1) kl (x+1)
- (List.map (fun x -> x + 1) safes) ta
- | C.Appl (he::_) ->
- (*CSC: sulla coda ci vogliono dei controlli? secondo noi no, ma *)
- (*CSC: solo perche' non abbiamo trovato controesempi *)
- check_is_really_smaller_arg n nn kl x safes he
- | C.Appl [] -> raise Impossible
- | C.Const _
- | C.Abst _
- | C.MutInd _ -> raise Impossible
- | C.MutConstruct _ -> false
- | C.MutCase (uri,_,i,outtype,term,pl) ->
- (match term with
- C.Rel m when List.mem m safes || m = x ->
- let (isinductive,paramsno,cl) =
- match CicCache.get_obj uri with
- C.InductiveDefinition (tl,_,paramsno) ->
- let (_,isinductive,_,cl) = List.nth tl i in
- let cl' =
- List.map (fun (id,ty,r) -> (id, eat_prods paramsno ty, r)) cl
- in
- (isinductive,paramsno,cl')
- | _ ->
- raise (WrongUriToMutualInductiveDefinitions(U.string_of_uri uri))
- in
- if not isinductive then
- List.fold_right
- (fun p i -> i && check_is_really_smaller_arg n nn kl x safes p)
- pl true
- else
- List.fold_right
- (fun (p,(_,c,rl)) i ->
- let rl' =
- match !rl with
- Some rl' ->
- let (_,rl'') = split rl' paramsno in
- rl''
- | None -> raise Impossible
- in
- let (e,safes',n',nn',x') =
- get_new_safes p c rl' safes n nn x
- in
- i &&
- check_is_really_smaller_arg n' nn' kl x' safes' e
- ) (List.combine pl cl) true
- | C.Appl ((C.Rel m)::tl) when List.mem m safes || m = x ->
- let (isinductive,paramsno,cl) =
- match CicCache.get_obj uri with
- C.InductiveDefinition (tl,_,paramsno) ->
- let (_,isinductive,_,cl) = List.nth tl i in
- let cl' =
- List.map (fun (id,ty,r) -> (id, eat_prods paramsno ty, r)) cl
- in
- (isinductive,paramsno,cl')
- | _ ->
- raise (WrongUriToMutualInductiveDefinitions(U.string_of_uri uri))
- in
- if not isinductive then
- List.fold_right
- (fun p i -> i && check_is_really_smaller_arg n nn kl x safes p)
- pl true
- else
- (*CSC: supponiamo come prima che nessun controllo sia necessario*)
- (*CSC: sugli argomenti di una applicazione *)
- List.fold_right
- (fun (p,(_,c,rl)) i ->
- let rl' =
- match !rl with
- Some rl' ->
- let (_,rl'') = split rl' paramsno in
- rl''
- | None -> raise Impossible
- in
- let (e, safes',n',nn',x') =
- get_new_safes p c rl' safes n nn x
- in
- i &&
- check_is_really_smaller_arg n' nn' kl x' safes' e
- ) (List.combine pl cl) true
- | _ ->
- List.fold_right
- (fun p i -> i && check_is_really_smaller_arg n nn kl x safes p)
- pl true
- )
- | C.Fix (_, fl) ->
- let len = List.length fl in
- let n_plus_len = n + len
- and nn_plus_len = nn + len
- and x_plus_len = x + len
- and safes' = List.map (fun x -> x + len) safes in
- List.fold_right
- (fun (_,_,ty,bo) i ->
- i &&
- check_is_really_smaller_arg n_plus_len nn_plus_len kl x_plus_len
- safes' bo
- ) fl true
- | C.CoFix (_, fl) ->
- let len = List.length fl in
- let n_plus_len = n + len
- and nn_plus_len = nn + len
- and x_plus_len = x + len
- and safes' = List.map (fun x -> x + len) safes in
- List.fold_right
- (fun (_,ty,bo) i ->
- i &&
- check_is_really_smaller_arg n_plus_len nn_plus_len kl x_plus_len
- safes' bo
- ) fl true
-
-and guarded_by_destructors n nn kl x safes =
- let module C = Cic in
- let module U = UriManager in
- function
- C.Rel m when m > n && m <= nn -> false
- | C.Rel _
- | C.Var _
- | C.Meta _
- | C.Sort _
- | C.Implicit -> true
