X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Focaml%2Fcic_proof_checking%2FcicTypeChecker.ml;h=36bfb28b19cd22c77c7471ec5343dab140f20861;hb=9c1286710e47652a4e070bcfc6b39b7303f069f9;hp=28089b4cc059ea9bfdbe929adeb755cef2198721;hpb=ae326f646ef4c01b43d6da04201b427d1e175400;p=helm.git
diff --git a/helm/ocaml/cic_proof_checking/cicTypeChecker.ml b/helm/ocaml/cic_proof_checking/cicTypeChecker.ml
index 28089b4cc..36bfb28b1 100644
--- a/helm/ocaml/cic_proof_checking/cicTypeChecker.ml
+++ b/helm/ocaml/cic_proof_checking/cicTypeChecker.ml
@@ -23,165 +23,237 @@
* http://cs.unibo.it/helm/.
*)
-exception NotImplemented;;
-exception Impossible of int;;
-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;;
+(* TODO factorize functions to frequent errors (e.g. "Unknwon mutual inductive
+ * ...") *)
-let log =
- let module U = UriManager in
- let indent = ref 0 in
- function
- `Start_type_checking uri ->
- print_string (
- (String.make !indent ' ') ^
- "
" ^
- "Type-Checking of " ^ (U.string_of_uri uri) ^ " started
\n"
- ) ;
- flush stdout ;
- incr indent
- | `Type_checking_completed uri ->
- decr indent ;
- print_string (
- (String.make !indent ' ') ^
- "" ^
- "Type-Checking of " ^ (U.string_of_uri uri) ^ " completed.
\n"
- ) ;
- flush stdout
-;;
+open Printf
+
+exception AssertFailure of string;;
+exception TypeCheckerFailure of string;;
let fdebug = ref 0;;
-let debug t env =
+let debug t context =
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::env) ""))
- (*print_endline ("\n" ^ List.fold_right debug_aux (t::env) "") ; flush stdout*)
+ raise (TypeCheckerFailure (List.fold_right debug_aux (t::context) ""))
;;
+let debug_print = prerr_endline ;;
+
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
+ | (_,_) ->
+ raise (TypeCheckerFailure "Parameters number < left parameters number")
+;;
+
+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 (TypeCheckerFailure "unbound variable found in constructor type")
+ | 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 (TypeCheckerFailure
+ ("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 ->
- log (`Start_type_checking uri) ;
+ CicLogger.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,_) ->
+ let type_of_te = type_of te in
+ if not (R.are_convertible [] type_of_te ty) then
+ raise (TypeCheckerFailure (sprintf
+ "the constant %s is not well typed because the type %s of the body is not convertible to the declared type %s"
+ (U.string_of_uri uri) (CicPp.ppterm type_of_te)
+ (CicPp.ppterm ty)))
+ | C.Constant (_,None,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))
- ) ;
+ | 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
+ let type_of_te = type_of_aux' conjs [] te in
+ if not (R.are_convertible [] type_of_te ty) then
+ raise (TypeCheckerFailure (sprintf
+ "the current proof %s is not well typed because the type %s of the body is not convertible to the declared type %s"
+ (U.string_of_uri uri) (CicPp.ppterm type_of_te)
+ (CicPp.ppterm ty)))
+ | _ ->
+ raise (TypeCheckerFailure
+ ("Unknown constant:" ^ U.string_of_uri uri))
+ );
CicEnvironment.set_type_checking_info uri ;
- log (`Type_checking_completed uri) ;
- match CicEnvironment.is_type_checked uri cookingsno with
+ CicLogger.log (`Type_checking_completed uri) ;
+ 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
- | _ -> raise (WrongUriToConstant (U.string_of_uri uri))
+ C.Constant (_,_,ty,_) -> ty
+ | C.CurrentProof (_,_,_,ty,_) -> ty
+ | _ ->
+ raise (TypeCheckerFailure ("Unknown constant:" ^ 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 CicEnvironment.is_type_checked uri 0 with
- CicEnvironment.CheckedObj (C.Variable (_,_,ty)) -> ty
- | CicEnvironment.UncheckedObj (C.Variable (_,bo,ty)) ->
- log (`Start_type_checking uri) ;
+ match CicEnvironment.is_type_checked ~trust:true uri with
+ CicEnvironment.CheckedObj (C.Variable (_,_,ty,_)) -> ty
+ | CicEnvironment.UncheckedObj (C.Variable (_,bo,ty,_)) ->
+ CicLogger.log (`Start_type_checking uri) ;
(* 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)))
+ if not (R.are_convertible [] (type_of bo) ty) then
+ raise (TypeCheckerFailure
+ ("Unknown variable:" ^ U.string_of_uri uri))
) ;
CicEnvironment.set_type_checking_info uri ;
- log (`Type_checking_completed uri) ;
+ CicLogger.log (`Type_checking_completed uri) ;
ty
- | _ -> raise (WrongUriToVariable (UriManager.string_of_uri uri))
+ | _ ->
+ raise (TypeCheckerFailure ("Unknown variable:" ^ U.string_of_uri uri))
-and does_not_occur n nn te =
+and does_not_occur context 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
+ match CicReduction.whd context te with
C.Rel m when m > n && m <= nn -> false
| C.Rel _
- | C.Var _
- | C.Meta _
+ | C.Meta _ (* CSC: Are we sure? No recursion?*)
| 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.Implicit _ -> true
+ | C.Cast (te,ty) ->
+ does_not_occur context n nn te && does_not_occur context n nn ty
+ | C.Prod (name,so,dest) ->
+ does_not_occur context n nn so &&
+ does_not_occur((Some (name,(C.Decl so)))::context) (n + 1) (nn + 1)
+ dest
+ | C.Lambda (name,so,dest) ->
+ does_not_occur context n nn so &&
+ does_not_occur((Some (name,(C.Decl so)))::context) (n + 1) (nn + 1)
+ dest
+ | C.LetIn (name,so,dest) ->
+ does_not_occur context n nn so &&
+ does_not_occur ((Some (name,(C.Def (so,None))))::context)
+ (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
+ List.fold_right (fun x i -> i && does_not_occur context n nn x) l true
+ | 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 len = List.length fl in
let n_plus_len = n + len in
let nn_plus_len = nn + len in
+ let tys =
+ List.map (fun (n,_,ty,_) -> Some (C.Name n,(Cic.Decl ty))) fl
+ 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
+ i && does_not_occur context n nn ty &&
+ does_not_occur (tys @ context) 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
+ let tys =
+ List.map (fun (n,ty,_) -> Some (C.Name n,(Cic.Decl ty))) fl
+ 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
+ i && does_not_occur context n nn ty &&
+ does_not_occur (tys @ context) n_plus_len nn_plus_len bo
) fl true
(*CSC l'indice x dei tipi induttivi e' t.c. n < x <= nn *)
@@ -189,53 +261,86 @@ and does_not_occur n nn te =
(*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 =
+and weakly_positive context n nn uri te =
let module C = Cic in
+(*CSC: Che schifo! Bisogna capire meglio e trovare una soluzione ragionevole!*)
+ let dummy_mutind =
+ C.MutInd (HelmLibraryObjects.Datatypes.nat_URI,0,[])
+ in
