raise (TypeCheckerFailure (lazy "Parameters number < left parameters number"))
;;
-let debrujin_constructor ?(cb=fun _ _ -> ()) uri number_of_types =
+(* XXX: bug *)
+let ugraph_convertibility ug1 ug2 ul2 = true;;
+
+let check_and_clean_ugraph inferred_ugraph unchecked_ugraph uri obj =
+ match unchecked_ugraph with
+ | Some (ug,ul) ->
+ if not (ugraph_convertibility inferred_ugraph ug ul) then
+ raise (TypeCheckerFailure (lazy
+ ("inferred univ graph not equal with declared ugraph")))
+ else
+ ug,ul,obj
+ | None ->
+ CicUnivUtils.clean_and_fill uri obj inferred_ugraph
+;;
+
+let debrujin_constructor ?(cb=fun _ _ -> ()) ?(check_exp_named_subst=true) uri number_of_types context =
let rec aux k t =
let module C = Cic in
let res =
| 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.LetIn (n,s,ty,t) -> C.LetIn (n, aux k s, aux k ty, aux (k+1) t)
| C.Appl l -> C.Appl (List.map (aux k) l)
| C.Const (uri,exp_named_subst) ->
let 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
+ if check_exp_named_subst && exp_named_subst != [] then
raise (TypeCheckerFailure
(lazy ("non-empty explicit named substitution is applied to "^
"a mutual inductive type which is being defined"))) ;
cb t res;
res
in
- aux 0
+ aux (List.length context)
;;
exception CicEnvironmentError;;
-let rec type_of_constant ~logger uri ugraph =
+let check_homogeneous_call context indparamsno n uri reduct tl =
+ let last =
+ List.fold_left
+ (fun k x ->
+ if k = 0 then 0
+ else
+ match CicReduction.whd context x with
+ | Cic.Rel m when m = n - (indparamsno - k) -> k - 1
+ | _ -> raise (TypeCheckerFailure (lazy
+ ("Argument "^string_of_int (indparamsno - k + 1) ^ " (of " ^
+ string_of_int indparamsno ^ " fixed) is not homogeneous in "^
+ "appl:\n"^ CicPp.ppterm reduct))))
+ indparamsno tl
+ in
+ if last <> 0 then
+ raise (TypeCheckerFailure
+ (lazy ("Non-positive occurence in mutual inductive definition(s) [2]"^
+ UriManager.string_of_uri uri)))
+;;
+
+
+let rec type_of_constant ~logger uri orig_ugraph =
let module C = Cic in
let module R = CicReduction in
let module U = UriManager in
let cobj,ugraph =
- match CicEnvironment.is_type_checked ~trust:true ugraph uri with
+ match CicEnvironment.is_type_checked ~trust:true orig_ugraph uri with
CicEnvironment.CheckedObj (cobj,ugraph') -> cobj,ugraph'
- | CicEnvironment.UncheckedObj uobj ->
+ | CicEnvironment.UncheckedObj (uobj,unchecked_ugraph) ->
logger#log (`Start_type_checking uri) ;
(* let's typecheck the uncooked obj *)
-
-(****************************************************************
- TASSI: FIXME qui e' inutile ricordarselo,
- tanto poi lo richiediamo alla cache che da quello su disco
-*****************************************************************)
-
- let ugraph_dust =
- (match uobj with
+ let inferred_ugraph =
+ match uobj with
C.Constant (_,Some te,ty,_,_) ->
- let _,ugraph = type_of ~logger ty ugraph in
- let type_of_te,ugraph' = type_of ~logger te ugraph in
- let b',ugraph'' = (R.are_convertible [] type_of_te ty ugraph') in
- if not b' then
+ let _,ugraph = type_of ~logger ty CicUniv.empty_ugraph in
+ let type_of_te,ugraph = type_of ~logger te ugraph in
+ let b,ugraph = R.are_convertible [] type_of_te ty ugraph in
+ if not b then
raise (TypeCheckerFailure (lazy (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))))
else
- ugraph'
+ ugraph
| C.Constant (_,None,ty,_,_) ->
(* only to check that ty is well-typed *)
- let _,ugraph' = type_of ~logger ty ugraph in
- ugraph'
+ let _,ugraph = type_of ~logger ty CicUniv.empty_ugraph in
+ ugraph
| C.CurrentProof (_,conjs,te,ty,_,_) ->
- let _,ugraph1 =
+ let _,ugraph =
List.fold_left
(fun (metasenv,ugraph) ((_,context,ty) as conj) ->
- let _,ugraph' =
- type_of_aux' ~logger metasenv context ty ugraph
- in
- (metasenv @ [conj],ugraph')
- ) ([],ugraph) conjs
+ let _,ugraph =
+ type_of_aux' ~logger metasenv context ty ugraph
+ in
+ (metasenv @ [conj],ugraph)
+ ) ([],CicUniv.empty_ugraph) conjs
in
- let _,ugraph2 = type_of_aux' ~logger conjs [] ty ugraph1 in
- let type_of_te,ugraph3 =
- type_of_aux' ~logger conjs [] te ugraph2
- in
- let b,ugraph4 = (R.are_convertible [] type_of_te ty ugraph3) in
+ let _,ugraph = type_of_aux' ~logger conjs [] ty ugraph in
+ let type_of_te,ugraph = type_of_aux' ~logger conjs [] te ugraph in
+ let b,ugraph = R.are_convertible [] type_of_te ty ugraph in
if not b then
raise (TypeCheckerFailure (lazy (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))))
else
- ugraph4
+ ugraph
| _ ->
raise
- (TypeCheckerFailure (lazy ("Unknown constant:" ^ U.string_of_uri uri))))
+ (TypeCheckerFailure (lazy ("Unknown constant:" ^ U.string_of_uri uri)))
in
- try
- CicEnvironment.set_type_checking_info uri;
- logger#log (`Type_checking_completed uri) ;
- match CicEnvironment.is_type_checked ~trust:false ugraph uri with
- CicEnvironment.CheckedObj (cobj,ugraph') -> cobj,ugraph'
- | CicEnvironment.UncheckedObj _ -> raise CicEnvironmentError
- with Invalid_argument s ->
- (*debug_print (lazy s);*)
- uobj,ugraph_dust
+ let ugraph, ul, obj = check_and_clean_ugraph inferred_ugraph unchecked_ugraph uri uobj in
+ CicEnvironment.set_type_checking_info uri (obj, ugraph, ul);
+ logger#log (`Type_checking_completed uri) ;
+ match CicEnvironment.is_type_checked ~trust:false orig_ugraph uri with
+ CicEnvironment.CheckedObj (cobj,ugraph') -> cobj,ugraph'
+ | CicEnvironment.UncheckedObj _ -> raise CicEnvironmentError
in
match cobj,ugraph with
(C.Constant (_,_,ty,_,_)),g -> ty,g
| _ ->
raise (TypeCheckerFailure (lazy ("Unknown constant:" ^ U.string_of_uri uri)))
-and type_of_variable ~logger uri ugraph =
+and type_of_variable ~logger uri orig_ugraph =
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 ~trust:true ugraph uri with
- CicEnvironment.CheckedObj ((C.Variable (_,_,ty,_,_)),ugraph') -> ty,ugraph'
- | CicEnvironment.UncheckedObj (C.Variable (_,bo,ty,_,_)) ->
+ match CicEnvironment.is_type_checked ~trust:true orig_ugraph uri with
+ | CicEnvironment.CheckedObj ((C.Variable (_,_,ty,_,_)),ugraph') -> ty,ugraph'
+ | CicEnvironment.UncheckedObj
+ (C.Variable (_,bo,ty,_,_) as uobj, unchecked_ugraph)
+ ->
logger#log (`Start_type_checking uri) ;
(* only to check that ty is well-typed *)
- let _,ugraph1 = type_of ~logger ty ugraph in
- let ugraph2 =
- (match bo with
+ let _,ugraph = type_of ~logger ty CicUniv.empty_ugraph in
+ let inferred_ugraph =
+ match bo with
None -> ugraph
| Some bo ->
- let ty_bo,ugraph' = type_of ~logger bo ugraph1 in
- let b,ugraph'' = (R.are_convertible [] ty_bo ty ugraph') in
+ let ty_bo,ugraph = type_of ~logger bo ugraph in
+ let b,ugraph = R.are_convertible [] ty_bo ty ugraph in
if not b then
raise (TypeCheckerFailure
(lazy ("Unknown variable:" ^ U.string_of_uri uri)))
- else
- ugraph'')
+ else
+ ugraph
in
- (try
- CicEnvironment.set_type_checking_info uri ;
- logger#log (`Type_checking_completed uri) ;
- match CicEnvironment.is_type_checked ~trust:false ugraph uri with
- CicEnvironment.CheckedObj ((C.Variable (_,_,ty,_,_)),ugraph') ->
- ty,ugraph'
- | CicEnvironment.CheckedObj _
- | CicEnvironment.UncheckedObj _ -> raise CicEnvironmentError
- with Invalid_argument s ->
- (*debug_print (lazy s);*)
- ty,ugraph2)
+ let ugraph, ul, obj =
+ check_and_clean_ugraph inferred_ugraph unchecked_ugraph uri uobj
+ in
+ CicEnvironment.set_type_checking_info uri (obj, ugraph, ul);
+ logger#log (`Type_checking_completed uri) ;
+ (match CicEnvironment.is_type_checked ~trust:false orig_ugraph uri with
+ CicEnvironment.CheckedObj((C.Variable(_,_,ty,_,_)),ugraph)->ty,ugraph
+ | CicEnvironment.CheckedObj _
+ | CicEnvironment.UncheckedObj _ -> raise CicEnvironmentError)
| _ ->
- raise (TypeCheckerFailure (lazy ("Unknown variable:" ^ U.string_of_uri uri)))
+ raise (TypeCheckerFailure (lazy
+ ("Unknown variable:" ^ U.string_of_uri uri)))
and does_not_occur ?(subst=[]) context n nn te =
let module C = Cic in
Failure _ -> assert false)
| C.Sort _
| C.Implicit _ -> true
- | C.Meta (_,l) ->
+ | C.Meta (mno,l) ->
List.fold_right
(fun x i ->
match x with
None -> i
| Some x -> i && does_not_occur ~subst context n nn x) l true &&
(try
- let (canonical_context,term,ty) = CicUtil.lookup_subst n subst in
+ let (canonical_context,term,ty) = CicUtil.lookup_subst mno subst in
does_not_occur ~subst context n nn (CicSubstitution.subst_meta l term)
with
CicUtil.Subst_not_found _ -> true)
| C.Cast (te,ty) ->
- does_not_occur ~subst context n nn te && does_not_occur ~subst context n nn ty
+ does_not_occur ~subst context n nn te &&
+ does_not_occur ~subst context n nn ty
| C.Prod (name,so,dest) ->
does_not_occur ~subst context n nn so &&
does_not_occur ~subst ((Some (name,(C.Decl so)))::context) (n + 1)
(nn + 1) dest
| C.Lambda (name,so,dest) ->
does_not_occur ~subst context n nn so &&
- does_not_occur ~subst ((Some (name,(C.Decl so)))::context) (n + 1) (nn + 1)
+ does_not_occur ~subst ((Some (name,(C.Decl so)))::context) (n+1) (nn+1)
dest
- | C.LetIn (name,so,dest) ->
+ | C.LetIn (name,so,ty,dest) ->
does_not_occur ~subst context n nn so &&
- does_not_occur ~subst ((Some (name,(C.Def (so,None))))::context)
- (n + 1) (nn + 1) dest
+ does_not_occur ~subst context n nn ty &&
+ does_not_occur ~subst ((Some (name,(C.Def (so,ty))))::context)
+ (n + 1) (nn + 1) dest
| C.Appl l ->
- List.fold_right (fun x i -> i && does_not_occur ~subst context n nn x) l true
+ List.for_all (does_not_occur ~subst context n nn) l
| 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 ~subst context n nn x)
- exp_named_subst true
+ List.for_all (fun (_,x) -> does_not_occur ~subst context n nn x)
+ exp_named_subst
| C.MutCase (_,_,out,te,pl) ->
- does_not_occur ~subst context n nn out && does_not_occur ~subst context n nn te &&
- List.fold_right (fun x i -> i && does_not_occur ~subst context n nn x) pl true
+ does_not_occur ~subst context n nn out &&
+ does_not_occur ~subst context n nn te &&
+ List.for_all (does_not_occur ~subst context n nn) pl
| 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
+ let tys,_ =
+ List.fold_left
+ (fun (types,len) (n,_,ty,_) ->
+ (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types,
+ len+1)
+ ) ([],0) fl
in
List.fold_right
(fun (_,_,ty,bo) i ->
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
+ let tys,_ =
+ List.fold_left
+ (fun (types,len) (n,ty,_) ->
+ (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types,
+ len+1)
+ ) ([],0) fl
in
List.fold_right
(fun (_,ty,bo) i ->
does_not_occur ~subst (tys @ context) n_plus_len nn_plus_len bo
) fl true
-(*CSC l'indice x dei tipi induttivi e' t.c. n < x <= nn *)
-(*CSC questa funzione e' simile alla are_all_occurrences_positive, ma fa *)
-(*CSC dei controlli leggermente diversi. Viene invocata solamente dalla *)
-(*CSC strictly_positive *)
-(*CSC definizione (giusta???) tratta dalla mail di Hugo ;-) *)
-and weakly_positive context n nn uri te =
+(* Inductive types being checked for positivity have *)
+(* indexes x s.t. n < x <= nn. *)
+and weakly_positive context n nn uri indparamsno posuri 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,[])
+ (*CSC: Not very nice. *)
+ let leftno =
+ match CicEnvironment.get_obj CicUniv.oblivion_ugraph uri with
+ | Cic.InductiveDefinition (_,_,leftno,_), _ -> leftno
+ | _ -> assert false
in
- (*CSC: mettere in cicSubstitution *)
- let rec subst_inductive_type_with_dummy_mutind =
+ let dummy = Cic.Sort Cic.Prop in
+ (*CSC: to be moved in cicSubstitution? *)
+ let rec subst_inductive_type_with_dummy =
function
C.MutInd (uri',0,_) when UriManager.eq uri' uri ->
- dummy_mutind
+ dummy
| 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
+ let _, rargs = HExtlib.split_nth leftno tl in
+ if rargs = [] then dummy else Cic.Appl (dummy :: rargs)
+ | C.Cast (te,ty) -> subst_inductive_type_with_dummy te
| C.Prod (name,so,ta) ->
- C.Prod (name, subst_inductive_type_with_dummy_mutind so,
