let rec debug_aux t i =
let module C = Cic in
let module U = UriManager in
- CicPp.ppobj (C.Variable ("DEBUG", None, t)) ^ "\n" ^ i
+ CicPp.ppobj (C.Variable ("DEBUG", None, t, [])) ^ "\n" ^ i
in
if !fdebug = 0 then
raise (NotWellTyped ("\n" ^ List.fold_right debug_aux (t::context) ""))
| (_,_) -> raise ListTooShort
;;
+let debrujin_constructor uri number_of_types =
+ let rec aux k =
+ let module C = Cic in
+ function
+ C.Rel n as t when n <= k -> t
+ | C.Rel _ ->
+ raise (NotWellTyped ("Debrujin: open term found"))
+ | C.Var (uri,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map (function (uri,t) -> (uri,aux k t)) exp_named_subst
+ in
+ C.Var (uri,exp_named_subst')
+ | C.Meta _ -> assert false
+ | C.Sort _
+ | C.Implicit as t -> t
+ | C.Cast (te,ty) -> C.Cast (aux k te, aux k ty)
+ | C.Prod (n,s,t) -> C.Prod (n, aux k s, aux (k+1) t)
+ | C.Lambda (n,s,t) -> C.Lambda (n, aux k s, aux (k+1) t)
+ | C.LetIn (n,s,t) -> C.LetIn (n, aux k s, aux (k+1) t)
+ | C.Appl l -> C.Appl (List.map (aux k) l)
+ | C.Const (uri,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map (function (uri,t) -> (uri,aux k t)) exp_named_subst
+ in
+ C.Const (uri,exp_named_subst')
+ | C.MutInd (uri',tyno,exp_named_subst) when UriManager.eq uri uri' ->
+ if exp_named_subst != [] then
+ raise
+ (NotWellTyped
+ ("Debrujin: a non-empty explicit named substitution is applied to " ^
+ "a mutual inductive type which is being defined")) ;
+ C.Rel (k + number_of_types - tyno) ;
+ | C.MutInd (uri',tyno,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map (function (uri,t) -> (uri,aux k t)) exp_named_subst
+ in
+ C.MutInd (uri',tyno,exp_named_subst')
+ | C.MutConstruct (uri,tyno,consno,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map (function (uri,t) -> (uri,aux k t)) exp_named_subst
+ in
+ C.MutConstruct (uri,tyno,consno,exp_named_subst')
+ | C.MutCase (sp,i,outty,t,pl) ->
+ C.MutCase (sp, i, aux k outty, aux k t,
+ List.map (aux k) pl)
+ | C.Fix (i, fl) ->
+ let len = List.length fl in
+ let liftedfl =
+ List.map
+ (fun (name, i, ty, bo) -> (name, i, aux k ty, aux (k+len) bo))
+ fl
+ in
+ C.Fix (i, liftedfl)
+ | C.CoFix (i, fl) ->
+ let len = List.length fl in
+ let liftedfl =
+ List.map
+ (fun (name, ty, bo) -> (name, aux k ty, aux (k+len) bo))
+ fl
+ in
+ C.CoFix (i, liftedfl)
+ in
+ aux 0
+;;
+
exception CicEnvironmentError;;
-let rec cooked_type_of_constant uri cookingsno =
+let rec type_of_constant uri =
let module C = Cic in
let module R = CicReduction in
let module U = UriManager in
let cobj =
- match CicEnvironment.is_type_checked uri cookingsno with
+ match CicEnvironment.is_type_checked ~trust:true uri with
CicEnvironment.CheckedObj cobj -> cobj
| CicEnvironment.UncheckedObj uobj ->
Logger.log (`Start_type_checking uri) ;
(* let's typecheck the uncooked obj *)
(match uobj with
- C.Definition (_,te,ty,_) ->
+ C.Constant (_,Some 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,_) ->
+ | C.Constant (_,None,ty,_) ->
(* only to check that ty is well-typed *)
let _ = type_of ty in ()
- | C.CurrentProof (_,conjs,te,ty) ->
- let _ = type_of_aux' conjs [] ty in
- if not (R.are_convertible [] (type_of_aux' conjs [] te) ty)
- then
- raise (NotWellTyped ("CurrentProof" ^ (U.string_of_uri uri)))
+ | C.CurrentProof (_,conjs,te,ty,_) ->
+ let _ =
+ List.fold_left
+ (fun metasenv ((_,context,ty) as conj) ->
+ ignore (type_of_aux' metasenv context ty) ;
+ metasenv @ [conj]
+ ) [] conjs
+ in
+ let _ = type_of_aux' conjs [] ty in
+ if not (R.are_convertible [] (type_of_aux' conjs [] te) ty)
+ then
+ raise (NotWellTyped ("CurrentProof" ^ (U.string_of_uri uri)))
| _ -> raise (WrongUriToConstant (U.string_of_uri uri))
) ;
CicEnvironment.set_type_checking_info uri ;
Logger.log (`Type_checking_completed uri) ;
- match CicEnvironment.is_type_checked uri cookingsno with
+ match CicEnvironment.is_type_checked ~trust:false uri with
CicEnvironment.CheckedObj cobj -> cobj
| CicEnvironment.UncheckedObj _ -> raise CicEnvironmentError
in
match cobj with
- C.Definition (_,_,ty,_) -> ty
- | C.Axiom (_,ty,_) -> ty
- | C.CurrentProof (_,_,_,ty) -> ty
