X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Focaml%2Fcic_proof_checking%2FcicTypeChecker.ml;h=11d68b78c052d0d653bb2b73372c3afd160d2dee;hb=89262281b6e83bd2321150f81f1a0583645eb0c8;hp=2ccc1e7436e88ce16f012e36b5e9679174b80219;hpb=5a92117eeff70048d29e91ba24e113155d956e1b;p=helm.git
diff --git a/helm/ocaml/cic_proof_checking/cicTypeChecker.ml b/helm/ocaml/cic_proof_checking/cicTypeChecker.ml
index 2ccc1e743..11d68b78c 100644
--- a/helm/ocaml/cic_proof_checking/cicTypeChecker.ml
+++ b/helm/ocaml/cic_proof_checking/cicTypeChecker.ml
@@ -23,8 +23,7 @@
* http://cs.unibo.it/helm/.
*)
-exception NotImplemented;;
-exception Impossible;;
+exception Impossible of int;;
exception NotWellTyped of string;;
exception WrongUriToConstant of string;;
exception WrongUriToVariable of string;;
@@ -33,67 +32,19 @@ exception ListTooShort;;
exception NotPositiveOccurrences of string;;
exception NotWellFormedTypeOfInductiveConstructor of string;;
exception WrongRequiredArgument of string;;
-
-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
-;;
+exception RelToHiddenHypothesis;;
+exception MetasenvInconsistency;;
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,
- C.Prod (C.Name "-15", C.Const (U.uri_of_string "cic:/dummy-15",0),
- C.Prod (C.Name "-14", C.Const (U.uri_of_string "cic:/dummy-14",0),
- C.Prod (C.Name "-13", C.Const (U.uri_of_string "cic:/dummy-13",0),
- C.Prod (C.Name "-12", C.Const (U.uri_of_string "cic:/dummy-12",0),
- C.Prod (C.Name "-11", C.Const (U.uri_of_string "cic:/dummy-11",0),
- C.Prod (C.Name "-10", C.Const (U.uri_of_string "cic:/dummy-10",0),
- C.Prod (C.Name "-9", C.Const (U.uri_of_string "cic:/dummy-9",0),
- C.Prod (C.Name "-8", C.Const (U.uri_of_string "cic:/dummy-8",0),
- C.Prod (C.Name "-7", C.Const (U.uri_of_string "cic:/dummy-7",0),
- C.Prod (C.Name "-6", C.Const (U.uri_of_string "cic:/dummy-6",0),
- C.Prod (C.Name "-5", C.Const (U.uri_of_string "cic:/dummy-5",0),
- C.Prod (C.Name "-4", C.Const (U.uri_of_string "cic:/dummy-4",0),
- C.Prod (C.Name "-3", C.Const (U.uri_of_string "cic:/dummy-3",0),
- C.Prod (C.Name "-2", C.Const (U.uri_of_string "cic:/dummy-2",0),
- C.Prod (C.Name "-1", C.Const (U.uri_of_string "cic:/dummy-1",0),
- t
- )
- )
- )
- )
- )
- )
- )
- )
- )))))))
- )) ^ "\n" ^ i
+ 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 (NotWellTyped ("\n" ^ List.fold_right debug_aux (t::context) ""))
+ (*print_endline ("\n" ^ List.fold_right debug_aux (t::context) "") ; flush stdout*)
;;
let rec split l n =
@@ -113,24 +64,26 @@ let rec cooked_type_of_constant uri cookingsno =
match CicEnvironment.is_type_checked uri cookingsno with
CicEnvironment.CheckedObj cobj -> cobj
| CicEnvironment.UncheckedObj uobj ->
- log (`Start_type_checking uri) ;
+ Logger.log (`Start_type_checking uri) ;
(* let's typecheck the uncooked obj *)
(match uobj with
C.Definition (_,te,ty,_) ->
let _ = type_of ty in
- if not (R.are_convertible (type_of te) ty) then
+ if not (R.are_convertible [] (type_of te) ty) then
raise (NotWellTyped ("Constant " ^ (U.string_of_uri uri)))
| C.Axiom (_,ty,_) ->
(* only to check that ty is well-typed *)
let _ = type_of ty in ()
- | C.CurrentProof (_,_,te,ty) ->
- let _ = type_of ty in
- if not (R.are_convertible (type_of te) ty) then
+ | C.CurrentProof (_,conjs,te,ty) ->
+ (*CSC: bisogna controllare anche il metasenv!!! *)
+ 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 ;
- log (`Type_checking_completed uri) ;
+ Logger.log (`Type_checking_completed uri) ;
match CicEnvironment.is_type_checked uri cookingsno with
CicEnvironment.CheckedObj cobj -> cobj
| CicEnvironment.UncheckedObj _ -> raise CicEnvironmentError
@@ -149,65 +102,74 @@ and type_of_variable uri =
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) ;
+ Logger.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
+ if not (R.are_convertible [] (type_of bo) ty) then
raise (NotWellTyped ("Variable " ^ (U.string_of_uri uri)))
) ;
CicEnvironment.set_type_checking_info uri ;
- log (`Type_checking_completed uri) ;
+ Logger.log (`Type_checking_completed uri) ;
ty
| _ -> raise (WrongUriToVariable (UriManager.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.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.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)))::context) (n + 1) (nn + 1) dest