- | C.Cast (te,ty) ->
- guarded_by_destructors n nn kl x safes te &&
- guarded_by_destructors n nn kl x safes ty
- | C.Prod (_,so,ta) ->
- guarded_by_destructors n nn kl x safes so &&
- guarded_by_destructors (n+1) (nn+1) kl (x+1)
- (List.map (fun x -> x + 1) safes) ta
- | C.Lambda (_,so,ta) ->
- guarded_by_destructors n nn kl x safes so &&
- guarded_by_destructors (n+1) (nn+1) kl (x+1)
- (List.map (fun x -> x + 1) safes) ta
- | C.LetIn (_,so,ta) ->
- guarded_by_destructors n nn kl x safes so &&
- guarded_by_destructors (n+1) (nn+1) kl (x+1)
- (List.map (fun x -> x + 1) safes) ta
- | C.Appl ((C.Rel m)::tl) when m > n && m <= nn ->
- let k = List.nth kl (m - n - 1) in
- if not (List.length tl > k) then false
- else
- List.fold_right
- (fun param i ->
- i && guarded_by_destructors n nn kl x safes param
- ) tl true &&
- check_is_really_smaller_arg n nn kl x safes (List.nth tl k)
- | C.Appl tl ->
- List.fold_right (fun t i -> i && guarded_by_destructors n nn kl x safes t)
- tl true
- | C.Const _
- | C.Abst _
- | C.MutInd _
- | C.MutConstruct _ -> true
- | C.MutCase (uri,_,i,outtype,term,pl) ->
- (match term with
- C.Rel m when List.mem m safes || m = x ->
- let (isinductive,paramsno,cl) =
- match CicCache.get_obj uri with
- C.InductiveDefinition (tl,_,paramsno) ->
- let (_,isinductive,_,cl) = List.nth tl i in
- let cl' =
- List.map (fun (id,ty,r) -> (id, eat_prods paramsno ty, r)) cl
- in
- (isinductive,paramsno,cl')
- | _ ->
- raise (WrongUriToMutualInductiveDefinitions(U.string_of_uri uri))
- in
- if not isinductive then
- guarded_by_destructors n nn kl x safes outtype &&
- guarded_by_destructors n nn kl x safes term &&
- (*CSC: manca ??? il controllo sul tipo di term? *)
- List.fold_right
- (fun p i -> i && guarded_by_destructors n nn kl x safes p)
- pl true
- else
- guarded_by_destructors n nn kl x safes outtype &&
- (*CSC: manca ??? il controllo sul tipo di term? *)
- List.fold_right
- (fun (p,(_,c,rl)) i ->
- let rl' =
- match !rl with
- Some rl' ->
- let (_,rl'') = split rl' paramsno in
- rl''
- | None -> raise Impossible
- in
- let (e,safes',n',nn',x') =
- get_new_safes p c rl' safes n nn x
- in
- i &&
- guarded_by_destructors n' nn' kl x' safes' e
- ) (List.combine pl cl) true
- | C.Appl ((C.Rel m)::tl) when List.mem m safes || m = x ->
- let (isinductive,paramsno,cl) =
- match CicCache.get_obj uri with
- C.InductiveDefinition (tl,_,paramsno) ->
- let (_,isinductive,_,cl) = List.nth tl i in
- let cl' =
- List.map (fun (id,ty,r) -> (id, eat_prods paramsno ty, r)) cl
- in
- (isinductive,paramsno,cl')
- | _ ->
- raise (WrongUriToMutualInductiveDefinitions(U.string_of_uri uri))
- in
- if not isinductive then
- guarded_by_destructors n nn kl x safes outtype &&
- guarded_by_destructors n nn kl x safes term &&
- (*CSC: manca ??? il controllo sul tipo di term? *)
- List.fold_right
- (fun p i -> i && guarded_by_destructors n nn kl x safes p)
- pl true
- else
- guarded_by_destructors n nn kl x safes outtype &&
- (*CSC: manca ??? il controllo sul tipo di term? *)
- List.fold_right
- (fun t i -> i && guarded_by_destructors n nn kl x safes t)
- tl true &&
- List.fold_right
- (fun (p,(_,c,rl)) i ->
- let rl' =
- match !rl with
- Some rl' ->
- let (_,rl'') = split rl' paramsno in
- rl''
- | None -> raise Impossible