+ C.Constant (_,_,ty,_) -> ty
+ | C.CurrentProof (_,_,_,ty,_) -> ty
| _ -> raise (WrongUriToConstant (U.string_of_uri uri))
and type_of_variable uri =
let module R = CicReduction in
let module U = UriManager in
(* 0 because a variable is never cooked => no partial cooking at one level *)
- match CicEnvironment.is_type_checked uri 0 with
- CicEnvironment.CheckedObj (C.Variable (_,_,ty)) -> ty
- | CicEnvironment.UncheckedObj (C.Variable (_,bo,ty)) ->
+ match CicEnvironment.is_type_checked ~trust:true uri with
+ CicEnvironment.CheckedObj (C.Variable (_,_,ty,_)) -> ty
+ | CicEnvironment.UncheckedObj (C.Variable (_,bo,ty,_)) ->
Logger.log (`Start_type_checking uri) ;
(* only to check that ty is well-typed *)
let _ = type_of ty in
match CicReduction.whd context te with
C.Rel m when m > n && m <= nn -> false
| C.Rel _
- | C.Var _
| C.Meta _
| C.Sort _
| C.Implicit -> true
does_not_occur ((Some (name,(C.Def so)))::context) (n + 1) (nn + 1) dest
| C.Appl l ->
List.fold_right (fun x i -> i && does_not_occur context n nn x) l true
- | C.Const _
- | C.Abst _
- | C.MutInd _
- | C.MutConstruct _ -> true
- | C.MutCase (_,_,_,out,te,pl) ->
+ | C.Var (_,exp_named_subst)
+ | C.Const (_,exp_named_subst)
+ | C.MutInd (_,_,exp_named_subst)
+ | C.MutConstruct (_,_,_,exp_named_subst) ->
+ List.fold_right (fun (_,x) i -> i && does_not_occur context n nn x)
+ exp_named_subst true
+ | C.MutCase (_,_,out,te,pl) ->
does_not_occur context n nn out && does_not_occur context n nn te &&
List.fold_right (fun x i -> i && does_not_occur context n nn x) pl true
| C.Fix (_,fl) ->
let module C = Cic in
(*CSC: Che schifo! Bisogna capire meglio e trovare una soluzione ragionevole!*)
let dummy_mutind =
- C.MutInd (UriManager.uri_of_string "cic:/Coq/Init/Datatypes/nat.ind",0,0)
+ C.MutInd (UriManager.uri_of_string "cic:/Coq/Init/Datatypes/nat.ind",0,[])
in
(*CSC mettere in cicSubstitution *)
let rec subst_inductive_type_with_dummy_mutind =
function
- C.MutInd (uri',_,0) when UriManager.eq uri' uri ->
+ C.MutInd (uri',0,_) when UriManager.eq uri' uri ->
dummy_mutind
- | C.Appl ((C.MutInd (uri',_,0))::tl) when UriManager.eq uri' uri ->
+ | C.Appl ((C.MutInd (uri',0,_))::tl) when UriManager.eq uri' uri ->
dummy_mutind
| C.Cast (te,ty) -> subst_inductive_type_with_dummy_mutind te
| C.Prod (name,so,ta) ->
subst_inductive_type_with_dummy_mutind ta)
| C.Appl tl ->
C.Appl (List.map subst_inductive_type_with_dummy_mutind tl)
- | C.MutCase (uri,cookingsno,i,outtype,term,pl) ->
- C.MutCase (uri,cookingsno,i,
+ | C.MutCase (uri,i,outtype,term,pl) ->
+ C.MutCase (uri,i,
subst_inductive_type_with_dummy_mutind outtype,
subst_inductive_type_with_dummy_mutind term,
List.map subst_inductive_type_with_dummy_mutind pl)
C.CoFix (i,List.map (fun (name,ty,bo) -> (name,
subst_inductive_type_with_dummy_mutind ty,
subst_inductive_type_with_dummy_mutind bo)) fl)
+ | C.Const (uri,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map
+ (function (uri,t) -> (uri,subst_inductive_type_with_dummy_mutind t))
+ exp_named_subst
+ in
+ C.Const (uri,exp_named_subst')
+ | C.MutInd (uri,typeno,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map
+ (function (uri,t) -> (uri,subst_inductive_type_with_dummy_mutind t))
+ exp_named_subst
+ in
+ C.MutInd (uri,typeno,exp_named_subst')
+ | C.MutConstruct (uri,typeno,consno,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map
+ (function (uri,t) -> (uri,subst_inductive_type_with_dummy_mutind t))
+ exp_named_subst
+ in
+ C.MutConstruct (uri,typeno,consno,exp_named_subst')
| t -> t
in
match CicReduction.whd context 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) ->
+ 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.Anonymous,source,dest) ->
strictly_positive context n nn
(subst_inductive_type_with_dummy_mutind source) &&
- weakly_positive ((Some (C.Anonimous,(C.Decl source)))::context)
+ weakly_positive ((Some (C.Anonymous,(C.Decl source)))::context)
(n + 1) (nn + 1) uri dest
| C.Prod (name,source,dest) when
does_not_occur ((Some (name,(C.Decl source)))::context) 0 n dest ->
strictly_positive ((Some (name,(C.Decl so)))::context) (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 context n nn x) tl true