(*CSC mettere in cicSubstitution *)
- let rec subst_inductive_type_with_dummy_rel =
+ let rec subst_inductive_type_with_dummy_mutind =
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.MutInd (uri',0,_) when UriManager.eq uri' uri ->
+ dummy_mutind
+ | 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) ->
- C.Prod (name, subst_inductive_type_with_dummy_rel so,
- subst_inductive_type_with_dummy_rel ta)
+ C.Prod (name, subst_inductive_type_with_dummy_mutind so,
+ subst_inductive_type_with_dummy_mutind ta)
| C.Lambda (name,so,ta) ->
- C.Lambda (name, subst_inductive_type_with_dummy_rel so,
- subst_inductive_type_with_dummy_rel ta)
+ C.Lambda (name, subst_inductive_type_with_dummy_mutind so,
+ subst_inductive_type_with_dummy_mutind 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.Appl (List.map subst_inductive_type_with_dummy_mutind tl)
+ | 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.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)
+ subst_inductive_type_with_dummy_mutind ty,
+ subst_inductive_type_with_dummy_mutind 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)
+ 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 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 ;-)"))
+ 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.Anonymous,source,dest) ->
+ strictly_positive context n nn
+ (subst_inductive_type_with_dummy_mutind source) &&
+ 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 ->
+ (* dummy abstraction, so we behave as in the anonimous case *)
+ strictly_positive context n nn
+ (subst_inductive_type_with_dummy_mutind source) &&
+ weakly_positive ((Some (name,(C.Decl source)))::context)
+ (n + 1) (nn + 1) uri dest
+ | C.Prod (name,source,dest) ->
+ does_not_occur context n nn
+ (subst_inductive_type_with_dummy_mutind source)&&
+ weakly_positive ((Some (name,(C.Decl source)))::context)
+ (n + 1) (nn + 1) uri dest
+ | _ ->
+ raise (TypeCheckerFailure "Malformed inductive constructor type")
(* instantiate_parameters ps (x1:T1)...(xn:Tn)C *)
(* returns ((x_|ps|:T_|ps|)...(xn:Tn)C){ps_1 / x1 ; ... ; ps_|ps| / x_|ps|} *)
@@ -247,56 +352,58 @@ and instantiate_parameters params c =
instantiate_parameters tl
(CicSubstitution.subst he ta)
| (C.Cast (te,_), _) -> instantiate_parameters params te
- | (t,l) -> raise (Impossible 1)
+ | (t,l) -> raise (AssertFailure "1")
-and strictly_positive n nn te =
+and strictly_positive context n nn te =
let module C = Cic in
let module U = UriManager in
- match CicReduction.whd te with
+ match CicReduction.whd context 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
+ strictly_positive context n nn te
+ | C.Prod (name,so,ta) ->
+ does_not_occur context n nn so &&
+ 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 n nn x) tl true
- | C.Appl ((C.MutInd (uri,_,i))::tl) ->
- let (ok,paramsno,cl) =
+ List.fold_right (fun x i -> i && does_not_occur context n nn x) tl true
+ | 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 (_,_,_,cl) = List.nth tl i in
- (List.length tl = 1, paramsno, cl)
- | _ -> raise(WrongUriToMutualInductiveDefinitions(U.string_of_uri uri))
+ let (name,_,ity,cl) = List.nth tl i in
+ (List.length tl = 1, paramsno, ity, cl, name)
+ | _ ->
+ raise (TypeCheckerFailure
+ ("Unknown inductive type:" ^ 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
+ List.map
+ (fun (_,te) ->
+ instantiate_parameters lifted_params
+ (CicSubstitution.subst_vars exp_named_subst te)
+ ) cl
in
ok &&
List.fold_right
- (fun x i -> i && does_not_occur n nn x)
+ (fun x i -> i && does_not_occur context 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
+ weakly_positive
+ ((Some (C.Name name,(Cic.Decl ity)))::context) (n+1) (nn+1) uri
+ x
) cl' true
- | C.MutInd (uri,_,i) ->
- (match CicEnvironment.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
+ | t -> does_not_occur context 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 =
+and are_all_occurrences_positive context uri indparamsno i n nn te =
let module C = Cic in
- match CicReduction.whd te with
+ match CicReduction.whd context 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 *)
@@ -306,88 +413,115 @@ and are_all_occurrences_positive uri indparamsno i n nn te =
(fun k x ->
if k = 0 then 0
else
- match CicReduction.whd x with
+ match CicReduction.whd context x with
C.Rel m when m = n - (indparamsno - k) -> k - 1
- | _ -> raise (WrongRequiredArgument (UriManager.string_of_uri uri))
+ | _ ->
+ raise (TypeCheckerFailure
+ ("Non-positive occurence in mutual inductive definition(s) " ^
+ 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
+ List.fold_right (fun x i -> i && does_not_occur context n nn x) tl true
else
- raise (WrongRequiredArgument (UriManager.string_of_uri uri))
+ raise (TypeCheckerFailure
+ ("Non-positive occurence in mutual inductive definition(s) " ^
+ 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 ->
+ raise (TypeCheckerFailure
+ ("Non-positive occurence in mutual inductive definition(s) " ^
+ UriManager.string_of_uri uri))
+ | C.Prod (C.Anonymous,source,dest) ->
+ strictly_positive context n nn source &&
+ are_all_occurrences_positive
+ ((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 ->
(* 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))
+ strictly_positive context n nn source &&
+ are_all_occurrences_positive
+ ((Some (name,(C.Decl source)))::context) uri indparamsno
+ (i+1) (n + 1) (nn + 1) dest
+ | C.Prod (name,source,dest) ->
+ does_not_occur context n nn source &&
+ are_all_occurrences_positive ((Some (name,(C.Decl source)))::context)
+ uri indparamsno (i+1) (n + 1) (nn + 1) dest
+ | _ ->
+ raise
+ (TypeCheckerFailure ("Malformed inductive constructor type " ^
+ (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
- 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 2)
- | None -> r := Some (recursive_args 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
+ (TypeCheckerFailure ("Non positive occurence in " ^
+ U.string_of_uri uri))
+ ) cl ;
+ (i + 1)
+ ) itl 1
+ in
+ ()
+
+(* 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 (TypeCheckerFailure ("Unknown mutual inductive definition:" ^
+ UriManager.string_of_uri uri))
-and cooked_type_of_mutual_inductive_defs uri cookingsno i =
+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 ->
- log (`Start_type_checking uri) ;
- cooked_mutual_inductive_defs uri uobj ;
+ CicLogger.log (`Start_type_checking uri) ;
+ check_mutual_inductive_defs uri uobj ;
CicEnvironment.set_type_checking_info uri ;