- in
- let (e, safes',n',nn',x') =
- get_new_safes p c rl' safes n nn x
- in
- i &&
- guarded_by_destructors n' nn' kl x' safes' e
- ) (List.combine pl cl) true
- | _ ->
- guarded_by_destructors n nn kl x safes outtype &&
- guarded_by_destructors n nn kl x safes term &&
- (*CSC: manca ??? il controllo sul tipo di term? *)
- List.fold_right
- (fun p i -> i && guarded_by_destructors n nn kl x safes p)
- pl true
- )
- | C.Fix (_, fl) ->
- let len = List.length fl in
- let n_plus_len = n + len
- and nn_plus_len = nn + len
- and x_plus_len = x + len
- and safes' = List.map (fun x -> x + len) safes in
- List.fold_right
- (fun (_,_,ty,bo) i ->
- i && guarded_by_destructors n_plus_len nn_plus_len kl x_plus_len
- safes' ty &&
- guarded_by_destructors n_plus_len nn_plus_len kl x_plus_len
- safes' bo
- ) fl true
- | C.CoFix (_, fl) ->
- let len = List.length fl in
- let n_plus_len = n + len
- and nn_plus_len = nn + len
- and x_plus_len = x + len
- and safes' = List.map (fun x -> x + len) safes in
- List.fold_right
- (fun (_,ty,bo) i ->
- i && guarded_by_destructors n_plus_len nn_plus_len kl x_plus_len
- safes' ty &&
- guarded_by_destructors n_plus_len nn_plus_len kl x_plus_len safes'
- bo
- ) fl true
-
-(*CSC h = 0 significa non ancora protetto *)
-and guarded_by_constructors n nn h =
- let module C = Cic in
- function
- C.Rel m when m > n && m <= nn -> h = 1
- | C.Rel _
- | C.Var _
- | C.Meta _
- | C.Sort _
- | C.Implicit -> true (*CSC: ma alcuni sono impossibili!!!! vedi Prod *)
- | C.Cast (te,ty) ->
- guarded_by_constructors n nn h te &&
- guarded_by_constructors n nn h ty
- | C.Prod (_,so,de) ->
- raise Impossible (* the term has just been type-checked *)
- | C.Lambda (_,so,de) ->
- does_not_occur n nn so &&
- guarded_by_constructors (n + 1) (nn + 1) h de
- | C.LetIn (_,so,de) ->
- does_not_occur n nn so &&
- guarded_by_constructors (n + 1) (nn + 1) h de
- | C.Appl ((C.Rel m)::tl) when m > n && m <= nn ->
- h = 1 &&
- List.fold_right (fun x i -> i && does_not_occur n nn x) tl true
- | C.Appl ((C.MutConstruct (uri,cookingsno,i,j))::tl) ->
- let (is_coinductive, rl) =
- match CicCache.get_cooked_obj uri cookingsno with
- C.InductiveDefinition (itl,_,_) ->
- let (_,is_inductive,_,cl) = List.nth itl i in
- let (_,cons,rrec_args) = List.nth cl (j - 1) in
- (match !rrec_args with
- None -> raise Impossible
- | Some rec_args -> (not is_inductive, rec_args)
- )
- | _ ->
- raise (WrongUriToMutualInductiveDefinitions
- (UriManager.string_of_uri uri))
- in
- is_coinductive &&
- List.fold_right
- (fun (x,r) i ->
- i &&
- if r then
- guarded_by_constructors n nn 1 x
- else
- does_not_occur n nn x
- ) (List.combine tl rl) true
- | C.Appl l ->
- List.fold_right (fun x i -> i && does_not_occur n nn x) l true
- | C.Const _
- | C.Abst _
- | C.MutInd _
- | C.MutConstruct _ -> true (*CSC: ma alcuni sono impossibili!!!! vedi Prod *)
- | C.MutCase (_,_,_,out,te,pl) ->
- let rec returns_a_coinductive =
- function
- (*CSC: per le regole di tipaggio, la chiamata ricorsiva verra' *)
- (*CSC: effettata solo una volta, per mangiarsi l'astrazione *)
- (*CSC: non dummy *)
- C.Lambda (_,_,de) -> returns_a_coinductive de
- | C.MutInd (uri,_,i) ->
- (*CSC: definire una funzioncina per questo codice sempre replicato *)