- | C.Appl ((C.MutInd (uri,_,i))::tl) ->
+ | C.Appl ((C.MutInd (uri,i,exp_named_subst))::tl) ->
let (ok,paramsno,ity,cl,name) =
match CicEnvironment.get_obj uri with
C.InductiveDefinition (tl,_,paramsno) ->
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
+ List.map
+ (fun (_,te) ->
+ instantiate_parameters lifted_params
+ (CicSubstitution.subst_vars exp_named_subst te)
+ ) cl
in
ok &&
List.fold_right
true
else
raise (WrongRequiredArgument (UriManager.string_of_uri uri))
- | C.Prod (C.Anonimous,source,dest) ->
+ | C.Prod (C.Anonymous,source,dest) ->
strictly_positive context n nn source &&
are_all_occurrences_positive
- ((Some (C.Anonimous,(C.Decl source)))::context) uri indparamsno
+ ((Some (C.Anonymous,(C.Decl source)))::context) uri indparamsno
(i+1) (n + 1) (nn + 1) dest
| C.Prod (name,source,dest) when
does_not_occur ((Some (name,(C.Decl source)))::context) 0 n dest ->
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 =
+(* Main function to checks the correctness of a mutual *)
+(* inductive block definition. This is the function *)
+(* exported to the proof-engine. *)
+and typecheck_mutual_inductive_defs uri (itl,_,indparamsno) =
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 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
-(*CSC: siamo sicuri che non debba fare anche un List.rev? Il bug *)
-(*CSC: si manifesterebbe solamene con tipi veramente mutualmente *)
-(*CSC: induttivi... *)
- let tys =
- List.map (fun (n,_,ty,_) -> Some (Cic.Name n,(Cic.Decl ty))) 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 tys uri indparamsno i 0 len te)
- then
- raise (NotPositiveOccurrences (U.string_of_uri uri))
- else
- match !r with
- Some _ -> raise (Impossible 2)
- | None -> r := Some (recursive_args tys 0 len te)
- ) cl ;
- (i + 1)
- ) itl 1
- in
- ()
- | _ ->
- raise (WrongUriToMutualInductiveDefinitions (U.string_of_uri uri))
+ (* 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 *)
+ let len = List.length itl in
+ let tys =
+ List.map (fun (n,_,ty,_) -> Some (Cic.Name n,(Cic.Decl ty))) itl in
+ let _ =
+ List.fold_right
+ (fun (_,_,_,cl) i ->
+ List.iter
+ (fun (name,te) ->
+ let debrujinedte = debrujin_constructor uri len te in
+ let augmented_term =
+ List.fold_right
+ (fun (name,_,ty,_) i -> Cic.Prod (Cic.Name name, ty, i))
+ itl debrujinedte
+ in
+ let _ = type_of augmented_term in
+ (* let's check also the positivity conditions *)
+ if
+ not
+ (are_all_occurrences_positive tys uri indparamsno i 0 len
+ debrujinedte)
+ then
+ raise (NotPositiveOccurrences (U.string_of_uri uri))
+ ) cl ;
+ (i + 1)
+ ) itl 1
+ in
+ ()
-and cooked_type_of_mutual_inductive_defs uri cookingsno i =
+(* Main function to checks the correctness of a mutual *)
+(* inductive block definition. *)
+and check_mutual_inductive_defs uri =
+ function
+ Cic.InductiveDefinition (itl, params, indparamsno) ->
+ typecheck_mutual_inductive_defs uri (itl,params,indparamsno)
+ | _ ->
+ raise (WrongUriToMutualInductiveDefinitions (UriManager.string_of_uri uri))
+
+and type_of_mutual_inductive_defs uri i =
let module C = Cic in
let module R = CicReduction in
let module U = UriManager in
let cobj =
- match CicEnvironment.is_type_checked uri cookingsno with
+ match CicEnvironment.is_type_checked ~trust:true uri with
CicEnvironment.CheckedObj cobj -> cobj
| CicEnvironment.UncheckedObj uobj ->
Logger.log (`Start_type_checking uri) ;
- cooked_mutual_inductive_defs uri uobj ;
+ check_mutual_inductive_defs uri uobj ;
CicEnvironment.set_type_checking_info uri ;
Logger.log (`Type_checking_completed uri) ;
- (match CicEnvironment.is_type_checked uri cookingsno with
+ (match CicEnvironment.is_type_checked ~trust:false uri with
CicEnvironment.CheckedObj cobj -> cobj
| CicEnvironment.UncheckedObj _ -> raise CicEnvironmentError
)
arity
| _ -> raise (WrongUriToMutualInductiveDefinitions (U.string_of_uri uri))
-and cooked_type_of_mutual_inductive_constr uri cookingsno i j =
+and type_of_mutual_inductive_constr uri i j =
let module C = Cic in
let module R = CicReduction in
let module U = UriManager in