- subst_inductive_type_with_dummy_mutind ta)
+ C.Prod (name, subst_inductive_type_with_dummy so,
+ subst_inductive_type_with_dummy ta)
| C.Lambda (name,so,ta) ->
- C.Lambda (name, subst_inductive_type_with_dummy_mutind so,
- subst_inductive_type_with_dummy_mutind ta)
+ C.Lambda (name, subst_inductive_type_with_dummy so,
+ subst_inductive_type_with_dummy ta)
+ | C.LetIn (name,so,ty,ta) ->
+ C.LetIn (name, subst_inductive_type_with_dummy so,
+ subst_inductive_type_with_dummy ty,
+ subst_inductive_type_with_dummy ta)
| C.Appl tl ->
- C.Appl (List.map subst_inductive_type_with_dummy_mutind tl)
+ C.Appl (List.map subst_inductive_type_with_dummy 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)
+ subst_inductive_type_with_dummy outtype,
+ subst_inductive_type_with_dummy term,
+ List.map subst_inductive_type_with_dummy pl)
| C.Fix (i,fl) ->
C.Fix (i,List.map (fun (name,i,ty,bo) -> (name,i,
- subst_inductive_type_with_dummy_mutind ty,
- subst_inductive_type_with_dummy_mutind bo)) fl)
+ subst_inductive_type_with_dummy ty,
+ subst_inductive_type_with_dummy bo)) fl)
| C.CoFix (i,fl) ->
C.CoFix (i,List.map (fun (name,ty,bo) -> (name,
- subst_inductive_type_with_dummy_mutind ty,
- subst_inductive_type_with_dummy_mutind bo)) fl)
+ subst_inductive_type_with_dummy ty,
+ subst_inductive_type_with_dummy 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))
+ (function (uri,t) -> (uri,subst_inductive_type_with_dummy t))
exp_named_subst
in
C.Const (uri,exp_named_subst')
+ | C.Var (uri,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map
+ (function (uri,t) -> (uri,subst_inductive_type_with_dummy t))
+ exp_named_subst
+ in
+ C.Var (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))
+ (function (uri,t) -> (uri,subst_inductive_type_with_dummy 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))
+ (function (uri,t) -> (uri,subst_inductive_type_with_dummy t))
exp_named_subst
in
C.MutConstruct (uri,typeno,consno,exp_named_subst')
| t -> t
in
- match CicReduction.whd context te with
- C.Appl ((C.MutInd (uri',0,_))::tl) when UriManager.eq uri' uri -> true
- | C.MutInd (uri',0,_) when UriManager.eq uri' uri -> true
- | C.Prod (C.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 (lazy "Malformed inductive constructor type"))
+ (* this function has the same semantics of are_all_occurrences_positive
+ but the i-th context entry role is played by dummy and some checks
+ are skipped because we already know that are_all_occurrences_positive
+ of uri in te. *)
+ let rec aux context n nn te =
+ match CicReduction.whd context te with
+ | C.Appl (C.Sort C.Prop::tl) ->
+ List.for_all (does_not_occur context n nn) tl
+ | C.Sort C.Prop -> true
+ | C.Prod (name,source,dest) when
+ does_not_occur ((Some (name,(C.Decl source)))::context) 0 1 dest ->
+ (* dummy abstraction, so we behave as in the anonimous case *)
+ strictly_positive context n nn indparamsno posuri source &&
+ aux ((Some (name,(C.Decl source)))::context)
+ (n + 1) (nn + 1) dest
+ | C.Prod (name,source,dest) ->
+ does_not_occur context n nn source &&
+ aux ((Some (name,(C.Decl source)))::context)
+ (n + 1) (nn + 1) dest
+ | _ ->
+ raise (TypeCheckerFailure (lazy "Malformed inductive constructor type"))
+ in
+ aux context n nn (subst_inductive_type_with_dummy te)
(* instantiate_parameters ps (x1:T1)...(xn:Tn)C *)
(* returns ((x_|ps|:T_|ps|)...(xn:Tn)C){ps_1 / x1 ; ... ; ps_|ps| / x_|ps|} *)
| (C.Cast (te,_), _) -> instantiate_parameters params te
| (t,l) -> raise (AssertFailure (lazy "1"))
-and strictly_positive context n nn te =
+and strictly_positive context n nn indparamsno posuri te =
let module C = Cic in
let module U = UriManager in
match CicReduction.whd context te with
- C.Rel _ -> true
+ | t when does_not_occur context n nn t -> true
+ | C.Rel _ when indparamsno = 0 -> true
| C.Cast (te,ty) ->
(*CSC: bisogna controllare ty????*)
- strictly_positive context n nn te
+ strictly_positive context n nn indparamsno posuri 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 ->
+ strictly_positive ((Some (name,(C.Decl so)))::context) (n+1) (nn+1)
+ indparamsno posuri ta
+ | C.Appl ((C.Rel m)::tl) as reduct when m > n && m <= nn ->
+ check_homogeneous_call context indparamsno n posuri reduct tl;
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) ->
+ | C.Appl ((C.MutInd (uri,i,exp_named_subst))::_)
+ | (C.MutInd (uri,i,exp_named_subst)) as t ->
+ let tl = match t with C.Appl (_::tl) -> tl | _ -> [] in
let (ok,paramsno,ity,cl,name) =
- let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
- match o with
- C.InductiveDefinition (tl,_,paramsno,_) ->
- let (name,_,ity,cl) = List.nth tl i in
- (List.length tl = 1, paramsno, ity, cl, name)
- | _ ->
- raise (TypeCheckerFailure
- (lazy ("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' =
+ let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
+ match o with
+ C.InductiveDefinition (tl,_,paramsno,_) ->
+ let (name,_,ity,cl) = List.nth tl i in
+ (List.length tl = 1, paramsno, ity, cl, name)
+ (* (true, paramsno, ity, cl, name) *)
+ | _ ->
+ raise
+ (TypeCheckerFailure
+ (lazy ("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
- (CicSubstitution.subst_vars exp_named_subst te)
- ) cl
- in
+ (fun (_,te) ->
+ instantiate_parameters lifted_params
+ (CicSubstitution.subst_vars exp_named_subst te)
+ ) cl
+ in
ok &&
- List.fold_right
+ List.fold_right
(fun x i -> i && does_not_occur context n nn x)
arguments true &&
- (*CSC: MEGAPATCH3 (sara' quella giusta?)*)
- List.fold_right
+ List.fold_right
(fun x i ->
- i &&
- weakly_positive
- ((Some (C.Name name,(Cic.Decl ity)))::context) (n+1) (nn+1) uri
- x
+ i &&
+ weakly_positive
+ ((Some (C.Name name,(Cic.Decl ity)))::context) (n+1) (nn+1) uri
+ indparamsno posuri x
) cl' true
- | t -> does_not_occur context n nn t
-
+ | t -> false
+
(* the inductive type indexes are s.t. n < x <= nn *)
and are_all_occurrences_positive context uri indparamsno i n nn te =
let module C = Cic in
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 *)
- (* indparamsno parameters *)
- let last =
- List.fold_left
- (fun k x ->
- if k = 0 then 0
- else
- match CicReduction.whd context x with
- C.Rel m when m = n - (indparamsno - k) -> k - 1
- | _ ->
- raise (TypeCheckerFailure
- (lazy
- ("Non-positive occurence in mutual inductive definition(s) [1]" ^
- UriManager.string_of_uri uri)))
- ) indparamsno tl
- in
- if last = 0 then
- List.fold_right (fun x i -> i && does_not_occur context n nn x) tl true
- else
- raise (TypeCheckerFailure
- (lazy ("Non-positive occurence in mutual inductive definition(s) [2]"^
- UriManager.string_of_uri uri)))
+ C.Appl ((C.Rel m)::tl) as reduct when m = i ->
+ check_homogeneous_call context indparamsno n uri reduct tl;
+ List.fold_right (fun x i -> i && does_not_occur context n nn x) tl true
| C.Rel m when m = i ->
if indparamsno = 0 then
true
raise (TypeCheckerFailure
(lazy ("Non-positive occurence in mutual inductive definition(s) [3]"^
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 ->
+ does_not_occur ((Some (name,(C.Decl source)))::context) 0 1 dest ->
(* dummy abstraction, so we behave as in the anonimous case *)
- strictly_positive context n nn source &&
+ strictly_positive context n nn indparamsno uri source &&
are_all_occurrences_positive
((Some (name,(C.Decl source)))::context) uri indparamsno
(i+1) (n + 1) (nn + 1) dest
(* 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
+ List.rev_map (fun (n,_,ty,_) -> Some (Cic.Name n,(Cic.Decl ty))) itl in
let _,ugraph2 =
List.fold_right
- (fun (_,_,_,cl) (i,ugraph) ->
- let ugraph'' =
+ (fun (_,_,ty,cl) (i,ugraph) ->
+ let _,ty_sort = split_prods ~subst:[] [] ~-1 ty in
+ let ugraph'' =
List.fold_left
(fun ugraph (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 _,ugraph' = type_of ~logger augmented_term ugraph in
+ let te = debrujin_constructor uri len [] te in
+ let context,te = split_prods ~subst:[] tys indparamsno te in
+ let con_sort,ugraph = type_of_aux' ~logger [] context te ugraph in
+ let ugraph =
+ match
+ CicReduction.whd context con_sort, CicReduction.whd [] ty_sort
+ with
+ Cic.Sort (Cic.Type u1), Cic.Sort (Cic.Type u2)
+ | Cic.Sort (Cic.CProp u1), Cic.Sort (Cic.CProp u2)
+ | Cic.Sort (Cic.Type u1), Cic.Sort (Cic.CProp u2)
+ | Cic.Sort (Cic.CProp u1), Cic.Sort (Cic.Type u2) ->
+ CicUniv.add_ge u2 u1 ugraph
+ | Cic.Sort _, Cic.Sort Cic.Prop
+ | Cic.Sort _, Cic.Sort Cic.CProp _
+ | Cic.Sort _, Cic.Sort Cic.Set
+ | Cic.Sort _, Cic.Sort Cic.Type _ -> ugraph
+ | a,b ->
+ raise
+ (TypeCheckerFailure
+ (lazy ("Wrong constructor or inductive arity shape: "^
+ CicPp.ppterm a ^ " --- " ^ CicPp.ppterm b))) in
(* let's check also the positivity conditions *)
if
- not
- (are_all_occurrences_positive tys uri indparamsno i 0 len
- debrujinedte)
+ not
+ (are_all_occurrences_positive context uri indparamsno
+ (i+indparamsno) indparamsno (len+indparamsno) te)
then
- raise
- (TypeCheckerFailure
- (lazy ("Non positive occurence in " ^ U.string_of_uri uri)))
+ raise
+ (TypeCheckerFailure
+ (lazy ("Non positive occurence in " ^ U.string_of_uri uri)))
else
- ugraph'
+ ugraph
) ugraph cl in
- (i + 1),ugraph''
+ (i + 1),ugraph''
) itl (1,ugrap1)
in
ugraph2
and check_mutual_inductive_defs uri obj ugraph =
match obj with
Cic.InductiveDefinition (itl, params, indparamsno, _) ->
- typecheck_mutual_inductive_defs uri (itl,params,indparamsno) ugraph
+ typecheck_mutual_inductive_defs uri (itl,params,indparamsno) ugraph
| _ ->
- raise (TypeCheckerFailure (
- lazy ("Unknown mutual inductive definition:" ^
- UriManager.string_of_uri uri)))
+ raise (TypeCheckerFailure (
+ lazy ("Unknown mutual inductive definition:" ^
+ UriManager.string_of_uri uri)))
-and type_of_mutual_inductive_defs ~logger uri i ugraph =
+and type_of_mutual_inductive_defs ~logger uri i orig_ugraph =
let module C = Cic in
let module R = CicReduction in
let module U = UriManager in
let cobj,ugraph1 =
- match CicEnvironment.is_type_checked ~trust:true ugraph uri with
+ match CicEnvironment.is_type_checked ~trust:true orig_ugraph uri with
CicEnvironment.CheckedObj (cobj,ugraph') -> cobj,ugraph'
- | CicEnvironment.UncheckedObj uobj ->
- logger#log (`Start_type_checking uri) ;
- let ugraph1_dust =
- check_mutual_inductive_defs ~logger uri uobj ugraph
- in
- (* TASSI: FIXME: check ugraph1 == ugraph ritornato da env *)
- try
- CicEnvironment.set_type_checking_info uri ;
- logger#log (`Type_checking_completed uri) ;
- (match CicEnvironment.is_type_checked ~trust:false ugraph uri with
- CicEnvironment.CheckedObj (cobj,ugraph') -> (cobj,ugraph')
- | CicEnvironment.UncheckedObj _ -> raise CicEnvironmentError
- )
- with
- Invalid_argument s ->
- (*debug_print (lazy s);*)
- uobj,ugraph1_dust
+ | CicEnvironment.UncheckedObj (uobj,unchecked_ugraph) ->
+ logger#log (`Start_type_checking uri) ;
+ let inferred_ugraph =
+ check_mutual_inductive_defs ~logger uri uobj CicUniv.empty_ugraph
+ in
+ let ugraph, ul, obj = check_and_clean_ugraph inferred_ugraph unchecked_ugraph uri uobj in
+ CicEnvironment.set_type_checking_info uri (obj,ugraph,ul);
+ logger#log (`Type_checking_completed uri) ;
+ (match CicEnvironment.is_type_checked ~trust:false orig_ugraph uri with
+ CicEnvironment.CheckedObj (cobj,ugraph') -> (cobj,ugraph')
+ | CicEnvironment.UncheckedObj _ -> raise CicEnvironmentError
+ )
in
- match cobj with
- C.InductiveDefinition (dl,_,_,_) ->
- let (_,_,arity,_) = List.nth dl i in
- arity,ugraph1
- | _ ->
- raise (TypeCheckerFailure
- (lazy ("Unknown mutual inductive definition:" ^ U.string_of_uri uri)))
-
-and type_of_mutual_inductive_constr ~logger uri i j ugraph =
+ match cobj with
+ | C.InductiveDefinition (dl,_,_,_) ->
+ let (_,_,arity,_) = List.nth dl i in
+ arity,ugraph1
+ | _ ->
+ raise (TypeCheckerFailure
+ (lazy ("Unknown mutual inductive definition:" ^ U.string_of_uri uri)))