- log (`Type_checking_completed uri) ;
- (match CicEnvironment.is_type_checked uri cookingsno with
+ CicLogger.log (`Type_checking_completed uri) ;
+ (match CicEnvironment.is_type_checked ~trust:false uri with
CicEnvironment.CheckedObj cobj -> cobj
| CicEnvironment.UncheckedObj _ -> raise CicEnvironmentError
)
@@ -396,21 +530,23 @@ and cooked_type_of_mutual_inductive_defs uri cookingsno i =
C.InductiveDefinition (dl,_,_) ->
let (_,_,arity,_) = List.nth dl i in
arity
- | _ -> raise (WrongUriToMutualInductiveDefinitions (U.string_of_uri uri))
+ | _ ->
+ raise (TypeCheckerFailure ("Unknown mutual inductive definition:" ^
+ 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 ->
- log (`Start_type_checking uri) ;
- cooked_mutual_inductive_defs uri uobj ;
+ CicLogger.log (`Start_type_checking uri) ;
+ check_mutual_inductive_defs uri uobj ;
CicEnvironment.set_type_checking_info uri ;
- log (`Type_checking_completed uri) ;
- (match CicEnvironment.is_type_checked uri cookingsno with
+ CicLogger.log (`Type_checking_completed uri) ;
+ (match CicEnvironment.is_type_checked ~trust:false uri with
CicEnvironment.CheckedObj cobj -> cobj
| CicEnvironment.UncheckedObj _ -> raise CicEnvironmentError
)
@@ -418,38 +554,42 @@ and cooked_type_of_mutual_inductive_constr uri cookingsno i j =
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))
+ | _ ->
+ raise (TypeCheckerFailure ("Unknown mutual inductive definition:" ^
+ UriManager.string_of_uri uri))
-and recursive_args n nn te =
+and recursive_args context n nn te =
let module C = Cic in
- match CicReduction.whd te with
+ match CicReduction.whd context te with
C.Rel _ -> []
| C.Var _
| C.Meta _
| C.Sort _
- | C.Implicit
- | C.Cast _ (*CSC ??? *) -> raise (Impossible 3) (* 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 4) (* due to type-checking *)
- | C.LetIn _ -> raise NotImplemented
+ | C.Implicit _
+ | C.Cast _ (*CSC ??? *) ->
+ raise (AssertFailure "3") (* due to type-checking *)
+ | C.Prod (name,so,de) ->
+ (not (does_not_occur context n nn so)) ::
+ (recursive_args ((Some (name,(C.Decl so)))::context) (n+1) (nn + 1) de)
+ | C.Lambda _
+ | C.LetIn _ ->
+ raise (AssertFailure "4") (* due to type-checking *)
| C.Appl _ -> []
- | C.Const _
- | C.Abst _ -> raise (Impossible 5)
+ | C.Const _ -> raise (AssertFailure "5")
| C.MutInd _
| C.MutConstruct _
| C.MutCase _
| C.Fix _
- | C.CoFix _ -> raise (Impossible 6) (* due to type-checking *)
+ | C.CoFix _ -> raise (AssertFailure "6") (* due to type-checking *)
-and get_new_safes p c rl safes n nn x =
+and get_new_safes context 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) ->
+ match (R.whd context c, R.whd context p, rl) with
+ (C.Prod (_,so,ta1), C.Lambda (name,_,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' =
@@ -458,42 +598,58 @@ and get_new_safes p c rl safes n nn x =
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 7)
+ get_new_safes ((Some (name,(C.Decl so)))::context)
+ ta2 ta1 tl safes'' (n+1) (nn+1) (x+1)
+ | (C.Prod _, (C.MutConstruct _ as e), _)
+ | (C.Prod _, (C.Rel _ as e), _)
+ | (C.MutInd _, e, [])
+ | (C.Appl _, e, []) -> (e,safes,n,nn,x,context)
+ | (c,p,l) ->
+ (* CSC: If the next exception is raised, it just means that *)
+ (* CSC: the proof-assistant allows to use very strange things *)
+ (* CSC: as a branch of a case whose type is a Prod. In *)
+ (* CSC: particular, this means that a new (C.Prod, x,_) case *)
+ (* CSC: must be considered in this match. (e.g. x = MutCase) *)
+ raise
+ (AssertFailure
+ (Printf.sprintf "Get New Safes: c=%s ; p=%s"
+ (CicPp.ppterm c) (CicPp.ppterm p)))
-and eat_prods n te =
+and split_prods context 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 8)
+ match (n, R.whd context te) with
+ (0, _) -> context,te
+ | (n, C.Prod (name,so,ta)) when n > 0 ->
+ split_prods ((Some (name,(C.Decl so)))::context) (n - 1) ta
+ | (_, _) -> raise (AssertFailure "8")
-and eat_lambdas n te =
+and eat_lambdas context 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 9)
+ match (n, R.whd context te) with
+ (0, _) -> (te, 0, context)
+ | (n, C.Lambda (name,so,ta)) when n > 0 ->
+ let (te, k, context') =
+ eat_lambdas ((Some (name,(C.Decl so)))::context) (n - 1) ta
+ in
+ (te, k + 1, context')
+ | (n, te) ->
+ raise (AssertFailure (sprintf "9 (%d, %s)" n (CicPp.ppterm te)))
(*CSC: Tutto quello che segue e' l'intuzione di luca ;-) *)
-and check_is_really_smaller_arg n nn kl x safes te =
+and check_is_really_smaller_arg context 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
+ match CicReduction.whd context te with
C.Rel m when List.mem m safes -> true
| C.Rel _ -> false
| C.Var _
| C.Meta _
| C.Sort _
- | C.Implicit
+ | C.Implicit _
| C.Cast _
(* | C.Cast (te,ty) ->
check_is_really_smaller_arg n nn kl x safes te &&
@@ -502,248 +658,286 @@ and check_is_really_smaller_arg n nn kl x safes te =
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 10)
- | 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.Prod _ -> raise (AssertFailure "10")
+ | C.Lambda (name,so,ta) ->
+ check_is_really_smaller_arg context n nn kl x safes so &&
+ check_is_really_smaller_arg ((Some (name,(C.Decl so)))::context)
+ (n+1) (nn+1) kl (x+1) (List.map (fun x -> x + 1) safes) ta
+ | C.LetIn (name,so,ta) ->
+ check_is_really_smaller_arg context n nn kl x safes so &&
+ check_is_really_smaller_arg ((Some (name,(C.Def (so,None))))::context)
+ (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 11)
+ check_is_really_smaller_arg context n nn kl x safes he
+ | C.Appl [] -> raise (AssertFailure "11")
| C.Const _
- | C.Abst _
- | C.MutInd _ -> raise (Impossible 12)
+ | C.MutInd _ -> raise (AssertFailure "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 (_,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')
+ let tys =
+ List.map
+ (fun (n,_,ty,_) -> Some (Cic.Name n,(Cic.Decl ty))) tl
+ in
+ let (_,isinductive,_,cl) = List.nth tl i in
+ let cl' =
+ List.map
+ (fun (id,ty) ->
+ (id, snd (split_prods tys paramsno ty))) cl
+ in
+ (tys,List.length tl,isinductive,paramsno,cl')
| _ ->
- raise (WrongUriToMutualInductiveDefinitions(U.string_of_uri uri))
+ raise (TypeCheckerFailure
+ ("Unknown mutual inductive definition:" ^
+ UriManager.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)
+ (fun p i ->
+ i && check_is_really_smaller_arg context n nn kl x safes p)
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') =
- get_new_safes p c rl' safes n nn x
+ let (e,safes',n',nn',x',context') =