let cobj =
- match CicEnvironment.is_type_checked uri cookingsno with
+ match CicEnvironment.is_type_checked ~trust:true uri with
CicEnvironment.CheckedObj cobj -> cobj
| CicEnvironment.UncheckedObj uobj ->
Logger.log (`Start_type_checking uri) ;
- cooked_mutual_inductive_defs uri uobj ;
+ check_mutual_inductive_defs uri uobj ;
CicEnvironment.set_type_checking_info uri ;
Logger.log (`Type_checking_completed uri) ;
- (match CicEnvironment.is_type_checked uri cookingsno with
+ (match CicEnvironment.is_type_checked ~trust:false uri with
CicEnvironment.CheckedObj cobj -> cobj
| CicEnvironment.UncheckedObj _ -> raise CicEnvironmentError
)
match cobj with
C.InductiveDefinition (dl,_,_) ->
let (_,_,_,cl) = List.nth dl i in
- let (_,ty,_) = List.nth cl (j-1) in
+ let (_,ty) = List.nth cl (j-1) in
ty
| _ -> raise (WrongUriToMutualInductiveDefinitions (U.string_of_uri uri))
| C.Lambda _
| C.LetIn _ -> raise (Impossible 4) (* due to type-checking *)
| C.Appl _ -> []
- | C.Const _
- | C.Abst _ -> raise (Impossible 5)
+ | C.Const _ -> raise (Impossible 5)
| C.MutInd _
| C.MutConstruct _
| C.MutCase _
check_is_really_smaller_arg context n nn kl x safes he
| C.Appl [] -> raise (Impossible 11)
| C.Const _
- | C.Abst _
| C.MutInd _ -> raise (Impossible 12)
| C.MutConstruct _ -> false
- | C.MutCase (uri,_,i,outtype,term,pl) ->
+ | C.MutCase (uri,i,outtype,term,pl) ->
(match term with
C.Rel m when List.mem m safes || m = x ->
- let (isinductive,paramsno,cl) =
+ let (tys,len,isinductive,paramsno,cl) =
match CicEnvironment.get_obj uri with
C.InductiveDefinition (tl,_,paramsno) ->
let tys =
let (_,isinductive,_,cl) = List.nth tl i in
let cl' =
List.map
- (fun (id,ty,r) ->
- (id, snd (split_prods tys paramsno ty), r)) cl
+ (fun (id,ty) ->
+ (id, snd (split_prods tys paramsno ty))) cl
in
- (isinductive,paramsno,cl')
+ (tys,List.length tl,isinductive,paramsno,cl')
| _ ->
raise (WrongUriToMutualInductiveDefinitions(U.string_of_uri uri))
in
pl true
else
List.fold_right
- (fun (p,(_,c,rl)) i ->
+ (fun (p,(_,c)) i ->
let rl' =
- match !rl with
- Some rl' ->
- let (_,rl'') = split rl' paramsno in
- rl''
- | None -> raise (Impossible 13)
+ let debrujinedte = debrujin_constructor uri len c in
+ recursive_args tys 0 len debrujinedte
in
let (e,safes',n',nn',x',context') =
get_new_safes context p c rl' safes n nn x
check_is_really_smaller_arg context' 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) =
+ let (tys,len,isinductive,paramsno,cl) =
match CicEnvironment.get_obj uri with
C.InductiveDefinition (tl,_,paramsno) ->
let (_,isinductive,_,cl) = List.nth tl i in
in
let cl' =
List.map
- (fun (id,ty,r) ->
- (id, snd (split_prods tys paramsno ty), r)) cl
+ (fun (id,ty) ->
+ (id, snd (split_prods tys paramsno ty))) cl
in
- (isinductive,paramsno,cl')
+ (tys,List.length tl,isinductive,paramsno,cl')
| _ ->
raise (WrongUriToMutualInductiveDefinitions(U.string_of_uri uri))
in
(*CSC: supponiamo come prima che nessun controllo sia necessario*)
(*CSC: sugli argomenti di una applicazione *)
List.fold_right
- (fun (p,(_,c,rl)) i ->
+ (fun (p,(_,c)) i ->
let rl' =
- match !rl with
- Some rl' ->
- let (_,rl'') = split rl' paramsno in
- rl''
- | None -> raise (Impossible 14)
+ let debrujinedte = debrujin_constructor uri len c in
+ recursive_args tys 0 len debrujinedte
in
let (e, safes',n',nn',x',context') =
get_new_safes context p c rl' safes n nn x
| Some (_,C.Def bo) -> guarded_by_destructors context n nn kl x safes bo
| None -> raise RelToHiddenHypothesis
)
- | C.Var _
| C.Meta _
| C.Sort _
| C.Implicit -> true
List.fold_right
(fun t i -> i && guarded_by_destructors context n nn kl x safes t)
tl true
- | C.Const _
- | C.Abst _
- | C.MutInd _
- | C.MutConstruct _ -> true
- | C.MutCase (uri,_,i,outtype,term,pl) ->
+ | C.Var (_,exp_named_subst)
+ | C.Const (_,exp_named_subst)
+ | C.MutInd (_,_,exp_named_subst)
+ | C.MutConstruct (_,_,_,exp_named_subst) ->
+ List.fold_right
+ (fun (_,t) i -> i && guarded_by_destructors context n nn kl x safes t)
+ exp_named_subst 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) =
+ let (tys,len,isinductive,paramsno,cl) =