+
+and type_of_mutual_inductive_constr ~logger uri i j orig_ugraph =
let module C = Cic in
let module R = CicReduction in
let module U = UriManager in
let cobj,ugraph1 =
- match CicEnvironment.is_type_checked ~trust:true ugraph uri with
- CicEnvironment.CheckedObj (cobj,ugraph') -> cobj,ugraph'
- | CicEnvironment.UncheckedObj uobj ->
- logger#log (`Start_type_checking uri) ;
- let ugraph1_dust =
- check_mutual_inductive_defs ~logger uri uobj ugraph
- in
- (* check ugraph1 validity ??? == ugraph' *)
- try
- CicEnvironment.set_type_checking_info uri ;
- logger#log (`Type_checking_completed uri) ;
- (match
- CicEnvironment.is_type_checked ~trust:false ugraph uri
- with
- CicEnvironment.CheckedObj (cobj,ugraph') -> cobj,ugraph'
- | CicEnvironment.UncheckedObj _ ->
- raise CicEnvironmentError)
- with
- Invalid_argument s ->
- (*debug_print (lazy s);*)
- uobj,ugraph1_dust
+ match CicEnvironment.is_type_checked ~trust:true orig_ugraph uri with
+ CicEnvironment.CheckedObj (cobj,ugraph') -> cobj,ugraph'
+ | CicEnvironment.UncheckedObj (uobj,unchecked_ugraph) ->
+ logger#log (`Start_type_checking uri) ;
+ let inferred_ugraph =
+ check_mutual_inductive_defs ~logger uri uobj CicUniv.empty_ugraph
+ in
+ let ugraph, ul, obj = check_and_clean_ugraph inferred_ugraph unchecked_ugraph uri uobj in
+ CicEnvironment.set_type_checking_info uri (obj, ugraph, ul);
+ logger#log (`Type_checking_completed uri) ;
+ (match
+ CicEnvironment.is_type_checked ~trust:false orig_ugraph uri
+ with
+ CicEnvironment.CheckedObj (cobj,ugraph') -> cobj,ugraph'
+ | CicEnvironment.UncheckedObj _ ->
+ raise CicEnvironmentError)
in
match cobj with
- C.InductiveDefinition (dl,_,_,_) ->
- let (_,_,_,cl) = List.nth dl i in
+ C.InductiveDefinition (dl,_,_,_) ->
+ let (_,_,_,cl) = List.nth dl i in
let (_,ty) = List.nth cl (j-1) in
ty,ugraph1
| _ ->
- raise (TypeCheckerFailure
+ raise (TypeCheckerFailure
(lazy ("Unknown mutual inductive definition:" ^ UriManager.string_of_uri uri)))
and recursive_args context n nn te =
let module C = Cic in
- match CicReduction.whd context te with
- C.Rel _ -> []
- | C.Var _
- | C.Meta _
- | C.Sort _
- | C.Implicit _
- | C.Cast _ (*CSC ??? *) ->
- raise (AssertFailure (lazy "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 (lazy "4")) (* due to type-checking *)
- | C.Appl _ -> []
- | C.Const _ -> raise (AssertFailure (lazy "5"))
- | C.MutInd _
- | C.MutConstruct _
- | C.MutCase _
- | C.Fix _
- | C.CoFix _ -> raise (AssertFailure (lazy "6")) (* due to type-checking *)
+ match CicReduction.whd context te with
+ C.Rel _
+ | C.MutInd _ -> []
+ | C.Var _
+ | C.Meta _
+ | C.Sort _
+ | C.Implicit _
+ | C.Cast _ (*CSC ??? *) ->
+ raise (AssertFailure (lazy "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 (lazy "4")) (* due to type-checking *)
+ | C.Appl _ -> []
+ | C.Const _ -> raise (AssertFailure (lazy "5"))
+ | C.MutConstruct _
+ | C.MutCase _
+ | C.Fix _
+ | C.CoFix _ -> raise (AssertFailure (lazy "6")) (* due to type-checking *)
-and get_new_safes ~subst context p c rl safes n nn x =
+and get_new_safes ~subst context p rl safes n nn x =
let module C = Cic in
let module U = UriManager in
let module R = CicReduction in
- match (R.whd ~subst context c, R.whd ~subst 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' =
- List.map (fun x -> x + 1) safes
- in
- let safes'' =
- if b then 1::safes' else safes'
- in
- get_new_safes ~subst ((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) *)
+ match R.whd ~subst context p, rl with
+ | C.Lambda (name,so,ta), b::tl ->
+ let safes = List.map (fun x -> x + 1) safes in
+ let safes = if b then 1::safes else safes in
+ get_new_safes ~subst ((Some (name,(C.Decl so)))::context)
+ ta tl safes (n+1) (nn+1) (x+1)
+ | C.MutConstruct _ as e, _
+ | (C.Rel _ as e), _
+ | e, [] -> (e,safes,n,nn,x,context)
+ | p,_::_ ->
raise
(AssertFailure (lazy
- (Printf.sprintf "Get New Safes: c=%s ; p=%s"
- (CicPp.ppterm c) (CicPp.ppterm p))))
+ (Printf.sprintf "Get New Safes: p=%s" (CicPp.ppterm p))))
and split_prods ~subst context n te =
let module C = Cic in
let module R = CicReduction in
match (n, R.whd ~subst context te) with
(0, _) -> context,te
- | (n, C.Prod (name,so,ta)) when n > 0 ->
+ | (n, C.Sort _) when n <= 0 -> context,te
+ | (n, C.Prod (name,so,ta)) ->
split_prods ~subst ((Some (name,(C.Decl so)))::context) (n - 1) ta
| (_, _) -> raise (AssertFailure (lazy "8"))
| (n, te) ->
raise (AssertFailure (lazy (sprintf "9 (%d, %s)" n (CicPp.ppterm te))))
-(*CSC: Tutto quello che segue e' l'intuzione di luca ;-) *)
-and check_is_really_smaller_arg ~subst context n nn kl x safes te =
- (*CSC: forse la whd si puo' fare solo quando serve veramente. *)
- (*CSC: cfr guarded_by_destructors *)
+and specialize_inductive_type ~logger ~subst ~metasenv context t =
+ let ty,_= type_of_aux' ~logger ~subst metasenv context t CicUniv.oblivion_ugraph in
+ match CicReduction.whd ~subst context ty with
+ | Cic.MutInd (uri,_,exp)
+ | Cic.Appl (Cic.MutInd (uri,_,exp) :: _) as ty ->
+ let args = match ty with Cic.Appl (_::tl) -> tl | _ -> [] in
+ let o,_ = CicEnvironment.get_obj CicUniv.oblivion_ugraph uri in
+ (match o with
+ | Cic.InductiveDefinition (tl,_,paramsno,_) ->
+ let left_args,_ = HExtlib.split_nth paramsno args in
+ List.map (fun (name, isind, arity, cl) ->
+ let arity = CicSubstitution.subst_vars exp arity in
+ let arity = instantiate_parameters left_args arity in
+ let cl =
+ List.map
+ (fun (id,ty) ->
+ let ty = CicSubstitution.subst_vars exp ty in
+ id, instantiate_parameters left_args ty)
+ cl
+ in
+ name, isind, arity, cl)
+ tl, paramsno
+ | _ -> assert false)
+ | _ -> assert false
+
+and check_is_really_smaller_arg
+ ~logger ~metasenv ~subst rec_uri rec_uri_len context n nn kl x safes te
+=
let module C = Cic in
let module U = UriManager in
+ (*CSC: we could perform beta-iota(-zeta?) immediately, and
+ delta only on-demand when it fails without *)
match CicReduction.whd ~subst context te with
C.Rel m when List.mem m safes -> true
- | C.Rel _ -> false
- | C.Var _
- | C.Meta _
- | C.Sort _
- | C.Implicit _
- | C.Cast _
-(* | C.Cast (te,ty) ->
- check_is_really_smaller_arg ~subst n nn kl x safes te &&
- check_is_really_smaller_arg ~subst n nn kl x safes ty*)
-(* | C.Prod (_,so,ta) ->
- check_is_really_smaller_arg ~subst n nn kl x safes so &&
- check_is_really_smaller_arg ~subst (n+1) (nn+1) kl (x+1)
- (List.map (fun x -> x + 1) safes) ta*)
- | C.Prod _ -> raise (AssertFailure (lazy "10"))
- | C.Lambda (name,so,ta) ->
- check_is_really_smaller_arg ~subst context n nn kl x safes so &&
- check_is_really_smaller_arg ~subst ((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 ~subst context n nn kl x safes so &&
- check_is_really_smaller_arg ~subst ((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 ~subst context n nn kl x safes he
- | C.Appl [] -> raise (AssertFailure (lazy "11"))
+ | C.Rel _
+ | C.MutConstruct _
| C.Const _
- | C.MutInd _ -> raise (AssertFailure (lazy "12"))
- | C.MutConstruct _ -> false
+ | C.Var _ -> false
+ | C.Appl (he::_) ->
+ check_is_really_smaller_arg rec_uri rec_uri_len
+ ~logger ~metasenv ~subst context n nn kl x safes he
+ | C.Lambda (name,ty,ta) ->
+ check_is_really_smaller_arg rec_uri rec_uri_len
+ ~logger ~metasenv ~subst (Some (name,Cic.Decl ty)::context)
+ (n+1) (nn+1) kl (x+1) (List.map (fun n -> n+1) safes) ta
| C.MutCase (uri,i,outtype,term,pl) ->
(match term with
- C.Rel m when List.mem m safes || m = x ->
- let (tys,len,isinductive,paramsno,cl) =
- let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
- match o with
- C.InductiveDefinition (tl,_,paramsno,_) ->
- 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 ~subst tys paramsno ty))) cl
- in
- (tys,List.length tl,isinductive,paramsno,cl')
- | _ ->
- raise (TypeCheckerFailure
- (lazy ("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 ~subst context n nn kl x safes p)
- pl true
- else
- let pl_and_cl =
- try
- List.combine pl cl
- with
- Invalid_argument _ ->
- raise (TypeCheckerFailure (lazy "not enough patterns"))
- in
- List.fold_right
- (fun (p,(_,c)) i ->
- let rl' =
- let debrujinedte = debrujin_constructor uri len c in
- recursive_args tys 0 len debrujinedte
- in
- let (e,safes',n',nn',x',context') =
- get_new_safes ~subst context p c rl' safes n nn x
- in
- i &&
- check_is_really_smaller_arg ~subst context' n' nn' kl x' safes' e
- ) pl_and_cl true
- | C.Appl ((C.Rel m)::tl) when List.mem m safes || m = x ->
- let (tys,len,isinductive,paramsno,cl) =
- let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
- match o with
- C.InductiveDefinition (tl,_,paramsno,_) ->
- 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) ->
- (id, snd (split_prods ~subst tys paramsno ty))) cl
- in
- (tys,List.length tl,isinductive,paramsno,cl')
- | _ ->
- raise (TypeCheckerFailure
- (lazy ("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 ~subst context n nn kl x safes p)
- pl true
- else
- let pl_and_cl =
- try
- List.combine pl cl
- with
- Invalid_argument _ ->
- raise (TypeCheckerFailure (lazy "not enough patterns"))
- in
- (*CSC: supponiamo come prima che nessun controllo sia necessario*)
- (*CSC: sugli argomenti di una applicazione *)
- List.fold_right
- (fun (p,(_,c)) i ->
- let rl' =
- let debrujinedte = debrujin_constructor uri len c in
- recursive_args tys 0 len debrujinedte
- in
- let (e, safes',n',nn',x',context') =
- get_new_safes ~subst context p c rl' safes n nn x
- in
- i &&
- check_is_really_smaller_arg ~subst context' n' nn' kl x' safes' e
- ) pl_and_cl true
+ | C.Rel m | C.Appl ((C.Rel m)::_) when List.mem m safes || m = x ->
+ let tys,_ =
+ specialize_inductive_type ~logger ~subst ~metasenv context term
+ in
+ let tys_ctx,_ =
+ List.fold_left
+ (fun (types,len) (n,_,ty,_) ->
+ Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types,
+ len+1)
+ ([],0) tys
+ in
+ let _,isinductive,_,cl = List.nth tys i in
+ if not isinductive then
+ List.for_all
+ (check_is_really_smaller_arg rec_uri rec_uri_len
+ ~logger ~metasenv ~subst context n nn kl x safes)
+ pl
+ else
+ List.for_all2
+ (fun p (_,c) ->
+ let rec_params =
+ let c =
+ debrujin_constructor ~check_exp_named_subst:false
+ rec_uri rec_uri_len context c in
+ let len_ctx = List.length context in
+ recursive_args (context@tys_ctx) len_ctx (len_ctx+rec_uri_len) c
+ in
+ let (e, safes',n',nn',x',context') =
+ get_new_safes ~subst context p rec_params safes n nn x
+ in
+ check_is_really_smaller_arg rec_uri rec_uri_len
+ ~logger ~metasenv ~subst context' n' nn' kl x' safes' e
+ ) pl cl
| _ ->
- List.fold_right
- (fun p i ->
- i && check_is_really_smaller_arg ~subst context n nn kl x safes p
- ) pl true
+ List.for_all
+ (check_is_really_smaller_arg
+ rec_uri rec_uri_len ~logger ~metasenv ~subst
+ context n nn kl x safes) pl
)
| 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 tys,_ =
+ List.fold_left
+ (fun (types,len) (n,_,ty,_) ->
+ (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types,
+ len+1)
+ ) ([],0) fl
and safes' = List.map (fun x -> x + len) safes in
- List.fold_right
- (fun (_,_,ty,bo) i ->
- i &&
- check_is_really_smaller_arg ~subst (tys@context) n_plus_len nn_plus_len kl
+ List.for_all
+ (fun (_,_,_,bo) ->
+ check_is_really_smaller_arg
+ rec_uri rec_uri_len ~logger ~metasenv ~subst
+ (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 ~subst (tys@context) n_plus_len nn_plus_len kl
- x_plus_len safes' bo
- ) fl true
+ ) fl
+ | t ->
+ raise (AssertFailure (lazy ("An inhabitant of an inductive type in normal form cannot have this shape: " ^ CicPp.ppterm t)))
-and guarded_by_destructors ~subst context n nn kl x safes =
+and guarded_by_destructors
+ ~logger ~metasenv ~subst rec_uri rec_uri_len context n nn kl x safes t
+=
let module C = Cic in
let module U = UriManager in
- function