+ get_new_safes context p c rl' safes n nn x
in
i &&
- check_is_really_smaller_arg n' nn' kl x' safes' e
+ 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
- let cl' =
- List.map (fun (id,ty,r) -> (id, eat_prods paramsno ty, r)) cl
+ let tys =
+ List.map (fun (n,_,ty,_) ->
+ Some(Cic.Name n,(Cic.Decl ty))) tl
in
- (isinductive,paramsno,cl')
+ let cl' =
+ List.map
+ (fun (id,ty) ->
+ (id, snd (split_prods tys paramsno ty))) cl
+ in
+ (tys,List.length tl,isinductive,paramsno,cl')
| _ ->
- raise (WrongUriToMutualInductiveDefinitions(U.string_of_uri uri))
+ raise (TypeCheckerFailure
+ ("Unknown mutual inductive definition:" ^
+ UriManager.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)
+ (fun p i ->
+ i && check_is_really_smaller_arg context 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 ->
+ (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') =
- get_new_safes p c rl' safes n nn x
+ let (e, safes',n',nn',x',context') =
+ get_new_safes context p c rl' safes n nn x
in
i &&
- check_is_really_smaller_arg n' nn' kl x' safes' e
+ check_is_really_smaller_arg context' 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
+ (fun p i ->
+ i && check_is_really_smaller_arg context 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 tys = List.map (fun (n,_,ty,_) -> Some (C.Name n,(C.Decl ty))) fl
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
+ check_is_really_smaller_arg (tys@context) 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 tys = List.map (fun (n,ty,_) -> Some (C.Name n,(C.Decl ty))) fl
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
+ check_is_really_smaller_arg (tys@context) n_plus_len nn_plus_len kl
+ x_plus_len safes' bo
) fl true
-and guarded_by_destructors n nn kl x safes =
+and guarded_by_destructors context 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.Rel m ->
+ (match List.nth context (n-1) with
+ Some (_,C.Decl _) -> true
+ | Some (_,C.Def (bo,_)) ->
+ guarded_by_destructors context m nn kl x safes
+ (CicSubstitution.lift m bo)
+ | None -> raise (TypeCheckerFailure "Reference to deleted hypothesis")
+ )
| C.Meta _
| C.Sort _
- | C.Implicit -> true
+ | 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
+ guarded_by_destructors context n nn kl x safes te &&
+ guarded_by_destructors context n nn kl x safes ty
+ | C.Prod (name,so,ta) ->
+ guarded_by_destructors context n nn kl x safes so &&
+ guarded_by_destructors ((Some (name,(C.Decl so)))::context)
+ (n+1) (nn+1) kl (x+1) (List.map (fun x -> x + 1) safes) ta
+ | C.Lambda (name,so,ta) ->
+ guarded_by_destructors context n nn kl x safes so &&
+ guarded_by_destructors ((Some (name,(C.Decl so)))::context)
+ (n+1) (nn+1) kl (x+1) (List.map (fun x -> x + 1) safes) ta
+ | C.LetIn (name,so,ta) ->
+ guarded_by_destructors context n nn kl x safes so &&
+ guarded_by_destructors ((Some (name,(C.Def (so,None))))::context)
+ (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
+ i && guarded_by_destructors context n nn kl x safes param
) tl true &&
- check_is_really_smaller_arg n nn kl x safes (List.nth tl k)
+ check_is_really_smaller_arg context 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)
+ 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
- let cl' =
- List.map (fun (id,ty,r) -> (id, eat_prods paramsno ty, r)) cl
- in
- (isinductive,paramsno,cl')
+ let len = List.length tl in
+ let (_,isinductive,_,cl) = List.nth tl i in
+ let tys =
+ List.map (fun (n,_,ty,_) ->
+ Some(Cic.Name n,(Cic.Decl ty))) tl
+ in
+ let cl' =
+ List.map
+ (fun (id,ty) ->
+ let debrujinedty = debrujin_constructor uri len ty in
+ (id, snd (split_prods tys paramsno ty),
+ snd (split_prods tys paramsno debrujinedty)
+ )) cl
+ in
+ (tys,len,isinductive,paramsno,cl')
| _ ->
- raise (WrongUriToMutualInductiveDefinitions(U.string_of_uri uri))
+ raise (TypeCheckerFailure
+ ("Unknown mutual inductive definition:" ^
+ UriManager.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 &&
+ guarded_by_destructors context n nn kl x safes outtype &&
+ guarded_by_destructors context 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)
+ (fun p i ->
+ i && guarded_by_destructors context n nn kl x safes p)
pl true
else
- guarded_by_destructors n nn kl x safes outtype &&
+ 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 ->
- let rl' =
- match !rl with
- Some rl' ->
- let (_,rl'') = split rl' paramsno in
- rl''
- | None -> raise (Impossible 15)
- in
- let (e,safes',n',nn',x') =
- get_new_safes p c rl' safes n nn x
+ (fun (p,(_,c,brujinedc)) i ->
+ let rl' = recursive_args tys 0 len brujinedc in
+ let (e,safes',n',nn',x',context') =
+ get_new_safes context p c rl' safes n nn x
in
i &&
- guarded_by_destructors n' nn' kl x' safes' e
+ 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
- let cl' =
- List.map (fun (id,ty,r) -> (id, eat_prods paramsno ty, r)) cl
+ let tys =
+ List.map
+ (fun (n,_,ty,_) -> Some(Cic.Name n,(Cic.Decl ty))) tl
in
- (isinductive,paramsno,cl')
+ let cl' =
+ List.map
+ (fun (id,ty) ->
+ (id, snd (split_prods tys paramsno ty))) cl
+ in
+ (tys,List.length tl,isinductive,paramsno,cl')
| _ ->
- raise (WrongUriToMutualInductiveDefinitions(U.string_of_uri uri))
+ raise (TypeCheckerFailure
+ ("Unknown mutual inductive definition:" ^
+ UriManager.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 &&
+ guarded_by_destructors context n nn kl x safes outtype &&
+ guarded_by_destructors context 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)
+ (fun p i ->
+ i && guarded_by_destructors context n nn kl x safes p)
pl true
else
- guarded_by_destructors n nn kl x safes outtype &&
+ guarded_by_destructors context 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)
+ (fun t i ->
+ 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') =
- get_new_safes p c rl' safes n nn x
+ let (e, safes',n',nn',x',context') =
+ get_new_safes context p c rl' safes n nn x
in
i &&
- guarded_by_destructors n' nn' kl x' safes' e
+ guarded_by_destructors context' 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 &&
+ guarded_by_destructors context n nn kl x safes outtype &&
+ guarded_by_destructors context 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)
+ (fun p i -> i && guarded_by_destructors context n nn kl x safes p)
pl true
)
| C.Fix (_, fl) ->
@@ -751,228 +945,325 @@ and guarded_by_destructors n nn kl x safes =
let n_plus_len = n + len
and nn_plus_len = nn + len
and x_plus_len = x + len
+ and tys = List.map (fun (n,_,ty,_) -> Some (C.Name n,(C.Decl ty))) fl