match CicEnvironment.get_obj uri with
C.InductiveDefinition (tl,_,paramsno) ->
let (_,isinductive,_,cl) = List.nth tl i in
in
let cl' =
List.map
- (fun (id,ty,r) ->
- (id, snd (split_prods tys paramsno ty), r)) cl
+ (fun (id,ty) ->
+ (id, snd (split_prods tys paramsno ty))) cl
in
- (isinductive,paramsno,cl')
+ (tys,List.length tl,isinductive,paramsno,cl')
| _ ->
raise (WrongUriToMutualInductiveDefinitions(U.string_of_uri uri))
in
guarded_by_destructors context n nn kl x safes outtype &&
(*CSC: manca ??? il controllo sul tipo di term? *)
List.fold_right
- (fun (p,(_,c,rl)) i ->
+ (fun (p,(_,c)) i ->
let rl' =
- match !rl with
- Some rl' ->
- let (_,rl'') = split rl' paramsno in
- rl''
- | None -> raise (Impossible 15)
+ let debrujinedte = debrujin_constructor uri len c in
+ recursive_args tys 0 len debrujinedte
in
let (e,safes',n',nn',x',context') =
get_new_safes context p c rl' safes n nn x
guarded_by_destructors context' 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) =
+ let (tys,len,isinductive,paramsno,cl) =
match CicEnvironment.get_obj uri with
C.InductiveDefinition (tl,_,paramsno) ->
let (_,isinductive,_,cl) = List.nth tl i in
in
let cl' =
List.map
- (fun (id,ty,r) ->
- (id, snd (split_prods tys paramsno ty), r)) cl
+ (fun (id,ty) ->
+ (id, snd (split_prods tys paramsno ty))) cl
in
- (isinductive,paramsno,cl')
+ (tys,List.length tl,isinductive,paramsno,cl')
| _ ->
raise (WrongUriToMutualInductiveDefinitions(U.string_of_uri uri))
in
i && guarded_by_destructors context n nn kl x safes t)
tl true &&
List.fold_right
- (fun (p,(_,c,rl)) i ->
+ (fun (p,(_,c)) i ->
let rl' =
- match !rl with
- Some rl' ->
- let (_,rl'') = split rl' paramsno in
- rl''
- | None -> raise (Impossible 16)
+ let debrujinedte = debrujin_constructor uri len c in
+ recursive_args tys 0 len debrujinedte
in
let (e, safes',n',nn',x',context') =
get_new_safes context p c rl' safes n nn x
(*CSC: that maps X into (C.Appl X []) when X is not already a C.Appl *)
match CicReduction.whd context te with
C.Rel m when m > n && m <= nn -> h
- | C.Rel _
- | C.Var _ -> true
+ | C.Rel _ -> true
| C.Meta _
| C.Sort _
| C.Implicit
| C.Appl ((C.Rel m)::tl) when m > n && m <= nn ->
h &&
List.fold_right (fun x i -> i && does_not_occur context n nn x) tl true
- | C.Appl ((C.MutConstruct (uri,cookingsno,i,j))::tl) ->
+ | C.Appl ((C.MutConstruct (uri,i,j,exp_named_subst))::tl) ->
let consty =
- match CicEnvironment.get_cooked_obj uri cookingsno with
+ match CicEnvironment.get_cooked_obj ~trust:false uri with
C.InductiveDefinition (itl,_,_) ->
let (_,_,_,cl) = List.nth itl i in
- let (_,cons,_) = List.nth cl (j - 1) in cons
+ let (_,cons) = List.nth cl (j - 1) in
+ CicSubstitution.subst_vars exp_named_subst cons
| _ ->
raise (WrongUriToMutualInductiveDefinitions
(UriManager.string_of_uri uri))
analyse_branch ((Some (name,(C.Decl so)))::context) de te
| C.Lambda _
| C.LetIn _ -> raise (Impossible 25) (* due to type-checking *)
- | C.Appl ((C.MutInd (uri,_,_))::tl) as ty
+ | C.Appl ((C.MutInd (uri,_,_))::_) as ty
when uri == coInductiveTypeURI ->
guarded_by_constructors context n nn true te [] coInductiveTypeURI
- | C.Appl ((C.MutInd (uri,_,_))::tl) as ty ->
+ | C.Appl ((C.MutInd (uri,_,_))::_) as ty ->
guarded_by_constructors context n nn true te tl coInductiveTypeURI
| C.Appl _ ->
does_not_occur context n nn te
- | C.Const _
- | C.Abst _ -> raise (Impossible 26)
+ | C.Const _ -> raise (Impossible 26)
| C.MutInd (uri,_,_) when uri == coInductiveTypeURI ->
guarded_by_constructors context n nn true te [] coInductiveTypeURI
| C.MutInd _ ->
| C.Appl _ ->
List.fold_left
(fun i x -> i && does_not_occur context n nn x) true l
- | C.Const _
- | C.Abst _ -> raise (Impossible 31)
+ | C.Const _ -> raise (Impossible 31)
| C.MutInd _ ->
List.fold_left
(fun i x -> i && does_not_occur context n nn x) true l
guarded_by_constructors (tys@context) n_plus_len nn_plus_len h bo
args coInductiveTypeURI
) fl true
- | C.Appl ((C.MutCase (_,_,_,out,te,pl))::tl) ->
+ | C.Appl ((C.MutCase (_,_,out,te,pl))::tl) ->
List.fold_left (fun i x -> i && does_not_occur context n nn x) true tl &&
does_not_occur context n nn out &&