- (match CicCache.get_obj uri with
- C.InductiveDefinition (itl,_,_) ->
- let (_,is_inductive,_,_) = List.nth itl i in
- not is_inductive
- | _ ->
- raise (WrongUriToMutualInductiveDefinitions
- (UriManager.string_of_uri uri))
- )
- (*CSC: bug nella prossima riga (manca la whd) *)
- | C.Appl ((C.MutInd (uri,_,i))::_) ->
- (match CicCache.get_obj uri with
- C.InductiveDefinition (itl,_,_) ->
- let (_,is_inductive,_,_) = List.nth itl i in
- not is_inductive
- | _ ->
- raise (WrongUriToMutualInductiveDefinitions
- (UriManager.string_of_uri uri))
- )
- | _ -> false
- in
- does_not_occur n nn out &&
- does_not_occur n nn te &&
- if returns_a_coinductive out then
- List.fold_right
- (fun x i -> i && guarded_by_constructors n nn h x) pl true
- else
- List.fold_right (fun x i -> i && does_not_occur n nn x) pl true
- | C.Fix (_,fl) ->
- let len = List.length fl in
- let n_plus_len = n + len
- and nn_plus_len = nn + len in
- List.fold_right
- (fun (_,_,ty,bo) i ->
- i && does_not_occur n_plus_len nn_plus_len ty &&
- does_not_occur n_plus_len nn_plus_len bo
- ) fl true
- | C.CoFix (_,fl) ->
- let len = List.length fl in
- let n_plus_len = n + len
- and nn_plus_len = nn + len in
- List.fold_right
- (fun (_,ty,bo) i ->
- i && does_not_occur n_plus_len nn_plus_len ty &&
- does_not_occur n_plus_len nn_plus_len bo
- ) fl true
-
-and check_allowed_sort_elimination uri i need_dummy ind arity1 arity2 =
- let module C = Cic in
- let module U = UriManager in
- match (CicReduction.whd arity1, CicReduction.whd arity2) with
- (C.Prod (_,so1,de1), C.Prod (_,so2,de2))
- when CicReduction.are_convertible so1 so2 ->
- check_allowed_sort_elimination uri i need_dummy
- (C.Appl [CicSubstitution.lift 1 ind ; C.Rel 1]) de1 de2
- | (C.Sort C.Prop, C.Sort C.Prop) when need_dummy -> true
- | (C.Sort C.Prop, C.Sort C.Set) when need_dummy ->
- (match CicCache.get_obj uri with
- C.InductiveDefinition (itl,_,_) ->
- let (_,_,_,cl) = List.nth itl i in
- (* is a singleton definition? *)
- List.length cl = 1
- | _ ->
- raise (WrongUriToMutualInductiveDefinitions (U.string_of_uri uri))
- )
- | (C.Sort C.Set, C.Sort C.Prop) when need_dummy -> true
- | (C.Sort C.Set, C.Sort C.Set) when need_dummy -> true
- | (C.Sort C.Set, C.Sort C.Type) when need_dummy ->
- (match CicCache.get_obj uri with
- C.InductiveDefinition (itl,_,_) ->
- let (_,_,_,cl) = List.nth itl i in
- (* is a small inductive type? *)
- (*CSC: ottimizzare calcolando staticamente *)
- let rec is_small =
- function
- C.Prod (_,so,de) ->
- let s = type_of so in
- (s = C.Sort C.Prop || s = C.Sort C.Set) &&
- is_small de
- | _ -> true (*CSC: we trust the type-checker *)
- in
- List.fold_right (fun (_,x,_) i -> i && is_small x) cl true
- | _ ->
- raise (WrongUriToMutualInductiveDefinitions (U.string_of_uri uri))
- )
- | (C.Sort C.Type, C.Sort _) when need_dummy -> true
- | (C.Sort C.Prop, C.Prod (_,so,ta)) when not need_dummy ->
- let res = CicReduction.are_convertible so ind
- in
- res &&
- (match CicReduction.whd ta with
- C.Sort C.Prop -> true
- | C.Sort C.Set ->
- (match CicCache.get_obj uri with
- C.InductiveDefinition (itl,_,_) ->
- let (_,_,_,cl) = List.nth itl i in
- (* is a singleton definition? *)
- List.length cl = 1
- | _ ->
- raise (WrongUriToMutualInductiveDefinitions
- (U.string_of_uri uri))