| C.Appl l ->
- List.fold_right (fun x i -> i && does_not_occur n nn x) l true
+ 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) ->
- 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
+ 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 *)
@@ -215,52 +177,63 @@ 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 (UriManager.uri_of_string "cic:/Coq/Init/Datatypes/nat.ind",0,0)
+ 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 *)
+ dummy_mutind
| 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
+ 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.Appl (List.map subst_inductive_type_with_dummy_mutind 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)
+ 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)
| t -> t
in
- match CicReduction.whd te with
+ 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) ->
- 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
+ strictly_positive context n nn
+ (subst_inductive_type_with_dummy_mutind source) &&
+ weakly_positive ((Some (C.Anonimous,(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 (NotWellFormedTypeOfInductiveConstructor ("Guess where the error is ;-)"))
(* instantiate_parameters ps (x1:T1)...(xn:Tn)C *)
@@ -273,27 +246,27 @@ and instantiate_parameters params c =
instantiate_parameters tl
(CicSubstitution.subst he ta)
| (C.Cast (te,_), _) -> instantiate_parameters params te
- | (t,l) -> raise Impossible
+ | (t,l) -> raise (Impossible 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
+ List.fold_right (fun x i -> i && does_not_occur context n nn x) tl true
| C.Appl ((C.MutInd (uri,_,i))::tl) ->
- let (ok,paramsno,cl) =
+ 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)
+ let (name,_,ity,cl) = List.nth tl i in
+ (List.length tl = 1, paramsno, ity, cl, name)
| _ -> raise(WrongUriToMutualInductiveDefinitions(U.string_of_uri uri))
in
let (params,arguments) = split tl paramsno in
@@ -303,26 +276,21 @@ and strictly_positive n nn te =
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 *)
@@ -332,13 +300,13 @@ 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))
) 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))
| C.Rel m when m = i ->
@@ -347,15 +315,21 @@ and are_all_occurrences_positive uri indparamsno i n nn te =
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 ->
+ strictly_positive context n nn source &&
+ are_all_occurrences_positive
+ ((Some (C.Anonimous,(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
+ 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 (NotWellFormedTypeOfInductiveConstructor (UriManager.string_of_uri uri))
(*CSC: cambiare il nome, torna unit! *)
@@ -374,6 +348,11 @@ and cooked_mutual_inductive_defs uri =
(* 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 ->
@@ -386,13 +365,15 @@ and cooked_mutual_inductive_defs uri =
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)
+ 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
- | None -> r := Some (recursive_args 0 len te)
+ Some _ -> raise (Impossible 2)
+ | None -> r := Some (recursive_args tys 0 len te)
) cl ;
(i + 1)
) itl 1
@@ -409,10 +390,10 @@ and cooked_type_of_mutual_inductive_defs uri cookingsno i =
match CicEnvironment.is_type_checked uri cookingsno with
CicEnvironment.CheckedObj cobj -> cobj
| CicEnvironment.UncheckedObj uobj ->
- log (`Start_type_checking uri) ;
+ Logger.log (`Start_type_checking uri) ;
cooked_mutual_inductive_defs uri uobj ;
CicEnvironment.set_type_checking_info uri ;
- log (`Type_checking_completed uri) ;
+ Logger.log (`Type_checking_completed uri) ;
(match CicEnvironment.is_type_checked uri cookingsno with
CicEnvironment.CheckedObj cobj -> cobj
| CicEnvironment.UncheckedObj _ -> raise CicEnvironmentError
@@ -432,10 +413,10 @@ and cooked_type_of_mutual_inductive_constr uri cookingsno i j =
match CicEnvironment.is_type_checked uri cookingsno with
CicEnvironment.CheckedObj cobj -> cobj
| CicEnvironment.UncheckedObj uobj ->
- log (`Start_type_checking uri) ;
+ Logger.log (`Start_type_checking uri) ;
cooked_mutual_inductive_defs uri uobj ;
CicEnvironment.set_type_checking_info uri ;