does_not_occur context n nn te &&
) pl true
| C.Appl l ->
List.fold_right (fun x i -> i && does_not_occur context n nn x) l true
- | C.Const _ -> true
- | C.Abst _
+ | C.Var (_,exp_named_subst)
+ | C.Const (_,exp_named_subst) ->
+ List.fold_right
+ (fun (_,x) i -> i && does_not_occur context n nn x) exp_named_subst true
| C.MutInd _ -> assert false
- | C.MutConstruct _ -> true
- | C.MutCase (_,_,_,out,te,pl) ->
+ | C.MutConstruct (_,_,_,exp_named_subst) ->
+ List.fold_right
+ (fun (_,x) i -> i && does_not_occur context n nn x) exp_named_subst true
+ | C.MutCase (_,_,out,te,pl) ->
does_not_occur context n nn out &&
does_not_occur context n nn te &&
List.fold_right
check_allowed_sort_elimination context 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 ->
+ | (C.Sort C.Prop, C.Sort C.Set)
+ | (C.Sort C.Prop, C.Sort C.Type) when need_dummy ->
+(*CSC: WRONG. MISSING CONDITIONS ON THE ARGUMENTS OF THE CONSTRUTOR *)
(match CicEnvironment.get_obj uri with
C.InductiveDefinition (itl,_,_) ->
let (_,_,_,cl) = List.nth itl i in
- (* is a singleton definition? *)
- List.length cl = 1
+ (* is a singleton definition or the empty proposition? *)
+ List.length cl = 1 || List.length cl = 0
| _ ->
raise (WrongUriToMutualInductiveDefinitions (U.string_of_uri uri))
)
in
let (_,_,_,cl) = List.nth itl i in
List.fold_right
- (fun (_,x,_) i -> i && is_small tys paramsno x) cl true
+ (fun (_,x) i -> i && is_small tys paramsno x) cl true
| _ ->
raise (WrongUriToMutualInductiveDefinitions (U.string_of_uri uri))
)
(fun (n,_,ty,_) -> Some (Cic.Name n,(Cic.Decl ty))) itl
in
List.fold_right
- (fun (_,x,_) i -> i && is_small tys paramsno x) cl true
+ (fun (_,x) i -> i && is_small tys paramsno x) cl true
| _ ->
raise (WrongUriToMutualInductiveDefinitions
(U.string_of_uri uri))
else
C.Appl (outtype::arguments@(if need_dummy then [] else [term]))
| C.Prod (name,so,de) ->
- C.Prod (C.Anonimous,so,type_of_branch
- ((Some (name,(C.Decl so)))::context) argsno need_dummy
- (CicSubstitution.lift 1 outtype)
- (C.Appl [CicSubstitution.lift 1 term ; C.Rel 1]) de)
+ let term' =
+ match CicSubstitution.lift 1 term with
+ C.Appl l -> C.Appl (l@[C.Rel 1])
+ | t -> C.Appl [t ; C.Rel 1]
+ in
+ C.Prod (C.Anonymous,so,type_of_branch
+ ((Some (name,(C.Decl so)))::context) argsno need_dummy
+ (CicSubstitution.lift 1 outtype) term' de)
| _ -> raise (Impossible 20)
(* check_metasenv_consistency checks that the "canonical" context of a
in
aux 1 canonical_context
in
- List.iter2
- (fun t ct ->
- let res =
- match (t,ct) with
- _,None -> true
- | Some t,Some (_,C.Def ct) ->
- R.are_convertible context t ct
- | Some t,Some (_,C.Decl ct) ->
- R.are_convertible context (type_of_aux' metasenv context t) ct
- | _, _ -> false
- in
- if not res then raise MetasenvInconsistency
- ) l lifted_canonical_context
+ List.iter2
+ (fun t ct ->
+ let res =
+ match (t,ct) with
+ _,None -> true
+ | Some t,Some (_,C.Def ct) ->
+ R.are_convertible context t ct
+ | Some t,Some (_,C.Decl ct) ->
+ R.are_convertible context (type_of_aux' metasenv context t) ct
+ | _, _ -> false
+ in
+ if not res then raise MetasenvInconsistency
+ ) l lifted_canonical_context
(* type_of_aux' is just another name (with a different scope) for type_of_aux *)
and type_of_aux' metasenv context t =
with
_ -> raise (NotWellTyped "Not a close term")
)
- | C.Var uri ->
+ | C.Var (uri,exp_named_subst) ->
incr fdebug ;
- let ty = type_of_variable uri in
+ check_exp_named_subst context exp_named_subst ;
+ let ty =
+ CicSubstitution.subst_vars exp_named_subst (type_of_variable uri)
+ in
decr fdebug ;
ty
| C.Meta (n,l) ->
| C.LetIn (n,s,t) ->
(* only to check if s is well-typed *)
let _ = type_of_aux context s in
- C.LetIn (n,s, type_of_aux ((Some (n,(C.Def s)))::context) t)
+ (* The type of a LetIn is a LetIn. Extremely slow since the computed
+ LetIn is later reduced and maybe also re-checked.
+ (C.LetIn (n,s, type_of_aux ((Some (n,(C.Def s)))::context) t))
+ *)
+ (* The type of the LetIn is reduced. Much faster than the previous
+ solution. Moreover the inferred type is probably very different
+ from the expected one.