+ let t = CicReduction.whd ~delta:false ~subst context t in
+ let res =
+ match t with
C.Rel m when m > n && m <= nn -> false
| C.Rel m ->
- (match List.nth context (n-1) with
+ (match List.nth context (m-1) with
Some (_,C.Decl _) -> true
| Some (_,C.Def (bo,_)) ->
- guarded_by_destructors ~subst context m nn kl x safes
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes
(CicSubstitution.lift m bo)
| None -> raise (TypeCheckerFailure (lazy "Reference to deleted hypothesis"))
)
| C.Sort _
| C.Implicit _ -> true
| C.Cast (te,ty) ->
- guarded_by_destructors ~subst context n nn kl x safes te &&
- guarded_by_destructors ~subst context n nn kl x safes ty
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes te &&
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes ty
| C.Prod (name,so,ta) ->
- guarded_by_destructors ~subst context n nn kl x safes so &&
- guarded_by_destructors ~subst ((Some (name,(C.Decl so)))::context)
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes so &&
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst ((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 ~subst context n nn kl x safes so &&
- guarded_by_destructors ~subst ((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 ~subst context n nn kl x safes so &&
- guarded_by_destructors ~subst ((Some (name,(C.Def (so,None))))::context)
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes so &&
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst ((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,ty,ta) ->
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes so &&
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes ty &&
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst ((Some (name,(C.Def (so,ty))))::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 ~subst context n nn kl x safes param
- ) tl true &&
- check_is_really_smaller_arg ~subst context n nn kl x safes (List.nth tl k)
- | C.Appl tl ->
- List.fold_right
- (fun t i -> i && guarded_by_destructors ~subst context n nn kl x safes t)
- tl true
+ List.for_all
+ (guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes) tl &&
+ check_is_really_smaller_arg
+ rec_uri rec_uri_len
+ ~logger ~metasenv ~subst context n nn kl x safes (List.nth tl k)
| 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 ~subst context n nn kl x safes t)
- exp_named_subst true
+ List.for_all
+ (fun (_,t) -> guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes t)
+ exp_named_subst
| C.MutCase (uri,i,outtype,term,pl) ->
(match CicReduction.whd ~subst context term with
- C.Rel m when List.mem m safes || m = x ->
- let (tys,len,isinductive,paramsno,cl) =
- let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
- match o with
- C.InductiveDefinition (tl,_,paramsno,_) ->
- 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 ~subst tys paramsno ty),
- snd (split_prods ~subst tys paramsno debrujinedty)
- )) cl
- in
- (tys,len,isinductive,paramsno,cl')
- | _ ->
- raise (TypeCheckerFailure
- (lazy ("Unknown mutual inductive definition:" ^
- UriManager.string_of_uri uri)))
+ | C.Rel m
+ | C.Appl ((C.Rel m)::_) as t when List.mem m safes || m = x ->
+ let tl = match t with C.Appl (_::tl) -> tl | _ -> [] in
+ List.for_all
+ (guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes)
+ tl &&
+ let tys,_ =
+ specialize_inductive_type ~logger ~subst ~metasenv context t
in
- if not isinductive then
- guarded_by_destructors ~subst context n nn kl x safes outtype &&
- guarded_by_destructors ~subst 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 ~subst context n nn kl x safes p)
- pl true
- else
- let pl_and_cl =
- try
- List.combine pl cl
- with
- Invalid_argument _ ->
- raise (TypeCheckerFailure (lazy "not enough patterns"))
- in
- guarded_by_destructors ~subst context n nn kl x safes outtype &&
- (*CSC: manca ??? il controllo sul tipo di term? *)
- List.fold_right
- (fun (p,(_,c,brujinedc)) i ->
- let rl' = recursive_args tys 0 len brujinedc in
- let (e,safes',n',nn',x',context') =
- get_new_safes ~subst context p c rl' safes n nn x
- in
- i &&
- guarded_by_destructors ~subst context' n' nn' kl x' safes' e
- ) pl_and_cl true
- | C.Appl ((C.Rel m)::tl) when List.mem m safes || m = x ->
- let (tys,len,isinductive,paramsno,cl) =
- let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
- match o with
- C.InductiveDefinition (tl,_,paramsno,_) ->
- 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) ->
- (id, snd (split_prods ~subst tys paramsno ty))) cl
- in
- (tys,List.length tl,isinductive,paramsno,cl')
- | _ ->
- raise (TypeCheckerFailure
- (lazy ("Unknown mutual inductive definition:" ^
- UriManager.string_of_uri uri)))
+ let tys_ctx,_ =
+ List.fold_left
+ (fun (types,len) (n,_,ty,_) ->
+ Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types,
+ len+1)
+ ([],0) tys
in
+ let _,isinductive,_,cl = List.nth tys i in
if not isinductive then
- guarded_by_destructors ~subst context n nn kl x safes outtype &&
- guarded_by_destructors ~subst 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 ~subst context n nn kl x safes p)
- pl true
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes outtype &&
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes term &&
+ List.for_all
+ (guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes)
+ pl
else
- let pl_and_cl =
- try
- List.combine pl cl
- with
- Invalid_argument _ ->
- raise (TypeCheckerFailure (lazy "not enough patterns"))
- in
- guarded_by_destructors ~subst 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 ~subst context n nn kl x safes t)
- tl true &&
- List.fold_right
- (fun (p,(_,c)) i ->
- let rl' =
- let debrujinedte = debrujin_constructor uri len c in
- recursive_args tys 0 len debrujinedte
- in
- let (e, safes',n',nn',x',context') =
- get_new_safes ~subst context p c rl' safes n nn x
- in
- i &&
- guarded_by_destructors ~subst context' n' nn' kl x' safes' e
- ) pl_and_cl true
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes outtype &&
+ List.for_all2
+ (fun p (_,c) ->
+ let rec_params =
+ let c =
+ debrujin_constructor ~check_exp_named_subst:false
+ rec_uri rec_uri_len context c in
+ let len_ctx = List.length context in
+ recursive_args (context@tys_ctx) len_ctx (len_ctx+rec_uri_len) c
+ in
+ let (e, safes',n',nn',x',context') =
+ get_new_safes ~subst context p rec_params safes n nn x
+ in
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context' n' nn' kl x' safes' e
+ ) pl cl
| _ ->
- guarded_by_destructors ~subst context n nn kl x safes outtype &&
- guarded_by_destructors ~subst context n nn kl x safes term &&
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes outtype &&
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst 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 ~subst context n nn kl x safes p)
+ (fun p i -> i && guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes p)
pl true
)
- | C.Fix (_, fl) ->
+ | C.Appl (C.Fix (fixno, fl)::_) | C.Fix (fixno,fl) as t->
+ let l = match t with C.Appl (_::tl) -> tl | _ -> [] in
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 ~subst context n nn kl x_plus_len safes' ty &&
- guarded_by_destructors ~subst (tys@context) n_plus_len nn_plus_len kl
- x_plus_len safes' bo
- ) fl true
+ let n_plus_len = n + len in
+ let nn_plus_len = nn + len in
+ let x_plus_len = x + len in
+ let tys,_ =
+ List.fold_left
+ (fun (types,len) (n,_,ty,_) ->
+ (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types,
+ len+1)
+ ) ([],0) fl in
+ let safes' = List.map (fun x -> x + len) safes in
+ List.for_all
+ (guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes) l &&
+ snd (List.fold_left
+ (fun (fixno',i) (_,recno,ty,bo) ->
+ fixno'+1,
+ i &&
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x_plus_len safes' ty &&
+ if
+ fixno' = fixno &&
+ List.length l > recno &&
+ (*case where the recursive argument is already really_smaller *)
+ check_is_really_smaller_arg
+ rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes
+ (List.nth l recno)
+ then
+ let bo_without_lambdas,_,context =
+ eat_lambdas ~subst (tys@context) (recno+1) bo
+ in
+ (* we assume the formal argument to be safe *)
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context (n_plus_len+recno+1)
+ (nn_plus_len+recno+1) kl (x_plus_len+recno+1)
+ (1::List.map (fun x -> x+recno+1) safes')
+ bo_without_lambdas
+ else
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst (tys@context) n_plus_len nn_plus_len
+ kl x_plus_len safes' bo
+ ) (0,true) fl)
| 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 tys,_ =
+ List.fold_left
+ (fun (types,len) (n,ty,_) ->
+ (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types,
+ len+1)
+ ) ([],0) fl
and safes' = List.map (fun x -> x + len) safes in
List.fold_right
(fun (_,ty,bo) i ->
i &&
- guarded_by_destructors ~subst context n nn kl x_plus_len safes' ty &&
- guarded_by_destructors ~subst (tys@context) n_plus_len nn_plus_len kl
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x_plus_len safes' ty &&
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst (tys@context) n_plus_len nn_plus_len kl
x_plus_len safes' bo
) fl true
+ | C.Appl tl ->
+ List.fold_right
+ (fun t i -> i && guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes t)
+ tl true
+ in
+ if res then res
+ else
+ let t' = CicReduction.whd ~subst context t in
+ if t = t' then
+ false
+ else
+ guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes t'
(* 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. *)
-and guarded_by_constructors ~subst context n nn h te args coInductiveTypeURI =
+and guarded_by_constructors ~logger ~subst ~metasenv indURI =
let module C = Cic in
- (*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 *)
+ let rec aux context n nn h te =
match CicReduction.whd ~subst context te with
- C.Rel m when m > n && m <= nn -> h
- | C.Rel _ -> true
- | C.Meta _
+ | C.Rel m when m > n && m <= nn -> h
+ | C.Rel _
+ | C.Meta _ -> true
| C.Sort _
| C.Implicit _
| C.Cast _
| C.Prod _
- | C.LetIn _ ->
- (* the term has just been type-checked *)
- raise (AssertFailure (lazy "17"))
+ | C.MutInd _
+ | C.LetIn _ -> raise (AssertFailure (lazy "17"))
| C.Lambda (name,so,de) ->
does_not_occur ~subst context n nn so &&
- guarded_by_constructors ~subst ((Some (name,(C.Decl so)))::context)
- (n + 1) (nn + 1) h de args coInductiveTypeURI
+ aux ((Some (name,(C.Decl so)))::context) (n + 1) (nn + 1) h de
| C.Appl ((C.Rel m)::tl) when m > n && m <= nn ->
- h &&
- List.fold_right (fun x i -> i && does_not_occur ~subst context n nn x) tl true
- | C.Appl ((C.MutConstruct (uri,i,j,exp_named_subst))::tl) ->
- let consty =
- let obj,_ =
- try
- CicEnvironment.get_cooked_obj ~trust:false CicUniv.empty_ugraph uri
- with Not_found -> assert false
- in
- match obj with
- C.InductiveDefinition (itl,_,_,_) ->
- let (_,_,_,cl) = List.nth itl i in
- let (_,cons) = List.nth cl (j - 1) in
- CicSubstitution.subst_vars exp_named_subst cons
- | _ ->
- raise (TypeCheckerFailure
- (lazy ("Unknown mutual inductive definition:" ^ UriManager.string_of_uri uri)))
+ h && List.for_all (does_not_occur ~subst context n nn) tl
+ | C.MutConstruct (_,_,_,exp_named_subst) ->
+ List.for_all
+ (fun (_,x) -> does_not_occur ~subst context n nn x) exp_named_subst
+ | C.Appl ((C.MutConstruct (uri,i,j,exp_named_subst))::tl) as t ->
+ List.for_all
+ (fun (_,x) -> does_not_occur ~subst context n nn x) exp_named_subst &&
+ let consty, len_tys, tys_ctx, paramsno =
+ let tys, paramsno =
+ specialize_inductive_type ~logger ~subst ~metasenv context t in
+ let _,_,_,cl = List.nth tys i in
+ let _,ty = List.nth cl (j-1) in
+ ty, List.length tys,
+ fst(List.fold_left
+ (fun (types,len) (n,_,ty,_) ->
+ Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types, len+1)
+ ([],0) tys), paramsno
in