- log (`Type_checking_completed uri) ;
+ Logger.log (`Type_checking_completed uri) ;
(match CicEnvironment.is_type_checked uri cookingsno with
CicEnvironment.CheckedObj cobj -> cobj
| CicEnvironment.UncheckedObj _ -> raise CicEnvironmentError
@@ -448,34 +429,34 @@ and cooked_type_of_mutual_inductive_constr uri cookingsno i j =
ty
| _ -> raise (WrongUriToMutualInductiveDefinitions (U.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 (* due to type-checking *)
- | C.Prod (_,so,de) ->
- (not (does_not_occur n nn so))::(recursive_args (n+1) (nn + 1) de)
- | C.Lambda _ -> raise Impossible (* due to type-checking *)
- | C.LetIn _ -> raise NotImplemented
+ | C.Cast _ (*CSC ??? *) -> raise (Impossible 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 (Impossible 4) (* due to type-checking *)
| C.Appl _ -> []
- | C.Const _
- | C.Abst _ -> raise Impossible
+ | C.Const _ -> raise (Impossible 5)
| C.MutInd _
| C.MutConstruct _
| C.MutCase _
| C.Fix _
- | C.CoFix _ -> raise Impossible (* due to type-checking *)
+ | C.CoFix _ -> raise (Impossible 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' =
@@ -484,36 +465,48 @@ 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
+ 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)
+ | (_,_,_) ->
+ (* 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 (Impossible 7)
-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
+ 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 (Impossible 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
+ 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')
+ | (_, _) -> raise (Impossible 9)
(*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 _
@@ -528,23 +521,22 @@ 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
- | 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 (Impossible 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)))::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
+ 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
+ | C.MutInd _ -> raise (Impossible 12)
| C.MutConstruct _ -> false
| C.MutCase (uri,_,i,outtype,term,pl) ->
(match term with
@@ -552,17 +544,23 @@ and check_is_really_smaller_arg n nn kl x safes te =
let (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,r) ->
+ (id, snd (split_prods tys paramsno ty), r)) cl
+ in
+ (isinductive,paramsno,cl')
| _ ->
raise (WrongUriToMutualInductiveDefinitions(U.string_of_uri uri))
in
if not isinductive then
List.fold_right
- (fun p i -> i && check_is_really_smaller_arg n nn kl x safes p)
+ (fun p i ->
+ i && check_is_really_smaller_arg context n nn kl x safes p)
pl true
else
List.fold_right
@@ -572,29 +570,35 @@ and check_is_really_smaller_arg n nn kl x safes te =
Some rl' ->
let (_,rl'') = split rl' paramsno in
rl''
- | None -> raise Impossible
+ | None -> raise (Impossible 13)
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) =
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
+ let cl' =
+ List.map
+ (fun (id,ty,r) ->
+ (id, snd (split_prods tys paramsno ty), r)) cl
+ in
(isinductive,paramsno,cl')
| _ ->
raise (WrongUriToMutualInductiveDefinitions(U.string_of_uri uri))
in
if not isinductive then
List.fold_right
- (fun p i -> i && check_is_really_smaller_arg n nn kl x safes p)
+ (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*)
@@ -606,83 +610,91 @@ and check_is_really_smaller_arg n nn kl x safes te =
Some rl' ->
let (_,rl'') = split rl' paramsno in
rl''
- | None -> raise Impossible
+ | None -> raise (Impossible 14)
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.Rel n ->
+ (match List.nth context (n-1) with
+ Some (_,C.Decl _) -> true
+ | 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
| 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)))::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) ->
@@ -692,22 +704,28 @@ and guarded_by_destructors n nn kl x safes =
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,r) ->
+ (id, snd (split_prods tys paramsno ty), r)) cl
+ in
+ (isinductive,paramsno,cl')
| _ ->
raise (WrongUriToMutualInductiveDefinitions(U.string_of_uri uri))
in
if not isinductive then
- guarded_by_destructors n nn kl x safes outtype &&