+ (CicReduction.whd context
+ (C.LetIn (n,s, type_of_aux ((Some (n,(C.Def s)))::context) t)))
+ *)
+ (* One-step LetIn reduction. Even faster than the previous solution.
+ Moreover the inferred type is closer to the expected one. *)
+ (CicSubstitution.subst s
+ (type_of_aux ((Some (n,(C.Def s)))::context) t))
| C.Appl (he::tl) when List.length tl > 0 ->
let hetype = type_of_aux context he
and tlbody_and_type = List.map (fun x -> (x, type_of_aux context x)) tl in
eat_prods context hetype tlbody_and_type
| C.Appl _ -> raise (NotWellTyped "Appl: no arguments")
- | C.Const (uri,cookingsno) ->
+ | C.Const (uri,exp_named_subst) ->
incr fdebug ;
- let cty = cooked_type_of_constant uri cookingsno in
+ check_exp_named_subst context exp_named_subst ;
+ let cty =
+ CicSubstitution.subst_vars exp_named_subst (type_of_constant uri)
+ in
decr fdebug ;
cty
- | C.Abst _ -> raise (Impossible 22)
- | C.MutInd (uri,cookingsno,i) ->
+ | C.MutInd (uri,i,exp_named_subst) ->
incr fdebug ;
- let cty = cooked_type_of_mutual_inductive_defs uri cookingsno i in
+ check_exp_named_subst context exp_named_subst ;
+ let cty =
+ CicSubstitution.subst_vars exp_named_subst
+ (type_of_mutual_inductive_defs uri i)
+ in
decr fdebug ;
cty
- | C.MutConstruct (uri,cookingsno,i,j) ->
- let cty = cooked_type_of_mutual_inductive_constr uri cookingsno i j
+ | C.MutConstruct (uri,i,j,exp_named_subst) ->
+ check_exp_named_subst context exp_named_subst ;
+ let cty =
+ CicSubstitution.subst_vars exp_named_subst
+ (type_of_mutual_inductive_constr uri i j)
in
cty
- | C.MutCase (uri,cookingsno,i,outtype,term,pl) ->
+ | C.MutCase (uri,i,outtype,term,pl) ->
let outsort = type_of_aux context outtype in
let (need_dummy, k) =
let rec guess_args context t =
if n = 0 then
(* last prod before sort *)
match CicReduction.whd context 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')) :: _)
+(*CSC: for _ see comment below about the missing named_exp_subst ?????????? *)
+ C.MutInd (uri',i',_) when U.eq uri' uri && i' = i ->
+ (false, 1)
+(*CSC: for _ see comment below about the missing named_exp_subst ?????????? *)
+ | C.Appl ((C.MutInd (uri',i',_)) :: _)
when U.eq uri' uri && i' = i -> (false, 1)
| _ -> (true, 1)
else
let (b, k) = guess_args context outsort in
if not b then (b, k - 1) else (b, k)
in
- let (parameters, arguments) =
+ let (parameters, arguments, exp_named_subst) =
match R.whd context (type_of_aux context 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 ([],[])
+(*CSC: ma servono i parametri (uri,i)? Se si', perche' non serve anche il *)
+(*CSC: parametro exp_named_subst? Se no, perche' non li togliamo? *)
+(*CSC: Hint: nella DTD servono per gli stylesheet. *)
+ C.MutInd (uri',i',exp_named_subst) as typ ->
+ if U.eq uri uri' && i = i' then ([],[],exp_named_subst)
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)
+ CicPp.ppterm typ ^
+ " instead of type " ^ (U.string_of_uri uri) ^ "#1/" ^
+ string_of_int i ^ "{_}"))
+ | C.Appl ((C.MutInd (uri',i',exp_named_subst) as typ):: tl) ->
+ if U.eq uri uri' && i = i' then
+ let params,args =
+ split tl (List.length tl - k)
+ in params,args,exp_named_subst
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))
+ CicPp.ppterm typ ^
+ " instead of type " ^ (U.string_of_uri uri) ^ "#1/" ^
+ 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)
+ C.MutInd (uri,i,exp_named_subst)
else
- C.Appl ((C.MutInd (uri,cookingsno,i))::parameters)
+ C.Appl ((C.MutInd (uri,i,exp_named_subst))::parameters)
in
if not (check_allowed_sort_elimination context uri i need_dummy
sort_of_ind_type (type_of_aux context sort_of_ind_type) outsort)
raise (NotWellTyped "MutCase: not allowed sort elimination") ;
(* let's check if the type of branches are right *)
- let (cl,parsno) =
- match CicEnvironment.get_cooked_obj uri cookingsno with
- C.InductiveDefinition (tl,_,parsno) ->
- let (_,_,_,cl) = List.nth tl i in (cl,parsno)
+ let parsno =
+ match CicEnvironment.get_cooked_obj ~trust:false uri with
+ C.InductiveDefinition (_,_,parsno) -> parsno
| _ ->
raise (WrongUriToMutualInductiveDefinitions (U.string_of_uri uri))
in
let (_,branches_ok) =
List.fold_left
- (fun (j,b) (p,(_,c,_)) ->