- let rec analyse_branch context ty te =
- match CicReduction.whd ~subst context ty with
- C.Meta _ -> raise (AssertFailure (lazy "34"))
- | C.Rel _
- | C.Var _
- | C.Sort _ ->
- does_not_occur ~subst context n nn te
- | C.Implicit _
- | C.Cast _ ->
- raise (AssertFailure (lazy "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 (lazy "25"))(* due to type-checking *)
- | C.Appl ((C.MutInd (uri,_,_))::_) when uri == coInductiveTypeURI ->
- guarded_by_constructors ~subst context n nn true te []
- coInductiveTypeURI
- | C.Appl ((C.MutInd (uri,_,_))::_) ->
- guarded_by_constructors ~subst context n nn true te tl
- coInductiveTypeURI
- | C.Appl _ ->
- does_not_occur ~subst context n nn te
- | C.Const _ -> raise (AssertFailure (lazy "26"))
- | C.MutInd (uri,_,_) when uri == coInductiveTypeURI ->
- guarded_by_constructors ~subst context n nn true te []
- coInductiveTypeURI
- | C.MutInd _ ->
- does_not_occur ~subst context n nn te
- | C.MutConstruct _ -> raise (AssertFailure (lazy "27"))
- (*CSC: we do not consider backbones with a MutCase, Fix, Cofix *)
- (*CSC: in head position. *)
- | C.MutCase _
- | C.Fix _
- | C.CoFix _ ->
- raise (AssertFailure (lazy "28"))(* due to type-checking *)
- in
- let rec analyse_instantiated_type context ty l =
- match CicReduction.whd ~subst context ty with
- C.Rel _
- | C.Var _
- | C.Meta _
- | C.Sort _
- | C.Implicit _
- | C.Cast _ -> raise (AssertFailure (lazy "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 (lazy "30"))(* due to type-checking *)
- | C.Appl _ ->
- List.fold_left
- (fun i x -> i && does_not_occur ~subst context n nn x) true l
- | C.Const _ -> raise (AssertFailure (lazy "31"))
- | C.MutInd _ ->
- List.fold_left
- (fun i x -> i && does_not_occur ~subst context n nn x) true l
- | C.MutConstruct _ -> raise (AssertFailure (lazy "32"))
- (*CSC: we do not consider backbones with a MutCase, Fix, Cofix *)
- (*CSC: in head position. *)
- | C.MutCase _
- | C.Fix _
- | C.CoFix _ ->
- raise (AssertFailure (lazy "33"))(* due to type-checking *)
- in
- let rec instantiate_type args consty =
- function
- [] -> true
- | tlhe::tltl as l ->
- let consty' = CicReduction.whd ~subst 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 ~subst 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 (lazy "23"))
- end
- | [] -> analyse_instantiated_type context consty' l
- (* These are all the other cases *)
+ let rec_params =
+ let c =
+ debrujin_constructor ~check_exp_named_subst:false
+ indURI len_tys context consty
in
- instantiate_type args consty tl
- | C.Appl ((C.CoFix (_,fl))::tl) ->
- List.fold_left (fun i x -> i && does_not_occur ~subst 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 ~subst context n nn ty &&
- guarded_by_constructors ~subst (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 ~subst context n nn x) true tl &&
- does_not_occur ~subst context n nn out &&
- does_not_occur ~subst context n nn te &&
- List.fold_right
- (fun x i ->
- i &&
- guarded_by_constructors ~subst context n nn h x args
- coInductiveTypeURI
- ) pl true
- | C.Appl l ->
- List.fold_right (fun x i -> i && does_not_occur ~subst 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 ~subst 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 ~subst context n nn x) exp_named_subst true
- | C.MutCase (_,_,out,te,pl) ->
+ let len_ctx = List.length context in
+ recursive_args (context@tys_ctx) len_ctx (len_ctx+len_tys) c
+ in
+ let rec analyse_instantiated_type rec_spec args =
+ match rec_spec, args with
+ | h::rec_spec, he::args ->
+ aux context n nn h he &&
+ analyse_instantiated_type rec_spec args
+ | _,[] -> true
+ | _ -> raise (AssertFailure (lazy
+ ("Too many args for constructor: " ^ String.concat " "
+ (List.map (fun x-> CicPp.ppterm x) args))))
+ in
+ let left, args = HExtlib.split_nth paramsno tl in
+ List.for_all (does_not_occur ~subst context n nn) left &&
+ analyse_instantiated_type rec_params args
+ | C.Appl ((C.MutCase (_,_,out,te,pl))::_)
+ | C.MutCase (_,_,out,te,pl) as t ->
+ let tl = match t with C.Appl (_::tl) -> tl | _ -> [] in
+ List.for_all (does_not_occur ~subst context n nn) tl &&
does_not_occur ~subst context n nn out &&
- does_not_occur ~subst context n nn te &&
- List.fold_right
- (fun x i ->
- i &&
- guarded_by_constructors ~subst context n nn h x args
- coInductiveTypeURI
- ) pl true
- | C.Fix (_,fl) ->
+ does_not_occur ~subst context n nn te &&
+ List.for_all (aux context n nn h ) pl
+ | C.Fix (_,fl)
+ | C.Appl (C.Fix (_,fl)::_) as t ->
+ let tl = match t with C.Appl (_::tl) -> tl | _ -> [] in
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 ~subst context n nn ty &&
- does_not_occur ~subst (tys@context) n_plus_len nn_plus_len bo
- ) fl true
- | C.CoFix (_,fl) ->
- let len = List.length fl in
+ and tys,_ =
+ List.fold_left
+ (fun (types,len) (n,_,ty,_) ->
+ (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types,
+ len+1)
+ ) ([],0) fl
+ in
+ List.for_all (does_not_occur ~subst context n nn) tl &&
+ List.for_all
+ (fun (_,_,ty,bo) ->
+ does_not_occur ~subst context n nn ty &&
+ aux (tys@context) n_plus_len nn_plus_len h bo)
+ fl
+ | C.Appl ((C.CoFix (_,fl))::_)
+ | C.CoFix (_,fl) as t ->
+ let tl = match t with C.Appl (_::tl) -> tl | _ -> [] in
+ 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 ~subst context n nn ty &&
- guarded_by_constructors ~subst (tys@context) n_plus_len nn_plus_len
- h bo
- args coInductiveTypeURI
- ) fl true
+ and tys,_ =
+ List.fold_left
+ (fun (types,len) (n,ty,_) ->
+ (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types,
+ len+1)
+ ) ([],0) fl
+ in
+ List.for_all (does_not_occur ~subst context n nn) tl &&
+ List.for_all
+ (fun (_,ty,bo) ->
+ does_not_occur ~subst context n nn ty &&
+ aux (tys@context) n_plus_len nn_plus_len h bo)
+ fl
+ | C.Var _
+ | C.Const _
+ | C.Appl _ as t -> does_not_occur ~subst context n nn t
+ in
+ aux
+
+and is_non_recursive ctx paramsno t uri =
+ let t = debrujin_constructor uri 1 [] t in
+(* let ctx, t = split_prods ~subst:[] ctx paramsno t in *)
+ let len = List.length ctx in
+ let rec aux ctx n nn t =
+ match CicReduction.whd ctx t with
+ | Cic.Prod (name,src,tgt) ->
+ does_not_occur ctx n nn src &&
+ aux (Some (name,Cic.Decl src) :: ctx) (n+1) (nn+1) tgt
+ | (Cic.Rel k)
+ | Cic.Appl (Cic.Rel k :: _) when k = nn -> true
+ | t -> assert false
+ in
+ aux ctx (len-1) len t
and check_allowed_sort_elimination ~subst ~metasenv ~logger context uri i
need_dummy ind arity1 arity2 ugraph =
let arity1 = CicReduction.whd ~subst context arity1 in
let rec check_allowed_sort_elimination_aux ugraph context arity2 need_dummy =
match arity1, CicReduction.whd ~subst context arity2 with
- (C.Prod (_,so1,de1), C.Prod (_,so2,de2)) ->
+ (C.Prod (name,so1,de1), C.Prod (_,so2,de2)) ->
let b,ugraph1 =
CicReduction.are_convertible ~subst ~metasenv context so1 so2 ugraph in
if b then
- check_allowed_sort_elimination ~subst ~metasenv ~logger context uri i
+ check_allowed_sort_elimination ~subst ~metasenv ~logger
+ ((Some (name,C.Decl so1))::context) uri i
need_dummy (C.Appl [CicSubstitution.lift 1 ind ; C.Rel 1]) de1 de2
ugraph1
else
- false,ugraph1
+ false,ugraph1
| (C.Sort _, C.Prod (name,so,ta)) when not need_dummy ->
let b,ugraph1 =
CicReduction.are_convertible ~subst ~metasenv context so ind ugraph in
if not b then
- false,ugraph1
+ false,ugraph1
else
check_allowed_sort_elimination_aux ugraph1
((Some (name,C.Decl so))::context) ta true
| (C.Sort C.Prop, C.Sort C.Prop) when need_dummy -> true,ugraph
| (C.Sort C.Prop, C.Sort C.Set)
- | (C.Sort C.Prop, C.Sort C.CProp)
+ | (C.Sort C.Prop, C.Sort (C.CProp _))
| (C.Sort C.Prop, C.Sort (C.Type _) ) when need_dummy ->
(let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
- match o with
+ match o with
C.InductiveDefinition (itl,_,paramsno,_) ->
let itl_len = List.length itl in
let (name,_,ty,cl) = List.nth itl i in
let non_informative,ugraph =
if cl_len = 0 then true,ugraph
else
- is_non_informative ~logger [Some (C.Name name,C.Decl ty)]
- paramsno (snd (List.nth cl 0)) ugraph
+ let b, ug =
+ is_non_informative ~logger [Some (C.Name name,C.Decl ty)]
+ paramsno (snd (List.nth cl 0)) ugraph
+ in
+ b &&
+ is_non_recursive [Some (C.Name name,C.Decl ty)]
+ paramsno (snd (List.nth cl 0)) uri, ug
in
(* is it a singleton or empty non recursive and non informative
definition? *)
false,ugraph
| _ ->
raise (TypeCheckerFailure
- (lazy ("Unknown mutual inductive definition:" ^
- UriManager.string_of_uri uri)))
+ (lazy ("Unknown mutual inductive definition:" ^
+ UriManager.string_of_uri uri)))
)
| (C.Sort C.Set, C.Sort C.Prop) when need_dummy -> true , ugraph
- | (C.Sort C.CProp, C.Sort C.Prop) when need_dummy -> true , ugraph
| (C.Sort C.Set, C.Sort C.Set) when need_dummy -> true , ugraph
- | (C.Sort C.Set, C.Sort C.CProp) when need_dummy -> true , ugraph
- | (C.Sort C.CProp, C.Sort C.Set) when need_dummy -> true , ugraph
- | (C.Sort C.CProp, C.Sort C.CProp) when need_dummy -> true , ugraph
- | ((C.Sort C.Set, C.Sort (C.Type _)) | (C.Sort C.CProp, C.Sort (C.Type _)))
+ | (C.Sort C.Set, C.Sort (C.Type _))
+ | (C.Sort C.Set, C.Sort (C.CProp _))
when need_dummy ->
(let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
- match o with
+ match o with
C.InductiveDefinition (itl,_,paramsno,_) ->
let tys =
List.map (fun (n,_,ty,_) -> Some (Cic.Name n,(Cic.Decl ty))) itl
let (_,_,_,cl) = List.nth itl i in
(List.fold_right
(fun (_,x) (i,ugraph) ->
- if i then
- is_small ~logger tys paramsno x ugraph
- else
- false,ugraph
- ) cl (true,ugraph))
+ if i then
+ is_small ~logger tys paramsno x ugraph
+ else
+ false,ugraph
+ ) cl (true,ugraph))
| _ ->
raise (TypeCheckerFailure
(lazy ("Unknown mutual inductive definition:" ^
UriManager.string_of_uri uri)))
)
| (C.Sort (C.Type _), C.Sort _) when need_dummy -> true , ugraph
+ | (C.Sort (C.CProp _), C.Sort _) when need_dummy -> true , ugraph
| (_,_) -> false,ugraph
in
check_allowed_sort_elimination_aux ugraph context arity2 need_dummy
-
+
and type_of_branch ~subst context argsno need_dummy outtype term constype =
let module C = Cic in
let module R = CicReduction in
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 ~subst
+ C.Prod (name,so,type_of_branch ~subst
((Some (name,(C.Decl so)))::context) argsno need_dummy
(CicSubstitution.lift 1 outtype) term' de)
- | _ -> raise (AssertFailure (lazy "20"))
+ | _ -> raise (AssertFailure (lazy "20"))
(* check_metasenv_consistency checks that the "canonical" context of a
metavariable is consitent - up to relocation via the relocation list l -
[] -> []
| (Some (n,C.Decl t))::tl ->
(Some (n,C.Decl (S.subst_meta l (S.lift i t))))::(aux (i+1) tl)
- | (Some (n,C.Def (t,None)))::tl ->
- (Some (n,C.Def ((S.subst_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.subst_meta l (S.lift i t)),Some (S.subst_meta l (S.lift i ty)))))::(aux (i+1) tl)
+ | (Some (n,C.Def (t,ty)))::tl ->
+ (Some (n,C.Def ((S.subst_meta l (S.lift i t)),S.subst_meta l (S.lift i ty))))::(aux (i+1) tl)
in
aux 1 canonical_context
in
match (t,ct) with
| _,None -> ugraph
| Some t,Some (_,C.Def (ct,_)) ->
- let b,ugraph1 =
- R.are_convertible ~subst ~metasenv context t ct ugraph
- in
- if not b then
- raise
- (TypeCheckerFailure
- (lazy (sprintf "Not well typed metavariable local context: expected a term convertible with %s, found %s" (CicPp.ppterm ct) (CicPp.ppterm t))))
- else
- ugraph1
+ (*CSC: the following optimization is to avoid a possibly expensive
+ reduction that can be easily avoided and that is quite
+ frequent. However, this is better handled using levels to
+ control reduction *)
+ let optimized_t =
+ match t with
+ Cic.Rel n ->
+ (try
+ match List.nth context (n - 1) with
+ Some (_,C.Def (te,_)) -> S.lift n te
+ | _ -> t
+ with
+ Failure _ -> t)
+ | _ -> t
+ in
+(*if t <> optimized_t && optimized_t = ct then prerr_endline "!!!!!!!!!!!!!!!"