- )
- | _ -> false
- )
- | (C.Sort C.Set, C.Prod (_,so,ta)) when not need_dummy ->
- let res = CicReduction.are_convertible so ind
- in
- res &&
- (match CicReduction.whd ta with
- C.Sort C.Prop
- | C.Sort C.Set -> true
- | C.Sort C.Type ->
- (match CicCache.get_obj uri with
- C.InductiveDefinition (itl,_,_) ->
- let (_,_,_,cl) = List.nth itl i in
- (* is a small inductive type? *)
- let rec is_small =
- function
- C.Prod (_,so,de) ->
- let s = type_of so in
- (s = C.Sort C.Prop || s = C.Sort C.Set) &&
- is_small de
- | _ -> true (*CSC: we trust the type-checker *)
- in
- List.fold_right (fun (_,x,_) i -> i && is_small x) cl true
- | _ ->
- raise (WrongUriToMutualInductiveDefinitions
- (U.string_of_uri uri))
- )
- | _ -> raise Impossible
- )
- | (C.Sort C.Type, C.Prod (_,so,_)) when not need_dummy ->
- CicReduction.are_convertible so ind
- | (_,_) -> false
-
-and type_of_branch argsno need_dummy outtype term constype =
- let module C = Cic in
- let module R = CicReduction in
- match R.whd constype with
- C.MutInd (_,_,_) ->
- if need_dummy then
- outtype
- else
- C.Appl [outtype ; term]
- | C.Appl (C.MutInd (_,_,_)::tl) ->
- let (_,arguments) = split tl argsno
- in
- if need_dummy && arguments = [] then
- outtype
- else
- C.Appl (outtype::arguments@(if need_dummy then [] else [term]))
- | C.Prod (name,so,de) ->
- C.Prod (C.Name "pippo",so,type_of_branch argsno need_dummy
- (CicSubstitution.lift 1 outtype)
- (C.Appl [CicSubstitution.lift 1 term ; C.Rel 1]) de)
- | _ -> raise Impossible
-
-
-and type_of t =
- let rec type_of_aux env =
- let module C = Cic in
- let module R = CicReduction in
- let module S = CicSubstitution in
- let module U = UriManager in
- function
- C.Rel n -> S.lift n (List.nth env (n - 1))
- | C.Var uri ->
- incr fdebug ;
- let ty = type_of_variable uri in
- decr fdebug ;
- ty
- | C.Meta n -> raise NotImplemented
- | C.Sort s -> C.Sort C.Type (*CSC manca la gestione degli universi!!! *)
- | C.Implicit -> raise Impossible
- | C.Cast (te,ty) ->
- let _ = type_of ty in
- if R.are_convertible (type_of_aux env te) ty then ty
- else raise (NotWellTyped "Cast")
- | C.Prod (_,s,t) ->
- let sort1 = type_of_aux env s
- and sort2 = type_of_aux (s::env) t in
- sort_of_prod (sort1,sort2)
- | C.Lambda (n,s,t) ->
- let sort1 = type_of_aux env s
- and type2 = type_of_aux (s::env) t in
- let sort2 = type_of_aux (s::env) type2 in
- (* only to check if the product is well-typed *)
- let _ = sort_of_prod (sort1,sort2) in
- C.Prod (n,s,type2)
- | C.LetIn (n,s,t) ->
- let type1 = type_of_aux env s in
- let type2 = type_of_aux (type1::env) t in
- type2
- | C.Appl (he::tl) when List.length tl > 0 ->
- let hetype = type_of_aux env he
- and tlbody_and_type = List.map (fun x -> (x, type_of_aux env x)) tl in
- (try
- eat_prods hetype tlbody_and_type
- with _ -> debug (C.Appl (he::tl)) env ; C.Implicit)
- | C.Appl _ -> raise (NotWellTyped "Appl: no arguments")
- | C.Const (uri,cookingsno) ->
- incr fdebug ;
- let cty = cooked_type_of_constant uri cookingsno in
- decr fdebug ;
- cty
- | C.Abst _ -> raise Impossible
- | C.MutInd (uri,cookingsno,i) ->
- incr fdebug ;
- let cty = cooked_type_of_mutual_inductive_defs uri cookingsno i in
- decr fdebug ;
- cty
- | C.MutConstruct (uri,cookingsno,i,j) ->