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
+ i && guarded_by_destructors context n nn kl x_plus_len safes' ty &&
+ guarded_by_destructors (tys@context) 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 tys = List.map (fun (n,ty,_) -> Some (C.Name n,(C.Decl ty))) fl
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
+ i &&
+ guarded_by_destructors context n nn kl x_plus_len safes' ty &&
+ guarded_by_destructors (tys@context) 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 =
+(* the boolean h means already protected *)
+(* args is the list of arguments the type of the constructor that may be *)
+(* found in head position must be applied to. *)
+(*CSC: coInductiveTypeURI non cambia mai di ricorsione in ricorsione *)
+and guarded_by_constructors context n nn h te args coInductiveTypeURI =
let module C = Cic in
- function
- C.Rel m when m > n && m <= nn -> h = 1
- | C.Rel _
- | C.Var _
+ (*CSC: There is a lot of code replication between the cases X and *)
+ (*CSC: (C.Appl X tl). Maybe it will be better to define a function *)
+ (*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 _ -> true
| 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 17) (* 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.Implicit _
+ | C.Cast _
+ | C.Prod _
+ | C.LetIn _ ->
+ (* the term has just been type-checked *)
+ raise (AssertFailure "17")
+ | C.Lambda (name,so,de) ->
+ does_not_occur context n nn so &&
+ guarded_by_constructors ((Some (name,(C.Decl so)))::context)
+ (n + 1) (nn + 1) h de args coInductiveTypeURI
| 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 CicEnvironment.get_cooked_obj uri cookingsno with
+ h &&
+ List.fold_right (fun x i -> i && does_not_occur context n nn x) tl true
+ | C.Appl ((C.MutConstruct (uri,i,j,exp_named_subst))::tl) ->
+ let consty =
+ match CicEnvironment.get_cooked_obj ~trust:false uri 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 18)
- | Some rec_args -> (not is_inductive, rec_args)
- )
+ let (_,_,_,cl) = List.nth itl i in
+ let (_,cons) = List.nth cl (j - 1) in
+ CicSubstitution.subst_vars exp_named_subst cons
| _ ->
- raise (WrongUriToMutualInductiveDefinitions
- (UriManager.string_of_uri uri))
+ raise (TypeCheckerFailure ("Unknown mutual inductive definition:" ^
+ 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
+ let rec analyse_branch context ty te =
+ match CicReduction.whd context ty with
+ C.Meta _ -> raise (AssertFailure "34")
+ | C.Rel _
+ | C.Var _
+ | C.Sort _ ->
+ does_not_occur context n nn te
+ | C.Implicit _
+ | C.Cast _ ->
+ raise (AssertFailure "24")(* due to type-checking *)
+ | C.Prod (name,so,de) ->
+ analyse_branch ((Some (name,(C.Decl so)))::context) de te
+ | C.Lambda _
+ | C.LetIn _ ->
+ raise (AssertFailure "25")(* due to type-checking *)
+ | C.Appl ((C.MutInd (uri,_,_))::_) as ty
+ when uri == coInductiveTypeURI ->
+ guarded_by_constructors context n nn true te [] coInductiveTypeURI
+ | 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 _ -> raise (AssertFailure "26")
+ | C.MutInd (uri,_,_) when uri == coInductiveTypeURI ->
+ guarded_by_constructors context n nn true te [] coInductiveTypeURI
+ | C.MutInd _ ->
+ does_not_occur context n nn te
+ | C.MutConstruct _ -> raise (AssertFailure "27")
+ (*CSC: we do not consider backbones with a MutCase, Fix, Cofix *)
+ (*CSC: in head position. *)
+ | C.MutCase _
+ | C.Fix _
+ | C.CoFix _ ->
+ raise (AssertFailure "28")(* due to type-checking *)
+ in
+ let rec analyse_instantiated_type context ty l =
+ match CicReduction.whd context ty with
+ C.Rel _
+ | C.Var _
+ | C.Meta _
+ | C.Sort _
+ | C.Implicit _
+ | C.Cast _ -> raise (AssertFailure "29")(* due to type-checking *)
+ | C.Prod (name,so,de) ->
+ begin
+ match l with
+ [] -> true
+ | he::tl ->
+ analyse_branch context so he &&
+ analyse_instantiated_type
+ ((Some (name,(C.Decl so)))::context) de tl
+ end
+ | C.Lambda _
+ | C.LetIn _ ->
+ raise (AssertFailure "30")(* due to type-checking *)
+ | C.Appl _ ->
+ List.fold_left
+ (fun i x -> i && does_not_occur context n nn x) true l
+ | C.Const _ -> raise (AssertFailure "31")
+ | C.MutInd _ ->
+ List.fold_left
+ (fun i x -> i && does_not_occur context n nn x) true l
+ | C.MutConstruct _ -> raise (AssertFailure "32")
+ (*CSC: we do not consider backbones with a MutCase, Fix, Cofix *)
+ (*CSC: in head position. *)
+ | C.MutCase _
+ | C.Fix _
+ | C.CoFix _ ->
+ raise (AssertFailure "33")(* due to type-checking *)
+ in
+ let rec instantiate_type args consty =
+ function
+ [] -> true
+ | tlhe::tltl as l ->
+ let consty' = CicReduction.whd context consty in
+ match args with
+ he::tl ->
+ begin
+ match consty' with
+ C.Prod (_,_,de) ->
+ let instantiated_de = CicSubstitution.subst he de in
+ (*CSC: siamo sicuri che non sia troppo forte? *)
+ does_not_occur context n nn tlhe &
+ instantiate_type tl instantiated_de tltl
+ | _ ->
+ (*CSC:We do not consider backbones with a MutCase, a *)
+ (*CSC:FixPoint, a CoFixPoint and so on in head position.*)
+ raise (AssertFailure "23")
+ end
+ | [] -> analyse_instantiated_type context consty' l
+ (* These are all the other cases *)
+ in
+ instantiate_type args consty tl
+ | C.Appl ((C.CoFix (_,fl))::tl) ->
+ List.fold_left (fun i x -> i && does_not_occur context n nn x) true tl &&
+ let len = List.length fl in
+ let n_plus_len = n + len
+ and nn_plus_len = nn + len
+ (*CSC: Is a Decl of the ty ok or should I use Def of a Fix? *)
+ and tys = List.map (fun (n,ty,_) -> Some (C.Name n,(C.Decl ty))) fl in
+ List.fold_right
+ (fun (_,ty,bo) i ->
+ i && does_not_occur context n nn ty &&
+ 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) ->
+ 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 &&
+ List.fold_right
+ (fun x i ->
+ i &&
+ guarded_by_constructors context n nn h x args coInductiveTypeURI
+ ) pl 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 CicEnvironment.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 CicEnvironment.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 && does_not_occur context n nn x) l true
+ | 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 (_,_,_,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 && 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
+ (fun x i ->
+ i &&
+ guarded_by_constructors context n nn h x args coInductiveTypeURI
+ ) pl true
| C.Fix (_,fl) ->
let len = List.length fl in
let n_plus_len = n + len
- and nn_plus_len = nn + len in
+ and nn_plus_len = nn + len
+ (*CSC: Is a Decl of the ty ok or should I use Def of a Fix? *)