- guarded_by_destructors n nn kl x safes term &&
+ 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 ->
@@ -716,38 +734,45 @@ and guarded_by_destructors n nn kl x safes =
Some rl' ->
let (_,rl'') = split rl' paramsno in
rl''
- | None -> raise Impossible
+ | None -> raise (Impossible 15)
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
| C.Appl ((C.Rel m)::tl) when List.mem m safes || m = x ->
let (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,r) ->
+ (id, snd (split_prods tys paramsno ty), r)) cl
+ in
+ (isinductive,paramsno,cl')
| _ ->
raise (WrongUriToMutualInductiveDefinitions(U.string_of_uri uri))
in
if not isinductive then
- guarded_by_destructors n nn kl x safes outtype &&
- guarded_by_destructors n nn kl x safes term &&
+ 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 ->
@@ -756,20 +781,20 @@ and guarded_by_destructors n nn kl x safes =
Some rl' ->
let (_,rl'') = split rl' paramsno in
rl''
- | None -> raise Impossible
+ | None -> raise (Impossible 16)
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) ->
@@ -777,143 +802,220 @@ 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
+ (*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 _
- | C.Var _
+ | C.Var _ -> 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 (* 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 _ ->
+ raise (Impossible 17) (* the term has just been type-checked *)
+ | 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
+ 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) ->
- let (is_coinductive, rl) =
+ let consty =
match CicEnvironment.get_cooked_obj uri cookingsno with
C.InductiveDefinition (itl,_,_) ->
- let (_,is_inductive,_,cl) = List.nth itl i in
- let (_,cons,rrec_args) = List.nth cl (j - 1) in
- (match !rrec_args with
- None -> raise Impossible
- | Some rec_args -> (not is_inductive, rec_args)
- )
+ let (_,_,_,cl) = List.nth itl i in
+ let (_,cons,_) = List.nth cl (j - 1) in cons
| _ ->
raise (WrongUriToMutualInductiveDefinitions
(UriManager.string_of_uri uri))
in
- is_coinductive &&
- List.fold_right
- (fun (x,r) i ->
- i &&
- if r then
- guarded_by_constructors n nn 1 x
- else
- does_not_occur n nn x
- ) (List.combine tl rl) true
+ let rec analyse_branch context ty te =
+ match CicReduction.whd context ty with
+ C.Meta _ -> raise (Impossible 34)
+ | C.Rel _
+ | C.Var _
+ | C.Sort _ ->
+ does_not_occur context n nn te
+ | C.Implicit
+ | C.Cast _ -> raise (Impossible 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 (Impossible 25) (* due to type-checking *)
+ | C.Appl ((C.MutInd (uri,_,_))::tl) as ty
+ when uri == coInductiveTypeURI ->
+ guarded_by_constructors context n nn true te [] coInductiveTypeURI
+ | C.Appl ((C.MutInd (uri,_,_))::tl) as ty ->
+ guarded_by_constructors context n nn true te tl coInductiveTypeURI
+ | C.Appl _ ->
+ does_not_occur context n nn te
+ | C.Const _ -> raise (Impossible 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 (Impossible 27)
+ (*CSC: we do not consider backbones with a MutCase, Fix, Cofix *)
+ (*CSC: in head position. *)
+ | C.MutCase _
+ | C.Fix _
+ | C.CoFix _ -> raise (Impossible 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 (Impossible 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 (Impossible 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 (Impossible 31)
+ | C.MutInd _ ->
+ List.fold_left
+ (fun i x -> i && does_not_occur context n nn x) true l
+ | C.MutConstruct _ -> raise (Impossible 32)
+ (*CSC: we do not consider backbones with a MutCase, Fix, Cofix *)
+ (*CSC: in head position. *)
+ | C.MutCase _
+ | C.Fix _
+ | C.CoFix _ -> raise (Impossible 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 (Impossible 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 *)
+ List.fold_right (fun x i -> i && does_not_occur context n nn x) l true
+ | C.Const _ -> true
+ | C.MutInd _ -> assert false
+ | C.MutConstruct _ -> true
| 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
+ 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 ->
@@ -929,28 +1031,22 @@ and check_allowed_sort_elimination uri i need_dummy ind arity1 arity2 =
| (C.Sort C.Set, C.Sort C.Set) when need_dummy -> true