- let cty = cooked_type_of_mutual_inductive_constr uri cookingsno i j
- in
- cty
- | C.MutCase (uri,cookingsno,i,outtype,term,pl) ->
- let outsort = type_of_aux env outtype in
- let (need_dummy, k) =
- let rec guess_args t =
- match decast t with
- C.Sort _ -> (true, 0)
- | C.Prod (_, s, t) ->
- let (b, n) = guess_args t in
- if n = 0 then
- (* last prod before sort *)
- match CicReduction.whd s with
- (*CSC vedi nota delirante su cookingsno in cicReduction.ml *)
- C.MutInd (uri',_,i') when U.eq uri' uri && i' = i -> (false, 1)
- | C.Appl ((C.MutInd (uri',_,i')) :: _)
- when U.eq uri' uri && i' = i -> (false, 1)
- | _ -> (true, 1)
- else
- (b, n + 1)
- | _ -> raise (NotWellTyped "MutCase: outtype ill-formed")
- in
- (*CSC whd non serve dopo type_of_aux ? *)
- let (b, k) = guess_args outsort in
- if not b then (b, k - 1) else (b, k)
- in
- let (parameters, arguments) =
- match R.whd (type_of_aux env term) with
- (*CSC manca il caso dei CAST *)
- C.MutInd (uri',_,i') ->
- (*CSC vedi nota delirante sui cookingsno in cicReduction.ml*)
- if U.eq uri uri' && i = i' then ([],[])
- else raise (NotWellTyped ("MutCase: the term is of type " ^
- (U.string_of_uri uri') ^ "," ^ string_of_int i' ^
- " instead of type " ^ (U.string_of_uri uri') ^ "," ^
- string_of_int i))
- | C.Appl (C.MutInd (uri',_,i') :: tl) ->
- if U.eq uri uri' && i = i' then split tl (List.length tl - k)
- else raise (NotWellTyped ("MutCase: the term is of type " ^
- (U.string_of_uri uri') ^ "," ^ string_of_int i' ^
- " instead of type " ^ (U.string_of_uri uri) ^ "," ^
- string_of_int i))
- | _ -> raise (NotWellTyped "MutCase: the term is not an inductive one")
- in
- (* let's control if the sort elimination is allowed: [(I q1 ... qr)|B] *)
- let sort_of_ind_type =
- if parameters = [] then
- C.MutInd (uri,cookingsno,i)
- else
- C.Appl ((C.MutInd (uri,cookingsno,i))::parameters)
- in
- if not (check_allowed_sort_elimination uri i need_dummy
- sort_of_ind_type (type_of_aux env sort_of_ind_type) outsort)
- then
- raise (NotWellTyped "MutCase: not allowed sort elimination") ;
-
- (* let's check if the type of branches are right *)
- let (cl,parsno) =
- match CicCache.get_cooked_obj uri cookingsno with
- C.InductiveDefinition (tl,_,parsno) ->
- let (_,_,_,cl) = List.nth tl i in (cl,parsno)
- | _ ->
- raise (WrongUriToMutualInductiveDefinitions (U.string_of_uri uri))
- in
- let (_,branches_ok) =
- List.fold_left
- (fun (j,b) (p,(_,c,_)) ->
- let cons =
- if parameters = [] then
- (C.MutConstruct (uri,cookingsno,i,j))
- else
- (C.Appl (C.MutConstruct (uri,cookingsno,i,j)::parameters))
- in
- (j + 1, b &&
- R.are_convertible (type_of_aux env p)
- (type_of_branch parsno need_dummy outtype cons
- (type_of_aux env cons))
- )
- ) (1,true) (List.combine pl cl)
- in
- if not branches_ok then
- raise (NotWellTyped "MutCase: wrong type of a branch") ;
-
- if not need_dummy then
- C.Appl ((outtype::arguments)@[term])
- else if arguments = [] then
- outtype
- else
- C.Appl (outtype::arguments)
- | C.Fix (i,fl) ->
- let types_times_kl =
- List.rev
- (List.map (fun (_,k,ty,_) -> let _ = type_of_aux env ty in (ty,k)) fl)
- in
- let (types,kl) = List.split types_times_kl in
- let len = List.length types in
- List.iter
- (fun (name,x,ty,bo) ->