+else if t <> optimized_t then prerr_endline ("@@ " ^ CicPp.ppterm t ^ " ==> " ^ CicPp.ppterm optimized_t ^ " <==> " ^ CicPp.ppterm ct);*)
+ let b,ugraph1 =
+ R.are_convertible ~subst ~metasenv context optimized_t ct ugraph
+ in
+ if not b then
+ raise
+ (TypeCheckerFailure
+ (lazy (sprintf "Not well typed metavariable local context: expected a term convertible with %s, found %s" (CicPp.ppterm ct) (CicPp.ppterm t))))
+ else
+ ugraph1
| Some t,Some (_,C.Decl ct) ->
let type_t,ugraph1 =
- type_of_aux' ~logger ~subst metasenv context t ugraph
- in
- let b,ugraph2 =
- R.are_convertible ~subst ~metasenv context type_t ct ugraph1
- in
+ type_of_aux' ~logger ~subst metasenv context t ugraph
+ in
+ let b,ugraph2 =
+ R.are_convertible ~subst ~metasenv context type_t ct ugraph1
+ in
if not b then
raise (TypeCheckerFailure
- (lazy (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))))
- else
- ugraph2
+ (lazy (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))))
+ else
+ ugraph2
| None, _ ->
raise (TypeCheckerFailure
- (lazy ("Not well typed metavariable local context: "^
- "an hypothesis, that is not hidden, is not instantiated")))
+ (lazy ("Not well typed metavariable local context: "^
+ "an hypothesis, that is not hidden, is not instantiated")))
) ugraph l lifted_canonical_context
let module R = CicReduction in
let module S = CicSubstitution in
let module U = UriManager in
+(* FG: DEBUG ONLY
+ prerr_endline ("TC: context:\n" ^ CicPp.ppcontext ~metasenv context);
+ prerr_endline ("TC: term :\n" ^ CicPp.ppterm ~metasenv t ^ "\n");
+*)
match t with
C.Rel n ->
(try
match List.nth context (n - 1) with
Some (_,C.Decl t) -> S.lift n t,ugraph
- | Some (_,C.Def (_,Some ty)) -> S.lift n ty,ugraph
- | Some (_,C.Def (bo,None)) ->
- debug_print (lazy "##### CASO DA INVESTIGARE E CAPIRE") ;
- type_of_aux ~logger context (S.lift n bo) ugraph
+ | Some (_,C.Def (_,ty)) -> S.lift n ty,ugraph
| None -> raise
- (TypeCheckerFailure (lazy "Reference to deleted hypothesis"))
+ (TypeCheckerFailure (lazy "Reference to deleted hypothesis"))
with
Failure _ ->
raise (TypeCheckerFailure (lazy "unbound variable"))
)
| C.Var (uri,exp_named_subst) ->
incr fdebug ;
- let ugraph1 =
- check_exp_named_subst ~logger ~subst context exp_named_subst ugraph
- in
- let ty,ugraph2 = type_of_variable ~logger uri ugraph1 in
- let ty1 = CicSubstitution.subst_vars exp_named_subst ty in
- decr fdebug ;
- ty1,ugraph2
+ let ugraph1 =
+ check_exp_named_subst uri ~logger ~subst context exp_named_subst ugraph
+ in
+ let ty,ugraph2 = type_of_variable ~logger uri ugraph1 in
+ let ty1 = CicSubstitution.subst_vars exp_named_subst ty in
+ decr fdebug ;
+ ty1,ugraph2
| C.Meta (n,l) ->
(try
let (canonical_context,term,ty) = CicUtil.lookup_subst n subst in
let ugraph1 =
- check_metasenv_consistency ~logger
- ~subst metasenv context canonical_context l ugraph
- in
+ check_metasenv_consistency ~logger
+ ~subst metasenv context canonical_context l ugraph
+ in
(* assuming subst is well typed !!!!! *)
((CicSubstitution.subst_meta l ty), ugraph1)
(* type_of_aux context (CicSubstitution.subst_meta l term) *)
- with CicUtil.Subst_not_found _ ->
- let (_,canonical_context,ty) = CicUtil.lookup_meta n metasenv in
+ with CicUtil.Subst_not_found _ ->
+ let (_,canonical_context,ty) = CicUtil.lookup_meta n metasenv in
let ugraph1 =
- check_metasenv_consistency ~logger
- ~subst metasenv context canonical_context l ugraph
- in
+ check_metasenv_consistency ~logger
+ ~subst metasenv context canonical_context l ugraph
+ in
((CicSubstitution.subst_meta l ty),ugraph1))
(* TASSI: CONSTRAINTS *)
+ | C.Sort (C.CProp t) ->
+ let t' = CicUniv.fresh() in
+ (try
+ let ugraph1 = CicUniv.add_gt t' t ugraph in
+ (C.Sort (C.Type t')),ugraph1
+ with
+ CicUniv.UniverseInconsistency msg -> raise (TypeCheckerFailure msg))
| C.Sort (C.Type t) ->
let t' = CicUniv.fresh() in
- let ugraph1 = CicUniv.add_gt t' t ugraph in
- (C.Sort (C.Type t')),ugraph1
- (* TASSI: CONSTRAINTS *)
- | C.Sort s -> (C.Sort (C.Type (CicUniv.fresh ()))),ugraph
- | C.Implicit _ -> raise (AssertFailure (lazy "21"))
+ (try
+ let ugraph1 = CicUniv.add_gt t' t ugraph in
+ (C.Sort (C.Type t')),ugraph1
+ with
+ CicUniv.UniverseInconsistency msg -> raise (TypeCheckerFailure msg))
+ | C.Sort (C.Prop|C.Set) -> (C.Sort (C.Type (CicUniv.fresh ()))),ugraph
+ | C.Implicit _ -> raise (AssertFailure (lazy "Implicit found"))
| C.Cast (te,ty) as t ->
let _,ugraph1 = type_of_aux ~logger context ty ugraph in
let ty_te,ugraph2 = type_of_aux ~logger context te ugraph1 in
let b,ugraph3 =
- R.are_convertible ~subst ~metasenv context ty_te ty ugraph2
+ R.are_convertible ~subst ~metasenv context ty_te ty ugraph2
in
- if b then
+ if b then
ty,ugraph3
- else
+ else
raise (TypeCheckerFailure
- (lazy (sprintf "Invalid cast %s" (CicPp.ppterm t))))
+ (lazy (sprintf "Invalid cast %s" (CicPp.ppterm t))))
| C.Prod (name,s,t) ->
let sort1,ugraph1 = type_of_aux ~logger context s ugraph in
let sort2,ugraph2 =
- type_of_aux ~logger ((Some (name,(C.Decl s)))::context) t ugraph1
+ type_of_aux ~logger ((Some (name,(C.Decl s)))::context) t ugraph1
in
sort_of_prod ~subst context (name,s) (sort1,sort2) ugraph2
| C.Lambda (n,s,t) ->
(CicPp.ppterm sort1))))
) ;
let type2,ugraph2 =
- type_of_aux ~logger ((Some (n,(C.Decl s)))::context) t ugraph1
+ type_of_aux ~logger ((Some (n,(C.Decl s)))::context) t ugraph1
in
- (C.Prod (n,s,type2)),ugraph2
- | C.LetIn (n,s,t) ->
+ (C.Prod (n,s,type2)),ugraph2
+ | C.LetIn (n,s,ty,t) ->
(* only to check if s is well-typed *)
- let ty,ugraph1 = type_of_aux ~logger context s ugraph in
+ let ty',ugraph1 = type_of_aux ~logger context s ugraph in
+ let _,ugraph1 = type_of_aux ~logger context ty ugraph1 in
+ let b,ugraph1 =
+ R.are_convertible ~subst ~metasenv context ty' ty ugraph1
+ in
+ if not b then
+ raise
+ (TypeCheckerFailure
+ (lazy (sprintf
+ "The type of %s is %s but it is expected to be %s"
+ (CicPp.ppterm s) (CicPp.ppterm ty') (CicPp.ppterm ty))))
+ else
(* 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))
(* One-step LetIn reduction. Even faster than the previous solution.