| (C.Sort C.Set, C.Sort C.Type) 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))
)
| (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.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 ->
(match CicEnvironment.get_obj uri with
@@ -964,41 +1060,37 @@ and check_allowed_sort_elimination uri i need_dummy ind arity1 arity2 =
)
| _ -> 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)) 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 ->
(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 Impossible
+ | _ -> raise (Impossible 19)
)
| (C.Sort C.Type, C.Prod (_,so,_)) when not need_dummy ->
- CicReduction.are_convertible so ind
+ 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
@@ -1012,60 +1104,109 @@ 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
-
-
-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.Anonimous,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
+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))::tl ->
+ (Some (n,C.Def (S.lift_meta l (S.lift i t))))::(aux (i+1) tl)
+ | None::tl -> None::(aux (i+1) tl)
+ 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
+
+(* 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.Rel n ->
+ (try
+ match List.nth context (n - 1) with
+ Some (_,C.Decl t) -> S.lift n t
+ | Some (_,C.Def bo) -> type_of_aux context (S.lift n bo)
+ | None -> raise RelToHiddenHypothesis
+ with
+ _ -> raise (NotWellTyped "Not a close term")
+ )
| C.Var uri ->
incr fdebug ;
let ty = type_of_variable uri in
decr fdebug ;
ty
- | C.Meta n -> raise NotImplemented
+ | C.Meta (n,l) ->
+ let (_,canonical_context,ty) =
+ List.find (function (m,_,_) -> n = m) metasenv
+ in
+ check_metasenv_consistency metasenv context canonical_context l;
+ CicSubstitution.lift_meta l ty
| C.Sort s -> C.Sort C.Type (*CSC manca la gestione degli universi!!! *)
- | C.Implicit -> raise Impossible
+ | 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
+ let _ = type_of_aux context ty in
+ if R.are_convertible context (type_of_aux context 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.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
+ let sort1 = type_of_aux context s
+ and type2 = type_of_aux ((Some (n,(C.Decl s)))::context) t in
+ let sort2 = type_of_aux ((Some (n,(C.Decl s)))::context) type2 in
(* only to check if the product is well-typed *)
- let _ = sort_of_prod (sort1,sort2) in
+ let _ = sort_of_prod context (n,s) (sort1,sort2) in
C.Prod (n,s,type2)
| C.LetIn (n,s,t) ->
- let type1 = type_of_aux env s in
- let type2 = type_of_aux (type1::env) t in
- type2
+ (* 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)
| 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)
+ 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) ->
incr fdebug ;
let cty = cooked_type_of_constant uri cookingsno in
decr fdebug ;
cty
- | C.Abst _ -> raise Impossible
| C.MutInd (uri,cookingsno,i) ->
incr fdebug ;
let cty = cooked_type_of_mutual_inductive_defs uri cookingsno i in
@@ -1076,16 +1217,16 @@ and type_of t =
in
cty
| C.MutCase (uri,cookingsno,i,outtype,term,pl) ->
- let outsort = type_of_aux env outtype in
+ 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 =
+ match CicReduction.whd context t 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
+ 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')) :: _)
@@ -1096,11 +1237,11 @@ and type_of t =
| _ -> raise (NotWellTyped "MutCase: outtype ill-formed")
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
+ 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*)
@@ -1124,8 +1265,8 @@ and type_of t =
else
C.Appl ((C.MutInd (uri,cookingsno,i))::parameters)
in
- if not (check_allowed_sort_elimination uri i need_dummy
- sort_of_ind_type (type_of_aux env sort_of_ind_type) outsort)
+ 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") ;
@@ -1147,9 +1288,9 @@ and type_of t =
(C.Appl (C.MutConstruct (uri,cookingsno,i,j)::parameters))
in
(j + 1, b &&
- R.are_convertible (type_of_aux env p)
- (type_of_branch parsno need_dummy outtype cons
- (type_of_aux env cons))
+ R.are_convertible context (type_of_aux context p)
+ (type_of_branch context parsno need_dummy outtype cons
+ (type_of_aux context cons))
)
) (1,true) (List.combine pl cl)
in