+ and tys = List.map (fun (n,_,ty,_)-> Some (C.Name n,(C.Decl ty))) fl 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
+ i && does_not_occur context n nn ty &&
+ does_not_occur (tys@context) 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
+ and nn_plus_len = nn + len
+ (*CSC: Is a Decl of the ty ok or should I use Def of a Fix? *)
+ and tys = List.map (fun (n,ty,_) -> Some (C.Name n,(C.Decl ty))) fl 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
+ i && does_not_occur context n nn ty &&
+ guarded_by_constructors (tys@context) n_plus_len nn_plus_len h bo
+ args coInductiveTypeURI
) fl true
-and check_allowed_sort_elimination uri i need_dummy ind arity1 arity2 =
+and check_allowed_sort_elimination context 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
+ match (CicReduction.whd context arity1, CicReduction.whd context arity2) with
(C.Prod (_,so1,de1), C.Prod (_,so2,de2))
- when CicReduction.are_convertible so1 so2 ->
- check_allowed_sort_elimination uri i need_dummy
+ when CicReduction.are_convertible context so1 so2 ->
+ 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.CProp)
+ | (C.Sort C.Prop, C.Sort (C.Type _) ) when need_dummy ->
+ (* TASSI: da verificare *)
+(*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))
+ raise (TypeCheckerFailure ("Unknown mutual inductive definition:" ^
+ UriManager.string_of_uri uri))
)
| (C.Sort C.Set, C.Sort C.Prop) when need_dummy -> true
+ | (C.Sort C.CProp, 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 ->
+ | (C.Sort C.Set, C.Sort C.CProp) when need_dummy -> true
+ | (C.Sort C.CProp, C.Sort C.Set) when need_dummy -> true
+ | (C.Sort C.CProp, C.Sort C.CProp) when need_dummy -> true
+ | ((C.Sort C.Set, C.Sort (C.Type _)) | (C.Sort C.CProp, C.Sort (C.Type _)))
+ (* TASSI: da verificare *)
+ when need_dummy ->
(match CicEnvironment.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
+ C.InductiveDefinition (itl,_,paramsno) ->
+ let tys =
+ List.map (fun (n,_,ty,_) -> Some (Cic.Name n,(Cic.Decl ty))) itl
+ in
+ let (_,_,_,cl) = List.nth itl i in
+ List.fold_right
+ (fun (_,x) i -> i && is_small tys paramsno x) cl true
| _ ->
- raise (WrongUriToMutualInductiveDefinitions (U.string_of_uri uri))
+ raise (TypeCheckerFailure ("Unknown mutual inductive definition:" ^
+ UriManager.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
+ | (C.Sort (C.Type _), C.Sort _) when need_dummy -> true
+ (* TASSI: da verificare *)
+ | (C.Sort C.Prop, C.Prod (name,so,ta)) when not need_dummy ->
+ let res = CicReduction.are_convertible context so ind
in
res &&
- (match CicReduction.whd ta with
+ (match CicReduction.whd ((Some (name,(C.Decl so)))::context) ta with
C.Sort C.Prop -> true
- | C.Sort C.Set ->
+ | (C.Sort C.Set | C.Sort C.CProp) ->
(match CicEnvironment.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))
+ raise (TypeCheckerFailure
+ ("Unknown mutual inductive definition:" ^
+ UriManager.string_of_uri uri))
)
| _ -> false
)
- | (C.Sort C.Set, C.Prod (_,so,ta)) when not need_dummy ->
- let res = CicReduction.are_convertible so ind
+ | ((C.Sort C.Set, C.Prod (name,so,ta)) | (C.Sort C.CProp, C.Prod (name,so,ta)))
+ when not need_dummy ->
+ let res = CicReduction.are_convertible context so ind
in
res &&
- (match CicReduction.whd ta with
+ (match CicReduction.whd ((Some (name,(C.Decl so)))::context) ta with
C.Sort C.Prop
| C.Sort C.Set -> true
- | C.Sort C.Type ->
+ | C.Sort C.CProp -> true
+ | C.Sort (C.Type _) ->
+ (* TASSI: da verificare *)
(match CicEnvironment.get_obj uri with
- C.InductiveDefinition (itl,_,_) ->
+ C.InductiveDefinition (itl,_,paramsno) ->
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 *)
+ let tys =
+ List.map
+ (fun (n,_,ty,_) -> Some (Cic.Name n,(Cic.Decl ty))) itl
in
- List.fold_right (fun (_,x,_) i -> i && is_small x) cl true
+ List.fold_right
+ (fun (_,x) i -> i && is_small tys paramsno x) cl true
| _ ->
- raise (WrongUriToMutualInductiveDefinitions
- (U.string_of_uri uri))
+ raise (TypeCheckerFailure
+ ("Unknown mutual inductive definition:" ^
+ UriManager.string_of_uri uri))
)
- | _ -> raise (Impossible 19)
+ | _ -> raise (AssertFailure "19")
)
- | (C.Sort C.Type, C.Prod (_,so,_)) when not need_dummy ->
- CicReduction.are_convertible so ind
+ | (C.Sort (C.Type _), C.Prod (_,so,_)) when not need_dummy ->
+ (* TASSI: da verificare *)
+ CicReduction.are_convertible context so ind
| (_,_) -> false
-and type_of_branch argsno need_dummy outtype term constype =
+and type_of_branch context argsno need_dummy outtype term constype =
let module C = Cic in
let module R = CicReduction in
- match R.whd constype with
+ match R.whd context constype with
C.MutInd (_,_,_) ->
if need_dummy then
outtype
@@ -986,150 +1277,270 @@ and type_of_branch argsno need_dummy outtype term constype =
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 20)
-
-
-and type_of t =
- let rec type_of_aux env =
+ 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 (AssertFailure "20")
+
+(* check_metasenv_consistency checks that the "canonical" context of a
+metavariable is consitent - up to relocation via the relocation list l -
+with the actual context *)
+
+and check_metasenv_consistency metasenv context canonical_context l =
+ let module C = Cic in
+ let module R = CicReduction in
+ let module S = CicSubstitution in
+ let lifted_canonical_context =
+ let rec aux i =
+ function
+ [] -> []
+ | (Some (n,C.Decl t))::tl ->
+ (Some (n,C.Decl (S.lift_meta l (S.lift i t))))::(aux (i+1) tl)
+ | (Some (n,C.Def (t,None)))::tl ->
+ (Some (n,C.Def ((S.lift_meta l (S.lift i t)),None)))::(aux (i+1) tl)
+ | None::tl -> None::(aux (i+1) tl)
+ | (Some (n,C.Def (t,Some ty)))::tl ->
+ (Some (n,C.Def ((S.lift_meta l (S.lift i t)),Some (S.lift_meta l (S.lift i ty)))))::(aux (i+1) tl)
+ in
+ aux 1 canonical_context
+ in
+ List.iter2
+ (fun t ct ->
+ match (t,ct) with
+ | _,None -> ()
+ | Some t,Some (_,C.Def (ct,_)) ->
+ if not (R.are_convertible context t ct) then
+ raise (TypeCheckerFailure (sprintf
+ "Not well typed metavariable local context: expected a term convertible with %s, found %s"
+ (CicPp.ppterm ct) (CicPp.ppterm t)))
+ | Some t,Some (_,C.Decl ct) ->
+ let type_t = type_of_aux' metasenv context t in
+ if not (R.are_convertible context type_t ct) then
+ raise (TypeCheckerFailure (sprintf
+ "Not well typed metavariable local context: expected a term of type %s, found %s of type %s"
+ (CicPp.ppterm ct) (CicPp.ppterm t) (CicPp.ppterm type_t)))
+ | None, _ ->
+ raise (TypeCheckerFailure