Moreover the inferred type is closer to the expected one. *)
let ty1,ugraph2 =
- type_of_aux ~logger
- ((Some (n,(C.Def (s,Some ty))))::context) t ugraph1
+ type_of_aux ~logger
+ ((Some (n,(C.Def (s,ty))))::context) t ugraph1
in
- (CicSubstitution.subst s ty1),ugraph2
+ (CicSubstitution.subst ~avoid_beta_redexes:true s ty1),ugraph2
| C.Appl (he::tl) when List.length tl > 0 ->
let hetype,ugraph1 = type_of_aux ~logger context he ugraph in
let tlbody_and_type,ugraph2 =
- List.fold_right (
- fun x (l,ugraph) ->
- let ty,ugraph1 = type_of_aux ~logger context x ugraph in
- let _,ugraph1 = type_of_aux ~logger context ty ugraph1 in
- ((x,ty)::l,ugraph1))
- tl ([],ugraph1)
+ List.fold_right (
+ fun x (l,ugraph) ->
+ let ty,ugraph1 = type_of_aux ~logger context x ugraph in
+ (*let _,ugraph1 = type_of_aux ~logger context ty ugraph1 in*)
+ ((x,ty)::l,ugraph1))
+ tl ([],ugraph1)
in
- (* TASSI: questa c'era nel mio... ma non nel CVS... *)
- (* let _,ugraph2 = type_of_aux context hetype ugraph2 in *)
- eat_prods ~subst context hetype tlbody_and_type ugraph2
+ (* TASSI: questa c'era nel mio... ma non nel CVS... *)
+ (* let _,ugraph2 = type_of_aux context hetype ugraph2 in *)
+ eat_prods ~subst context hetype tlbody_and_type ugraph2
| C.Appl _ -> raise (AssertFailure (lazy "Appl: no arguments"))
| C.Const (uri,exp_named_subst) ->
incr fdebug ;
let ugraph1 =
- check_exp_named_subst ~logger ~subst context exp_named_subst ugraph
+ check_exp_named_subst uri ~logger ~subst context exp_named_subst ugraph
in
let cty,ugraph2 = type_of_constant ~logger uri ugraph1 in
let cty1 =
- CicSubstitution.subst_vars exp_named_subst cty
+ CicSubstitution.subst_vars exp_named_subst cty
in
- decr fdebug ;
- cty1,ugraph2
+ decr fdebug ;
+ cty1,ugraph2
| C.MutInd (uri,i,exp_named_subst) ->
incr fdebug ;
let ugraph1 =
- check_exp_named_subst ~logger ~subst context exp_named_subst ugraph
+ check_exp_named_subst uri ~logger ~subst context exp_named_subst ugraph
in
- (* TASSI: da me c'era anche questa, ma in CVS no *)
let mty,ugraph2 = type_of_mutual_inductive_defs ~logger uri i ugraph1 in
- (* fine parte dubbia *)
let cty =
- CicSubstitution.subst_vars exp_named_subst mty
+ CicSubstitution.subst_vars exp_named_subst mty
in
- decr fdebug ;
- cty,ugraph2
+ decr fdebug ;
+ cty,ugraph2
| C.MutConstruct (uri,i,j,exp_named_subst) ->
let ugraph1 =
- check_exp_named_subst ~logger ~subst context exp_named_subst ugraph
+ check_exp_named_subst uri ~logger ~subst context exp_named_subst ugraph
in
- (* TASSI: idem come sopra *)
let mty,ugraph2 =
- type_of_mutual_inductive_constr ~logger uri i j ugraph1
+ type_of_mutual_inductive_constr ~logger uri i j ugraph1
in
let cty =
- CicSubstitution.subst_vars exp_named_subst mty
+ CicSubstitution.subst_vars exp_named_subst mty
in
- cty,ugraph2
+ cty,ugraph2
| C.MutCase (uri,i,outtype,term,pl) ->
let outsort,ugraph1 = type_of_aux ~logger context outtype ugraph in
let (need_dummy, k) =
match outtype with
C.Sort _ -> (true, 0)
| 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 ~subst context s with
+ let (b, n) =
+ guess_args ((Some (name,(C.Decl s)))::context) t in
+ if n = 0 then
+ (* last prod before sort *)
+ match CicReduction.whd ~subst 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)
+ 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)
+ | C.Appl ((C.MutInd (uri',i',_)) :: _)
+ when U.eq uri' uri && i' = i -> (false, 1)
+ | _ -> (true, 1)
+ else
+ (b, n + 1)
| _ ->
- raise
- (TypeCheckerFailure
- (lazy (sprintf
- "Malformed case analasys' output type %s"
- (CicPp.ppterm outtype))))
+ raise
+ (TypeCheckerFailure
+ (lazy (sprintf
+ "Malformed case analasys' output type %s"
+ (CicPp.ppterm outtype))))
in
(*
let (parameters, arguments, exp_named_subst),ugraph2 =
- let ty,ugraph2 = type_of_aux context term ugraph1 in
+ let ty,ugraph2 = type_of_aux context term ugraph1 in
match R.whd ~subst context ty with
(*CSC manca il caso dei CAST *)
(*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),ugraph2
- else
- raise
- (TypeCheckerFailure
- (lazy (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)))
+ if U.eq uri uri' && i = i' then
+ ([],[],exp_named_subst),ugraph2
+ else
+ raise
+ (TypeCheckerFailure
+ (lazy (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),ugraph2
- else
- raise
- (TypeCheckerFailure
- (lazy (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.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),ugraph2
+ else
+ raise
+ (TypeCheckerFailure
+ (lazy (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
- (lazy (sprintf
- ("Case analysis: "^
- "analysed term %s is not an inductive one")
- (CicPp.ppterm term))))
+ raise
+ (TypeCheckerFailure
+ (lazy (sprintf
+ ("Case analysis: "^
+ "analysed term %s is not an inductive one")
+ (CicPp.ppterm term))))
*)
let (b, k) = guess_args context outsort in
- if not b then (b, k - 1) else (b, k) in
+ if not b then (b, k - 1) else (b, k) in
let (parameters, arguments, exp_named_subst),ugraph2 =
- let ty,ugraph2 = type_of_aux ~logger context term ugraph1 in
+ let ty,ugraph2 = type_of_aux ~logger context term ugraph1 in
match R.whd ~subst context ty with
C.MutInd (uri',i',exp_named_subst) as typ ->
if U.eq uri uri' && i = i' then
- ([],[],exp_named_subst),ugraph2
+ ([],[],exp_named_subst),ugraph2
else raise
- (TypeCheckerFailure
- (lazy (sprintf
- ("Case analysys: analysed term type is %s (%s#1/%d{_}), but is expected to be (an application of) %s#1/%d{_}")
- (CicPp.ppterm typ) (U.string_of_uri uri') i' (U.string_of_uri uri) i)))
+ (TypeCheckerFailure
+ (lazy (sprintf
+ ("Case analysys: analysed term type is %s (%s#1/%d{_}), but is expected to be (an application of) %s#1/%d{_}")
+ (CicPp.ppterm typ) (U.string_of_uri uri') i' (U.string_of_uri uri) i)))
| C.Appl ((C.MutInd (uri',i',exp_named_subst) as typ):: tl) ->
if U.eq uri uri' && i = i' then
- let params,args =
- split tl (List.length tl - k)
- in (params,args,exp_named_subst),ugraph2
+ let params,args =
+ split tl (List.length tl - k)
+ in (params,args,exp_named_subst),ugraph2
else raise
- (TypeCheckerFailure
- (lazy (sprintf
- ("Case analysys: analysed term type is %s (%s#1/%d{_}), but is expected to be (an application of) %s#1/%d{_}")
- (CicPp.ppterm typ) (U.string_of_uri uri') i' (U.string_of_uri uri) i)))
+ (TypeCheckerFailure
+ (lazy (sprintf
+ ("Case analysys: analysed term type is %s (%s#1/%d{_}), but is expected to be (an application of) %s#1/%d{_}")
+ (CicPp.ppterm typ) (U.string_of_uri uri') i' (U.string_of_uri uri) i)))
| _ ->
raise
- (TypeCheckerFailure
- (lazy (sprintf
- "Case analysis: analysed term %s is not an inductive one"
+ (TypeCheckerFailure
+ (lazy (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's control if the sort elimination is allowed:
+ [(I q1 ... qr)|B]
+ *)
let sort_of_ind_type =
if parameters = [] then
C.MutInd (uri,i,exp_named_subst)
C.Appl ((C.MutInd (uri,i,exp_named_subst))::parameters)
in
let type_of_sort_of_ind_ty,ugraph3 =
- type_of_aux ~logger context sort_of_ind_type ugraph2 in
+ type_of_aux ~logger context sort_of_ind_type ugraph2 in
let b,ugraph4 =
- check_allowed_sort_elimination ~subst ~metasenv ~logger context uri i
+ check_allowed_sort_elimination ~subst ~metasenv ~logger context uri i
need_dummy sort_of_ind_type type_of_sort_of_ind_ty outsort ugraph3
in
- if not b then
+ if not b then
raise
- (TypeCheckerFailure (lazy ("Case analasys: sort elimination not allowed")));
+ (TypeCheckerFailure (lazy ("Case analysis: sort elimination not allowed")));
(* let's check if the type of branches are right *)
- let parsno =
+ let parsno,constructorsno =
let obj,_ =
try
CicEnvironment.get_cooked_obj ~trust:false CicUniv.empty_ugraph uri
with Not_found -> assert false
in
match obj with
- C.InductiveDefinition (_,_,parsno,_) -> parsno
+ C.InductiveDefinition (il,_,parsno,_) ->
+ let _,_,_,cl =
+ try List.nth il i with Failure _ -> assert false
+ in
+ parsno, List.length cl
| _ ->
raise (TypeCheckerFailure
(lazy ("Unknown mutual inductive definition:" ^
UriManager.string_of_uri uri)))
- in
+ in
+ if List.length pl <> constructorsno then
+ raise (TypeCheckerFailure
+ (lazy ("Wrong number of cases in case analysis"))) ;
let (_,branches_ok,ugraph5) =
List.fold_left
(fun (j,b,ugraph) p ->
- if b then
+ if b then
let cons =
- if parameters = [] then
- (C.MutConstruct (uri,i,j,exp_named_subst))
- else
- (C.Appl
- (C.MutConstruct (uri,i,j,exp_named_subst)::parameters))
+ if parameters = [] then
+ (C.MutConstruct (uri,i,j,exp_named_subst))
+ else
+ (C.Appl
+ (C.MutConstruct (uri,i,j,exp_named_subst)::parameters))
in
- let ty_p,ugraph1 = type_of_aux ~logger context p ugraph in
- let ty_cons,ugraph3 = type_of_aux ~logger context cons ugraph1 in
- (* 2 is skipped *)
- let ty_branch =
- type_of_branch ~subst context parsno need_dummy outtype cons
- ty_cons in
- let b1,ugraph4 =
- R.are_convertible
- ~subst ~metasenv context ty_p ty_branch ugraph3
- in
- if not b1 then
- debug_print (lazy
- ("#### " ^ CicPp.ppterm ty_p ^
- " <==> " ^ CicPp.ppterm ty_branch));
- (j + 1,b1,ugraph4)
- else
- (j,false,ugraph)
+ let ty_p,ugraph1 = type_of_aux ~logger context p ugraph in
+ let ty_cons,ugraph3 = type_of_aux ~logger context cons ugraph1 in
+ (* 2 is skipped *)
+ let ty_branch =
+ type_of_branch ~subst context parsno need_dummy outtype cons
+ ty_cons in
+ let b1,ugraph4 =
+ R.are_convertible
+ ~subst ~metasenv context ty_p ty_branch ugraph3
+ in
+(* Debugging code
+if not b1 then
+begin
+prerr_endline ("\n!OUTTYPE= " ^ CicPp.ppterm outtype);
+prerr_endline ("!CONS= " ^ CicPp.ppterm cons);
+prerr_endline ("!TY_CONS= " ^ CicPp.ppterm ty_cons);
+prerr_endline ("#### " ^ CicPp.ppterm ty_p ^ "\n<==>\n" ^ CicPp.ppterm ty_branch);
+end;
+*)
+ if not b1 then
+ debug_print (lazy
+ ("#### " ^ CicPp.ppterm ty_p ^
+ " <==> " ^ CicPp.ppterm ty_branch));
+ (j + 1,b1,ugraph4)
+ else
+ (j,false,ugraph)
) (1,true,ugraph4) pl
in
if not branches_ok then
in
outtype,ugraph5
| C.Fix (i,fl) ->
- let types_times_kl,ugraph1 =
- (* WAS: list rev list map *)
+ let types,kl,ugraph1,len =
List.fold_left
- (fun (l,ugraph) (n,k,ty,_) ->
+ (fun (types,kl,ugraph,len) (n,k,ty,_) ->
let _,ugraph1 = type_of_aux ~logger context ty ugraph in
- ((Some (C.Name n,(C.Decl ty)),k)::l,ugraph1)
- ) ([],ugraph) fl
+ (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types,
+ k::kl,ugraph1,len+1)
+ ) ([],[],ugraph,0) fl
in
- let (types,kl) = List.split types_times_kl in
- let len = List.length types in
let ugraph2 =
- List.fold_left
+ List.fold_left
(fun ugraph (name,x,ty,bo) ->
- let ty_bo,ugraph1 =
- type_of_aux ~logger (types@context) bo ugraph
- in
- let b,ugraph2 =
- R.are_convertible ~subst ~metasenv (types@context)
- ty_bo (CicSubstitution.lift len ty) ugraph1 in
- if b then
- begin
- let (m, eaten, context') =
- eat_lambdas ~subst (types @ context) (x + 1) bo
- in
- (*
- let's control the guarded by
- destructors conditions D{f,k,x,M}
- *)
- if not (guarded_by_destructors ~subst context' eaten
- (len + eaten) kl 1 [] m) then
- raise
- (TypeCheckerFailure
- (lazy ("Fix: not guarded by destructors")))
- else
- ugraph2
- end
+ let ty_bo,ugraph1 =
+ type_of_aux ~logger (types@context) bo ugraph
+ in
+ let b,ugraph2 =
+ R.are_convertible ~subst ~metasenv (types@context)
+ ty_bo (CicSubstitution.lift len ty) ugraph1 in
+ if b then
+ begin
+ let (m, eaten, context') =
+ eat_lambdas ~subst (types @ context) (x + 1) bo
+ in
+ let rec_uri, rec_uri_len =
+ let he =
+ match List.hd context' with
+ Some (_,Cic.Decl he) -> he
+ | _ -> assert false
+ in
+ match CicReduction.whd ~subst (List.tl context') he with
+ | Cic.MutInd (uri,_,_)
+ | Cic.Appl (Cic.MutInd (uri,_,_)::_) ->
+ uri,
+ (match
+ CicEnvironment.get_obj
+ CicUniv.oblivion_ugraph uri
+ with
+ | Cic.InductiveDefinition (tl,_,_,_), _ ->
+ List.length tl
+ | _ -> assert false)
+ | _ -> assert false
+ in
+ (*
+ let's control the guarded by
+ destructors conditions D{f,k,x,M}
+ *)
+ if not (guarded_by_destructors ~logger ~metasenv ~subst