@@ -1165,19 +1306,28 @@ 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
+ if
+ not
+ (guarded_by_destructors context' eaten (len + eaten) kl 1 [] m)
+ then
raise (NotWellTyped "Fix: not guarded by destructors")
end
else
@@ -1189,18 +1339,31 @@ 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(NotWellTyped "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 (NotWellTyped "CoFix: not guarded by constructors")
end
else
raise (NotWellTyped "CoFix: ill-typed bodies")
@@ -1209,44 +1372,104 @@ and type_of t =
let (_,ty,_) = List.nth fl i in
ty
- and decast =
+ and sort_of_prod context (name,s) (t1, t2) =
let module C = Cic in
- function
- C.Cast (t,_) -> t
- | t -> t
-
- and sort_of_prod (t1, t2) =
- let module C = Cic in
- match (decast t1, decast t2) with
+ 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!!! *)
C.Sort s2
| (C.Sort s1, C.Sort s2) -> C.Sort C.Type (*CSC manca la gestione degli universi!!! *)
- | (_,_) -> raise (NotWellTyped "Prod")
+ | (_,_) ->
+ raise
+ (NotWellTyped
+ ("Prod: sort1= " ^ CicPp.ppterm t1' ^ " ; sort2= " ^ 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 s hety 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")
-)
+ begin
+ CicReduction.fdebug := 0 ;
+ ignore (CicReduction.are_convertible context s hety) ;
+ fdebug := 0 ;
+ debug s [hety] ;
+ raise (NotWellTyped "Appl: wrong parameter-type")
+ end
| _ -> raise (NotWellTyped "Appl: wrong Prod-type")
)
+
+ and returns_a_coinductive context ty =
+ let module C = Cic in
+ match CicReduction.whd context ty with
+ C.MutInd (uri,cookingsno,i) ->
+ (*CSC: definire una funzioncina per questo codice sempre replicato *)
+ (match CicEnvironment.get_cooked_obj uri cookingsno with
+ C.InductiveDefinition (itl,_,_) ->
+ let (_,is_inductive,_,cl) = 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))::_) ->
+ (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 (WrongUriToMutualInductiveDefinitions
+ (UriManager.string_of_uri uri))
+ )
+ | C.Prod (n,so,de) ->
+ returns_a_coinductive ((Some (n,C.Decl so))::context) de
+ | _ -> None
+
in
- type_of_aux [] t
+(*CSC
+prerr_endline ("INIZIO TYPE_OF_AUX " ^ CicPp.ppterm t) ; flush stderr ;
+let res =
+*)
+ type_of_aux context t
+(*
+in prerr_endline "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) &&
+ is_small_aux ((Some (n,(C.Decl so)))::context) de
+ | _ -> true (*CSC: we trust the type-checker *)
+ in
+ let (context',dx) = split_prods context paramsno c in
+ is_small_aux context' dx
+
+and type_of t =
+(*CSC
+prerr_endline ("INIZIO TYPE_OF_AUX' " ^ CicPp.ppterm t) ; flush stderr ;
+let res =
+*)
+ type_of_aux' [] [] t
+(*CSC
+in prerr_endline "FINE TYPE_OF_AUX'" ; flush stderr ; res
+*)
;;
let typecheck uri =
@@ -1257,33 +1480,33 @@ let typecheck uri =
CicEnvironment.CheckedObj _ -> ()
| CicEnvironment.UncheckedObj uobj ->
(* let's typecheck the uncooked object *)
- log (`Start_type_checking uri) ;
+ Logger.log (`Start_type_checking uri) ;
(match uobj with
C.Definition (_,te,ty,_) ->
let _ = type_of ty in
- if not (R.are_convertible (type_of te ) ty) then
+ if not (R.are_convertible [] (type_of te ) ty) then
raise (NotWellTyped ("Constant " ^ (U.string_of_uri uri)))
| C.Axiom (_,ty,_) ->
(* only to check that ty is well-typed *)
let _ = type_of ty in ()
- | C.CurrentProof (_,_,te,ty) ->
- (*CSC [] wrong *)
- let _ = type_of ty in
- debug (type_of te) [] ;
- if not (R.are_convertible (type_of te) ty) then
- raise (NotWellTyped ("CurrentProof" ^ (U.string_of_uri uri)))
+ | C.CurrentProof (_,conjs,te,ty) ->
+ (*CSC: bisogna controllare anche il metasenv!!! *)
+ 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
+ raise (NotWellTyped ("CurrentProof" ^ (U.string_of_uri uri)))
| C.Variable (_,bo,ty) ->
(* only to check that ty is well-typed *)
let _ = type_of ty in
(match bo with
None -> ()
| Some bo ->
- if not (R.are_convertible (type_of bo) ty) then
+ if not (R.are_convertible [] (type_of bo) ty) then
raise (NotWellTyped ("Variable" ^ (U.string_of_uri uri)))
)
| C.InductiveDefinition _ ->
cooked_mutual_inductive_defs uri uobj
) ;
CicEnvironment.set_type_checking_info uri ;
- log (`Type_checking_completed uri)
+ Logger.log (`Type_checking_completed uri)
;;