+ "Not well typed metavariable local context: an hypothesis, that is not hidden, is not instantiated")
+ ) 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 =
+ let rec type_of_aux context =
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 ->
+ C.Rel n ->
+ (try
+ match List.nth context (n - 1) with
+ Some (_,C.Decl t) -> S.lift n t
+ | Some (_,C.Def (_,Some ty)) -> S.lift n ty
+ | Some (_,C.Def (bo,None)) ->
+ debug_print "##### CASO DA INVESTIGARE E CAPIRE" ;
+ type_of_aux context (S.lift n bo)
+ | None -> raise (TypeCheckerFailure "Reference to deleted hypothesis")
+ with
+ _ ->
+ raise (TypeCheckerFailure "unbound variable")
+ )
+ | 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 -> raise NotImplemented
- | C.Sort s -> C.Sort C.Type (*CSC manca la gestione degli universi!!! *)
- | C.Implicit -> raise (Impossible 21)
- | 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.Meta (n,l) ->
+ let (_,canonical_context,ty) = CicUtil.lookup_meta n metasenv in
+ check_metasenv_consistency metasenv context canonical_context l;
+ CicSubstitution.lift_meta l ty
+ (* TASSI: CONSTRAINTS *)
+ | C.Sort (C.Type t) ->
+ let t' = CicUniv.fresh() in
+ if not (CicUniv.add_gt t' t ) then
+ assert false (* t' is fresh! an error in CicUniv *)
+ else
+ C.Sort (C.Type t')
+ (* TASSI: CONSTRAINTS *)
+ | C.Sort s -> C.Sort (C.Type (CicUniv.fresh ()))
+ | C.Implicit _ -> raise (AssertFailure "21")
+ | C.Cast (te,ty) as t ->
+ let _ = type_of_aux context ty in
+ if R.are_convertible context (type_of_aux context te) ty then
+ ty
+ else
+ raise (TypeCheckerFailure
+ (sprintf "Invalid cast %s" (CicPp.ppterm t)))
+ | C.Prod (name,s,t) ->
+ let sort1 = type_of_aux context s
+ and sort2 = type_of_aux ((Some (name,(C.Decl s)))::context) t in
+ sort_of_prod context (name,s) (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)
+ let sort1 = type_of_aux context s in
+ (match R.whd context sort1 with
+ C.Meta _
+ | C.Sort _ -> ()
+ | _ ->
+ raise
+ (TypeCheckerFailure (sprintf
+ "Not well-typed lambda-abstraction: the source %s should be a
+ type; instead it is a term of type %s" (CicPp.ppterm s)
+ (CicPp.ppterm sort1)))
+ ) ;
+ let type2 = type_of_aux ((Some (n,(C.Decl s)))::context) t 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
+ (* only to check if s is well-typed *)
+ let ty = type_of_aux context s in
+ (* 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,Some ty))))::context) t))
| 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) ->
+ 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 (AssertFailure "Appl: no arguments")
+ | 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) ->
- let outsort = type_of_aux env outtype in
+ | C.MutCase (uri,i,outtype,term,pl) ->
+ let outsort = type_of_aux context outtype in
let (need_dummy, k) =
- let rec guess_args t =
- match decast t with
+ let rec guess_args context t =
+ let outtype = CicReduction.whd context t in
+ match outtype with
C.Sort _ -> (true, 0)
- | C.Prod (_, s, t) ->
- let (b, n) = guess_args t in
+ | C.Prod (name, s, t) ->
+ let (b, n) = guess_args ((Some (name,(C.Decl s)))::context) 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')) :: _)
+ match CicReduction.whd context s with
+(*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
(b, n + 1)
- | _ -> raise (NotWellTyped "MutCase: outtype ill-formed")
+ | _ ->
+ raise (TypeCheckerFailure (sprintf
+ "Malformed case analasys' output type %s" (CicPp.ppterm outtype)))
in
(*CSC whd non serve dopo type_of_aux ? *)
- let (b, k) = guess_args outsort in
+ let (b, k) = guess_args context 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
+ 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 ([],[])
- 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")
+(*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 (TypeCheckerFailure (sprintf
+ "Case analysys: analysed term type is %s, but is expected to be (an application of) %s#1/%d{_}"
+ (CicPp.ppterm typ) (U.string_of_uri uri) i))
+ | C.Appl ((C.MutInd (uri',i',exp_named_subst) as typ):: tl) as typ' ->
+ 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 (TypeCheckerFailure (sprintf
+ "Case analysys: analysed term type is %s, but is expected to be (an application of) %s#1/%d{_}"
+ (CicPp.ppterm typ') (U.string_of_uri uri) i))
+ | _ ->
+ raise (TypeCheckerFailure (sprintf
+ "Case analysis: analysed term %s is not an inductive one"
+ (CicPp.ppterm term)))
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 uri i need_dummy
- sort_of_ind_type (type_of_aux env sort_of_ind_type) outsort)
+ if not (check_allowed_sort_elimination context uri i need_dummy
+ sort_of_ind_type (type_of_aux context sort_of_ind_type) outsort)
then
- raise (NotWellTyped "MutCase: not allowed sort elimination") ;
-
+ raise
+ (TypeCheckerFailure ("Case analasys: sort elimination not allowed"));
(* 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))
+ raise (TypeCheckerFailure
+ ("Unknown mutual inductive definition:" ^
+ UriManager.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 &&
- R.are_convertible (type_of_aux env p)
- (type_of_branch parsno need_dummy outtype cons
- (type_of_aux env cons))
+*)
+ (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 debug_print ("#### " ^ 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") ;
-
+ raise
+ (TypeCheckerFailure "Case analysys: wrong branch type");
if not need_dummy then
C.Appl ((outtype::arguments)@[term])
else if arguments = [] then
@@ -1139,23 +1550,33 @@ and type_of t =
| 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)
+ (List.map
+ (fun (n,k,ty,_) ->
+ let _ = type_of_aux context ty in
+ (Some (C.Name n,(C.Decl 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))
+ if
+ (R.are_convertible (types@context) (type_of_aux (types@context) bo)
+ (CicSubstitution.lift len ty))
then
begin
- let (m, eaten) = eat_lambdas (x + 1) bo in
+ let (m, eaten, context') =
+ eat_lambdas (types @ context) (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")
+ if
+ not
+ (guarded_by_destructors context' eaten (len + eaten) kl 1 [] m)
+ then
+ raise
+ (TypeCheckerFailure ("Fix: not guarded by destructors"))
end
else
- raise (NotWellTyped "Fix: ill-typed bodies")
+ raise (TypeCheckerFailure ("Fix: ill-typed bodies"))
) fl ;
(*CSC: controlli mancanti solo su D{f,k,x,M} *)
@@ -1163,101 +1584,240 @@ and type_of t =
ty
| C.CoFix (i,fl) ->
let types =
- List.rev (List.map (fun (_,ty,_) -> let _ = type_of_aux env ty in ty) fl)
+ List.rev