- if (R.are_convertible (type_of_aux (types @ env) bo)
- (CicSubstitution.lift len ty))
- then
- begin
- let (m, eaten) = eat_lambdas (x + 1) bo in
- (*let's control the guarded by destructors conditions D{f,k,x,M}*)
- if not (guarded_by_destructors eaten (len + eaten) kl 1 [] m) then
- raise (NotWellTyped "Fix: not guarded by destructors")
- end
- else
- raise (NotWellTyped "Fix: ill-typed bodies")
- ) fl ;
-
- (*CSC: controlli mancanti solo su D{f,k,x,M} *)
- let (_,_,ty,_) = List.nth fl i in
- ty
- | C.CoFix (i,fl) ->
- let types =
- List.rev (List.map (fun (_,ty,_) -> let _ = type_of_aux env ty in ty) fl)
- in
- let len = List.length types in
- List.iter
- (fun (_,ty,bo) ->
- if (R.are_convertible (type_of_aux (types @ env) bo)
- (CicSubstitution.lift len ty))
- then
- begin
- (* let's control the guarded by constructors conditions C{f,M} *)
- if not (guarded_by_constructors 0 len 0 bo) then
- raise (NotWellTyped "CoFix: not guarded by constructors")
- end
- else
- raise (NotWellTyped "CoFix: ill-typed bodies")
- ) fl ;
-
- let (_,ty,_) = List.nth fl i in
- ty
-
- and decast =
- let module C = Cic in
- function
- C.Cast (t,_) -> t
- | t -> t
-
- and sort_of_prod (t1, t2) =
- let module C = Cic in
- match (decast t1, decast t2) with
- (C.Sort s1, C.Sort s2)
- when (s2 = C.Prop or s2 = C.Set) -> (* different from Coq manual!!! *)
- C.Sort s2
- | (C.Sort s1, C.Sort s2) -> C.Sort C.Type (*CSC manca la gestione degli universi!!! *)
- | (_,_) -> raise (NotWellTyped "Prod")
-
- and eat_prods hetype =
- (*CSC: siamo sicuri che le are_convertible non lavorino con termini non *)
- (*CSC: cucinati *)
- function
- [] -> hetype
- | (hete, hety)::tl ->
- (match (CicReduction.whd hetype) with
- Cic.Prod (n,s,t) ->
- if CicReduction.are_convertible s hety then
- (CicReduction.fdebug := -1 ;
- eat_prods (CicSubstitution.subst hete t) tl
- )
- else
- (
- CicReduction.fdebug := 0 ;
- let _ = CicReduction.are_convertible s hety in
- debug hete [hety ; s] ;
- raise (NotWellTyped "Appl: wrong parameter-type")
-)
- | _ -> raise (NotWellTyped "Appl: wrong Prod-type")
- )
- in
- type_of_aux [] t
-;;
-
-let typecheck uri =
- let module C = Cic in
- let module R = CicReduction in
- let module U = UriManager in
- match CicCache.is_type_checked uri 0 with
- CicCache.CheckedObj _ -> ()
- | CicCache.UncheckedObj uobj ->
- (* let's typecheck the uncooked object *)
- (match uobj with
- C.Definition (_,te,ty,_) ->
- let _ = type_of ty in
- if not (R.are_convertible (type_of te ) ty) then
- raise (NotWellTyped ("Constant " ^ (U.string_of_uri uri)))
- | C.Axiom (_,ty,_) ->
- (* only to check that ty is well-typed *)
- let _ = type_of ty in ()
- | C.CurrentProof (_,_,te,ty) ->
- (*CSC [] wrong *)
- let _ = type_of ty in
- debug (type_of te) [] ;
- if not (R.are_convertible (type_of te) ty) then
- raise (NotWellTyped ("CurrentProof" ^ (U.string_of_uri uri)))
- | C.Variable (_,bo,ty) ->
- (* only to check that ty is well-typed *)
- let _ = type_of ty in
- (match bo with
- None -> ()
- | Some bo ->
- if not (R.are_convertible (type_of bo) ty) then
- raise (NotWellTyped ("Variable" ^ (U.string_of_uri uri)))
- )
- | C.InductiveDefinition _ ->
- cooked_mutual_inductive_defs uri uobj
- ) ;
- CicCache.set_type_checking_info uri
-;;
projects / helm.git / blobdiff