+ (fun (j,b) p ->
let cons =
if parameters = [] then
- (C.MutConstruct (uri,cookingsno,i,j))
+ (C.MutConstruct (uri,i,j,exp_named_subst))
else
- (C.Appl (C.MutConstruct (uri,cookingsno,i,j)::parameters))
+ (C.Appl (C.MutConstruct (uri,i,j,exp_named_subst)::parameters))
in
+(*
(j + 1, b &&
+*)
+ (j + 1,
+let res = b &&
R.are_convertible context (type_of_aux context p)
(type_of_branch context parsno need_dummy outtype cons
(type_of_aux context cons))
+in if not res then prerr_endline ("#### " ^ CicPp.ppterm (type_of_aux context p) ^ " <==> " ^ CicPp.ppterm (type_of_branch context parsno need_dummy outtype cons (type_of_aux context cons))) ; res
)
- ) (1,true) (List.combine pl cl)
+ ) (1,true) pl
in
if not branches_ok then
raise (NotWellTyped "MutCase: wrong type of a branch") ;
let (_,ty,_) = List.nth fl i in
ty
+ and check_exp_named_subst context =
+ let rec check_exp_named_subst_aux substs =
+ function
+ [] -> ()
+ | ((uri,t) as subst)::tl ->
+ let typeofvar =
+ CicSubstitution.subst_vars substs (type_of_variable uri) in
+ (match CicEnvironment.get_cooked_obj ~trust:false uri with
+ Cic.Variable (_,Some bo,_,_) ->
+ raise
+ (NotWellTyped
+ "A variable with a body can not be explicit substituted")
+ | Cic.Variable (_,None,_,_) -> ()
+ | _ -> raise (WrongUriToVariable (UriManager.string_of_uri uri))
+ ) ;
+ let typeoft = type_of_aux context t in
+ if CicReduction.are_convertible context typeoft typeofvar then
+ check_exp_named_subst_aux (substs@[subst]) tl
+ else
+ begin
+ CicReduction.fdebug := 0 ;
+ ignore (CicReduction.are_convertible context typeoft typeofvar) ;
+ fdebug := 0 ;
+ debug typeoft [typeofvar] ;
+ raise (NotWellTyped "Wrong Explicit Named Substitution")
+ end
+ in
+ check_exp_named_subst_aux []
+
and sort_of_prod context (name,s) (t1, t2) =
let module C = Cic in
let t1' = CicReduction.whd context t1 in
and returns_a_coinductive context ty =
let module C = Cic in
match CicReduction.whd context ty with
- C.MutInd (uri,cookingsno,i) ->
+ C.MutInd (uri,i,_) ->
(*CSC: definire una funzioncina per questo codice sempre replicato *)
- (match CicEnvironment.get_cooked_obj uri cookingsno with
+ (match CicEnvironment.get_cooked_obj ~trust:false uri with
C.InductiveDefinition (itl,_,_) ->
- let (_,is_inductive,_,cl) = List.nth itl i in
+ let (_,is_inductive,_,_) = List.nth itl i in
if is_inductive then None else (Some uri)
| _ ->
raise (WrongUriToMutualInductiveDefinitions
(UriManager.string_of_uri uri))
)
- | C.Appl ((C.MutInd (uri,_,i))::_) ->
+ | C.Appl ((C.MutInd (uri,i,_))::_) ->
(match CicEnvironment.get_obj uri with
C.InductiveDefinition (itl,_,_) ->
let (_,is_inductive,_,_) = List.nth itl i in
let module C = Cic in
let module R = CicReduction in
let module U = UriManager in
- match CicEnvironment.is_type_checked uri 0 with
+ match CicEnvironment.is_type_checked ~trust:false uri with
CicEnvironment.CheckedObj _ -> ()
| CicEnvironment.UncheckedObj uobj ->
(* let's typecheck the uncooked object *)
Logger.log (`Start_type_checking uri) ;
(match uobj with
- C.Definition (_,te,ty,_) ->
+ C.Constant (_,Some 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,_) ->
+ | C.Constant (_,None,ty,_) ->
(* only to check that ty is well-typed *)
let _ = type_of ty in ()
- | C.CurrentProof (_,conjs,te,ty) ->
- (*CSC [] wrong *)
+ | C.CurrentProof (_,conjs,te,ty,_) ->
+ let _ =
+ List.fold_left
+ (fun metasenv ((_,context,ty) as conj) ->
+ ignore (type_of_aux' metasenv context ty) ;
+ metasenv @ [conj]
+ ) [] conjs
+ in
let _ = type_of_aux' conjs [] ty in
- debug (type_of_aux' conjs [] te) [] ;
- if not (R.are_convertible [] (type_of_aux' conjs [] te) ty) then
+ if not (R.are_convertible [] (type_of_aux' conjs [] te) ty)
+ then
raise (NotWellTyped ("CurrentProof" ^ (U.string_of_uri uri)))
- | C.Variable (_,bo,ty) ->
+ | C.Variable (_,bo,ty,_) ->
(* only to check that ty is well-typed *)
let _ = type_of ty in
(match bo with
raise (NotWellTyped ("Variable" ^ (U.string_of_uri uri)))
)
| C.InductiveDefinition _ ->
- cooked_mutual_inductive_defs uri uobj
+ check_mutual_inductive_defs uri uobj
) ;
CicEnvironment.set_type_checking_info uri ;
Logger.log (`Type_checking_completed uri)