+ (List.map
+ (fun (n,ty,_) ->
+ let _ = type_of_aux context ty in Some (C.Name n,(C.Decl 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))
+ if
+ (R.are_convertible (types @ context)
+ (type_of_aux (types @ context) 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")
+ (* let's control that the returned type is coinductive *)
+ match returns_a_coinductive context ty with
+ None ->
+ raise
+ (TypeCheckerFailure
+ ("CoFix: does not return a coinductive type"))
+ | Some uri ->
+ (*let's control the guarded by constructors conditions C{f,M}*)
+ if
+ not
+ (guarded_by_constructors (types @ context) 0 len false bo
+ [] uri)
+ then
+ raise
+ (TypeCheckerFailure ("CoFix: not guarded by constructors"))
end
else
- raise (NotWellTyped "CoFix: ill-typed bodies")
+ raise
+ (TypeCheckerFailure ("CoFix: ill-typed bodies"))
) fl ;
let (_,ty,_) = List.nth fl i in
ty
- and decast =
- let module C = Cic in
+ and check_exp_named_subst context =
+ let rec check_exp_named_subst_aux substs =
function
- C.Cast (t,_) -> t
- | t -> t
+ [] -> ()
+ | ((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
+ (TypeCheckerFailure
+ ("A variable with a body can not be explicit substituted"))
+ | Cic.Variable (_,None,_,_) -> ()
+ | _ ->
+ raise (TypeCheckerFailure
+ ("Unknown variable definition:" ^
+ 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 (TypeCheckerFailure "Wrong Explicit Named Substitution")
+ end
+ in
+ check_exp_named_subst_aux []
- and sort_of_prod (t1, t2) =
+ and sort_of_prod context (name,s) (t1, t2) =
let module C = Cic in
- match (decast t1, decast t2) with
+ let t1' = CicReduction.whd context t1 in
+ let t2' = CicReduction.whd ((Some (name,C.Decl s))::context) t2 in
+ match (t1', t2') with
(C.Sort s1, C.Sort s2)
- when (s2 = C.Prop or s2 = C.Set) -> (* different from Coq manual!!! *)
+ when (s2 = C.Prop or s2 = C.Set or s2 = C.CProp) ->
+ (* 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")
+ | (C.Sort (C.Type t1), C.Sort (C.Type t2)) ->
+ (* TASSI: CONSRTAINTS: the same in doubletypeinference, cicrefine *)
+ let t' = CicUniv.fresh() in
+ if not (CicUniv.add_ge t' t1) || not (CicUniv.add_ge t' t2) then
+ assert false ; (* not possible, error in CicUniv *)
+ C.Sort (C.Type t')
+ | (C.Sort _,C.Sort (C.Type t1)) ->
+ (* TASSI: CONSRTAINTS: the same in doubletypeinference, cicrefine *)
+ C.Sort (C.Type t1) (* c'e' bisogno di un fresh? *)
+ | (C.Meta _, C.Sort _) -> t2'
+ | (C.Meta _, (C.Meta (_,_) as t))
+ | (C.Sort _, (C.Meta (_,_) as t)) when CicUtil.is_closed t ->
+ t2'
+ | (_,_) -> raise (TypeCheckerFailure (sprintf
+ "Prod: expected two sorts, found = %s, %s" (CicPp.ppterm t1')
+ (CicPp.ppterm t2')))
- and eat_prods hetype =
+ and eat_prods context 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
+ (match (CicReduction.whd context hetype) with
Cic.Prod (n,s,t) ->
- if CicReduction.are_convertible s hety then
+ if CicReduction.are_convertible context hety s then
(CicReduction.fdebug := -1 ;
- eat_prods (CicSubstitution.subst hete t) tl
+ eat_prods context (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")
+ begin
+ CicReduction.fdebug := 0 ;
+ ignore (CicReduction.are_convertible context s hety) ;
+ fdebug := 0 ;
+ debug s [hety] ;
+ raise (TypeCheckerFailure (sprintf
+ "Appl: wrong parameter-type, expected %s, found %s"
+ (CicPp.ppterm hetype) (CicPp.ppterm s)))
+ end
+ | _ ->
+ raise (TypeCheckerFailure
+ "Appl: this is not a function, it cannot be applied")
)
+
+ and returns_a_coinductive context ty =
+ let module C = Cic in
+ match CicReduction.whd context ty with
+ C.MutInd (uri,i,_) ->
+ (*CSC: definire una funzioncina per questo codice sempre replicato *)
+ (match CicEnvironment.get_cooked_obj ~trust:false uri with
+ C.InductiveDefinition (itl,_,_) ->
+ let (_,is_inductive,_,_) = List.nth itl i in
+ if is_inductive then None else (Some uri)
+ | _ ->
+ raise (TypeCheckerFailure
+ ("Unknown mutual inductive definition:" ^
+ UriManager.string_of_uri uri))
+ )
+ | C.Appl ((C.MutInd (uri,i,_))::_) ->
+ (match CicEnvironment.get_obj uri with
+ C.InductiveDefinition (itl,_,_) ->
+ let (_,is_inductive,_,_) = List.nth itl i in
+ if is_inductive then None else (Some uri)
+ | _ ->
+ raise (TypeCheckerFailure
+ ("Unknown mutual inductive definition:" ^
+ UriManager.string_of_uri uri))
+ )
+ | C.Prod (n,so,de) ->
+ returns_a_coinductive ((Some (n,C.Decl so))::context) de
+ | _ -> None
+
+ in
+(*CSC
+debug_print ("INIZIO TYPE_OF_AUX " ^ CicPp.ppterm t) ; flush stderr ;
+let res =
+*)
+ type_of_aux context t
+(*
+in debug_print "FINE TYPE_OF_AUX" ; flush stderr ; res
+*)
+
+(* is a small constructor? *)
+(*CSC: ottimizzare calcolando staticamente *)
+and is_small context paramsno c =
+ let rec is_small_aux context c =
+ let module C = Cic in
+ match CicReduction.whd context c with
+ C.Prod (n,so,de) ->
+ (*CSC: [] is an empty metasenv. Is it correct? *)
+ let s = type_of_aux' [] context so in
+ (s = C.Sort C.Prop || s = C.Sort C.Set || s = C.Sort C.CProp) &&
+ is_small_aux ((Some (n,(C.Decl so)))::context) de
+ | _ -> true (*CSC: we trust the type-checker *)
in
- type_of_aux [] t
+ let (context',dx) = split_prods context paramsno c in
+ is_small_aux context' dx
+
+and type_of t =
+(*CSC
+debug_print ("INIZIO TYPE_OF_AUX' " ^ CicPp.ppterm t) ; flush stderr ;
+let res =
+*)
+ type_of_aux' [] [] t
+(*CSC
+in debug_print "FINE TYPE_OF_AUX'" ; flush stderr ; res
+*)
;;
let typecheck uri =
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 *)
- log (`Start_type_checking uri) ;
+ CicLogger.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,_) ->
+ if not (R.are_convertible [] (type_of te ) ty) then
+ raise (TypeCheckerFailure
+ ("Unknown constant:" ^ U.string_of_uri uri))
+ | C.Constant (_,None,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) ->
+ | 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
+ let type_of_te = type_of_aux' conjs [] te in
+ if not (R.are_convertible [] type_of_te ty)
+ then
+ raise (TypeCheckerFailure (sprintf
+ "the current proof %s is not well typed because the type %s of the body is not convertible to the declared type %s"
+ (U.string_of_uri uri) (CicPp.ppterm type_of_te)
+ (CicPp.ppterm ty)))
+ | 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)))
+ if not (R.are_convertible [] (type_of bo) ty) then
+ raise (TypeCheckerFailure
+ ("Unknown 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 ;
- log (`Type_checking_completed uri)
+ CicLogger.log (`Type_checking_completed uri)
;;