+ rec_uri rec_uri_len context' eaten (len + eaten) kl
+ 1 [] m)
+ then
+ raise
+ (TypeCheckerFailure
+ (lazy ("Fix: not guarded by destructors:"^CicPp.ppterm t)))
+ else
+ ugraph2
+ end
else
- raise (TypeCheckerFailure (lazy ("Fix: ill-typed bodies")))
+ raise (TypeCheckerFailure (lazy ("Fix: ill-typed bodies")))
) ugraph1 fl in
- (*CSC: controlli mancanti solo su D{f,k,x,M} *)
+ (*CSC: controlli mancanti solo su D{f,k,x,M} *)
let (_,_,ty,_) = List.nth fl i in
- ty,ugraph2
+ ty,ugraph2
| C.CoFix (i,fl) ->
- let types,ugraph1 =
- List.fold_left
- (fun (l,ugraph) (n,ty,_) ->
+ let types,ugraph1,len =
+ List.fold_left
+ (fun (l,ugraph,len) (n,ty,_) ->
let _,ugraph1 =
- type_of_aux ~logger context ty ugraph in
- (Some (C.Name n,(C.Decl ty))::l,ugraph1)
- ) ([],ugraph) fl
+ type_of_aux ~logger context ty ugraph in
+ (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::l,
+ ugraph1,len+1)
+ ) ([],ugraph,0) fl
in
- let len = List.length types in
let ugraph2 =
- List.fold_left
+ List.fold_left
(fun ugraph (_,ty,bo) ->
- let ty_bo,ugraph1 =
- type_of_aux ~logger (types @ context) bo ugraph
- in
- let b,ugraph2 =
- R.are_convertible ~subst ~metasenv (types @ context) ty_bo
- (CicSubstitution.lift len ty) ugraph1
- in
- if b then
- begin
- (* let's control that the returned type is coinductive *)
- match returns_a_coinductive ~subst context ty with
- None ->
- raise
- (TypeCheckerFailure
- (lazy "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 ~subst
- (types @ context) 0 len false bo [] uri) then
- raise
- (TypeCheckerFailure
- (lazy "CoFix: not guarded by constructors"))
- else
- ugraph2
- end
- else
- raise
- (TypeCheckerFailure (lazy "CoFix: ill-typed bodies"))
+ let ty_bo,ugraph1 =
+ type_of_aux ~logger (types @ context) bo ugraph
+ in
+ let b,ugraph2 =
+ R.are_convertible ~subst ~metasenv (types @ context) ty_bo
+ (CicSubstitution.lift len ty) ugraph1
+ in
+ if b then
+ begin
+ (* let's control that the returned type is coinductive *)
+ match returns_a_coinductive ~subst context ty with
+ None ->
+ raise
+ (TypeCheckerFailure
+ (lazy "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 ~logger ~subst ~metasenv uri
+ (types @ context) 0 len false bo) then
+ raise
+ (TypeCheckerFailure
+ (lazy "CoFix: not guarded by constructors"))
+ else
+ ugraph2
+ end
+ else
+ raise
+ (TypeCheckerFailure (lazy "CoFix: ill-typed bodies"))
) ugraph1 fl
in
let (_,ty,_) = List.nth fl i in
- ty,ugraph2
+ ty,ugraph2
- and check_exp_named_subst ~logger ~subst context ugraph =
+ and check_exp_named_subst uri ~logger ~subst context ens ugraph =
+ let params =
+ let obj,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
+ (match obj with
+ Cic.Constant (_,_,_,params,_) -> params
+ | Cic.Variable (_,_,_,params,_) -> params
+ | Cic.CurrentProof (_,_,_,_,params,_) -> params
+ | Cic.InductiveDefinition (_,params,_,_) -> params
+ ) in
+ let rec check_same_order params ens =
+ match params,ens with
+ | _,[] -> ()
+ | [],_::_ ->
+ raise (TypeCheckerFailure (lazy "Bad explicit named substitution"))
+ | uri::tl,(uri',_)::tl' when UriManager.eq uri uri' ->
+ check_same_order tl tl'
+ | _::tl,l -> check_same_order tl l
+ in
let rec check_exp_named_subst_aux ~logger esubsts l ugraph =
match l with
- [] -> ugraph
+ [] -> ugraph
| ((uri,t) as item)::tl ->
- let ty_uri,ugraph1 = type_of_variable ~logger uri ugraph in
- let typeofvar =
+ let ty_uri,ugraph1 = type_of_variable ~logger uri ugraph in
+ let typeofvar =
CicSubstitution.subst_vars esubsts ty_uri in
- let typeoft,ugraph2 = type_of_aux ~logger context t ugraph1 in
- let b,ugraph3 =
+ let typeoft,ugraph2 = type_of_aux ~logger context t ugraph1 in
+ let b,ugraph3 =
CicReduction.are_convertible ~subst ~metasenv
- context typeoft typeofvar ugraph2
- in
- if b then
+ context typeoft typeofvar ugraph2
+ in
+ if b then
check_exp_named_subst_aux ~logger (esubsts@[item]) tl ugraph3
else
begin
- CicReduction.fdebug := 0 ;
- ignore
- (CicReduction.are_convertible
- ~subst ~metasenv context typeoft typeofvar ugraph2) ;
- fdebug := 0 ;
- debug typeoft [typeofvar] ;
- raise (TypeCheckerFailure (lazy "Wrong Explicit Named Substitution"))
+ CicReduction.fdebug := 0 ;
+ ignore
+ (CicReduction.are_convertible
+ ~subst ~metasenv context typeoft typeofvar ugraph2) ;
+ fdebug := 0 ;
+ debug typeoft [typeofvar] ;
+ raise (TypeCheckerFailure (lazy "Wrong Explicit Named Substitution"))
end
in
- check_exp_named_subst_aux ~logger [] ugraph
+ check_same_order params ens ;
+ check_exp_named_subst_aux ~logger [] ens ugraph
and sort_of_prod ~subst context (name,s) (t1, t2) ugraph =
let module C = Cic in
let t1' = CicReduction.whd ~subst context t1 in
let t2' = CicReduction.whd ~subst ((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 or s2 = C.CProp) ->
+ | (C.Sort s1, C.Sort (C.Prop | C.Set)) ->
(* different from Coq manual!!! *)
- C.Sort s2,ugraph
- | (C.Sort (C.Type t1), C.Sort (C.Type t2)) ->
- (* TASSI: CONSRTAINTS: the same in doubletypeinference, cicrefine *)
+ t2',ugraph
+ | (C.Sort (C.Type t1 | C.CProp t1), C.Sort (C.Type t2)) ->
let t' = CicUniv.fresh() in
- let ugraph1 = CicUniv.add_ge t' t1 ugraph in
- let ugraph2 = CicUniv.add_ge t' t2 ugraph1 in
- C.Sort (C.Type t'),ugraph2
- | (C.Sort _,C.Sort (C.Type t1)) ->
- (* TASSI: CONSRTAINTS: the same in doubletypeinference, cicrefine *)
- C.Sort (C.Type t1),ugraph (* c'e' bisogno di un fresh? *)
+ (try
+ let ugraph1 = CicUniv.add_ge t' t1 ugraph in
+ let ugraph2 = CicUniv.add_ge t' t2 ugraph1 in
+ C.Sort (C.Type t'),ugraph2
+ with
+ CicUniv.UniverseInconsistency msg -> raise (TypeCheckerFailure msg))
+ | (C.Sort (C.CProp t1 | C.Type t1), C.Sort (C.CProp t2)) ->
+ let t' = CicUniv.fresh() in
+ (try
+ let ugraph1 = CicUniv.add_ge t' t1 ugraph in
+ let ugraph2 = CicUniv.add_ge t' t2 ugraph1 in
+ C.Sort (C.CProp t'),ugraph2
+ with
+ CicUniv.UniverseInconsistency msg -> raise (TypeCheckerFailure msg))
+ | (C.Sort _,C.Sort (C.Type t1)) -> C.Sort (C.Type t1),ugraph
+ | (C.Sort _,C.Sort (C.CProp t1)) -> C.Sort (C.CProp t1),ugraph
| (C.Meta _, C.Sort _) -> t2',ugraph
| (C.Meta _, (C.Meta (_,_) as t))
| (C.Sort _, (C.Meta (_,_) as t)) when CicUtil.is_closed t ->
match l with
[] -> hetype,ugraph
| (hete, hety)::tl ->
- (match (CicReduction.whd ~subst context hetype) with
+ (match (CicReduction.whd ~subst context hetype) with
Cic.Prod (n,s,t) ->
- let b,ugraph1 =
- CicReduction.are_convertible
- ~subst ~metasenv context hety s ugraph
- in
- if b then
- begin
- CicReduction.fdebug := -1 ;
- eat_prods ~subst context
- (CicSubstitution.subst hete t) tl ugraph1
- (*TASSI: not sure *)
- end
- else
- begin
- CicReduction.fdebug := 0 ;
- ignore (CicReduction.are_convertible
- ~subst ~metasenv context s hety ugraph) ;
- fdebug := 0 ;
- debug s [hety] ;
- raise
- (TypeCheckerFailure
- (lazy (sprintf
- ("Appl: wrong parameter-type, expected %s, found %s")
- (CicPp.ppterm hetype) (CicPp.ppterm s))))
- end
- | _ ->
- raise (TypeCheckerFailure
- (lazy "Appl: this is not a function, it cannot be applied"))
- )
+ let b,ugraph1 =
+(*if (match hety,s with Cic.Sort _,Cic.Sort _ -> false | _,_ -> true) && hety <> s then(
+prerr_endline ("AAA22: " ^ CicPp.ppterm hete ^ ": " ^ CicPp.ppterm hety ^ " <==> " ^ CicPp.ppterm s); let res = CicReduction.are_convertible ~subst ~metasenv context hety s ugraph in prerr_endline "#"; res) else*)
+ CicReduction.are_convertible
+ ~subst ~metasenv context hety s ugraph
+ in
+ if b then
+ begin
+ CicReduction.fdebug := -1 ;
+ eat_prods ~subst context
+ (CicSubstitution.subst ~avoid_beta_redexes:true hete t)
+ tl ugraph1
+ (*TASSI: not sure *)
+ end
+ else
+ begin
+ CicReduction.fdebug := 0 ;
+ ignore (CicReduction.are_convertible
+ ~subst ~metasenv context s hety ugraph) ;
+ fdebug := 0 ;
+ debug s [hety] ;
+ raise
+ (TypeCheckerFailure
+ (lazy (sprintf
+ ("Appl: wrong parameter-type, expected %s, found %s")
+ (CicPp.ppterm hetype) (CicPp.ppterm s))))
+ end
+ | _ ->
+ raise (TypeCheckerFailure
+ (lazy "Appl: this is not a function, it cannot be applied"))
+ )
and returns_a_coinductive ~subst context ty =
let module C = Cic in
)
| C.Appl ((C.MutInd (uri,i,_))::_) ->
(let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
- match o with
+ match o with
C.InductiveDefinition (itl,_,_,_) ->
let (_,is_inductive,_,_) = List.nth itl i in
if is_inductive then None else (Some uri)
is_small_or_non_informative_aux
~logger ((Some (n,(C.Decl so)))::context) de ugraph1
else
- false,ugraph1
+ false,ugraph1
| _ -> true,ugraph (*CSC: we trust the type-checker *)
in
let (context',dx) = split_prods ~subst:[] context paramsno c in
*)
;;
-let typecheck_obj0 ~logger uri ugraph =
+let typecheck_obj0 ~logger uri (obj,unchecked_ugraph) =
let module C = Cic in
- function
- C.Constant (_,Some te,ty,_,_) ->
- let _,ugraph = type_of ~logger ty ugraph in
- let ty_te,ugraph = type_of ~logger te ugraph in
- let b,ugraph = (CicReduction.are_convertible [] ty_te ty ugraph) in
- if not b then
- raise (TypeCheckerFailure
- (lazy
- ("the type of the body is not the one expected:\n" ^
- CicPp.ppterm ty_te ^ "\nvs\n" ^
- CicPp.ppterm ty)))
- else
- ugraph
- | C.Constant (_,None,ty,_,_) ->
- (* only to check that ty is well-typed *)
- let _,ugraph = type_of ~logger ty ugraph in
- ugraph
- | C.CurrentProof (_,conjs,te,ty,_,_) ->
- let _,ugraph =
- List.fold_left
- (fun (metasenv,ugraph) ((_,context,ty) as conj) ->
- let _,ugraph =
- type_of_aux' ~logger metasenv context ty ugraph
- in
- metasenv @ [conj],ugraph
- ) ([],ugraph) conjs
- in
- let _,ugraph = type_of_aux' ~logger conjs [] ty ugraph in
- let type_of_te,ugraph =
- type_of_aux' ~logger conjs [] te ugraph
- in
- let b,ugraph = CicReduction.are_convertible [] type_of_te ty ugraph in
- if not b then
- raise (TypeCheckerFailure (lazy (sprintf
- "the current proof is not well typed because the type %s of the body is not convertible to the declared type %s"
- (CicPp.ppterm type_of_te) (CicPp.ppterm ty))))
- else
+ let ugraph = CicUniv.empty_ugraph in
+ let inferred_ugraph =
+ match obj with
+ | C.Constant (_,Some te,ty,_,_) ->
+ let _,ugraph = type_of ~logger ty ugraph in
+ let ty_te,ugraph = type_of ~logger te ugraph in
+ let b,ugraph = (CicReduction.are_convertible [] ty_te ty ugraph) in
+ if not b then
+ raise (TypeCheckerFailure
+ (lazy
+ ("the type of the body is not the one expected:\n" ^
+ CicPp.ppterm ty_te ^ "\nvs\n" ^
+ CicPp.ppterm ty)))
+ else
+ ugraph
+ | C.Constant (_,None,ty,_,_) ->
+ (* only to check that ty is well-typed *)
+ let _,ugraph = type_of ~logger ty ugraph in
ugraph
- | C.Variable (_,bo,ty,_,_) ->
- (* only to check that ty is well-typed *)
- let _,ugraph = type_of ~logger ty ugraph in
- (match bo with
- None -> ugraph
- | Some bo ->
- let ty_bo,ugraph = type_of ~logger bo ugraph in
- let b,ugraph = CicReduction.are_convertible [] ty_bo ty ugraph in
- if not b then
- raise (TypeCheckerFailure
- (lazy "the body is not the one expected"))
- else
- ugraph
- )
- | (C.InductiveDefinition _ as obj) ->
- check_mutual_inductive_defs ~logger uri obj ugraph
+ | C.CurrentProof (_,conjs,te,ty,_,_) ->
+ (* this block is broken since the metasenv should
+ * be topologically sorted before typing metas *)
+ ignore(assert false);
+ let _,ugraph =
+ List.fold_left
+ (fun (metasenv,ugraph) ((_,context,ty) as conj) ->
+ let _,ugraph =
+ type_of_aux' ~logger metasenv context ty ugraph
+ in
+ metasenv @ [conj],ugraph
+ ) ([],ugraph) conjs
+ in
+ let _,ugraph = type_of_aux' ~logger conjs [] ty ugraph in
+ let type_of_te,ugraph =
+ type_of_aux' ~logger conjs [] te ugraph
+ in
+ let b,ugraph = CicReduction.are_convertible [] type_of_te ty ugraph in
+ if not b then
+ raise (TypeCheckerFailure (lazy (sprintf
+ "the current proof is not well typed because the type %s of the body is not convertible to the declared type %s"
+ (CicPp.ppterm type_of_te) (CicPp.ppterm ty))))
+ else
+ ugraph
+ | C.Variable (_,bo,ty,_,_) ->
+ (* only to check that ty is well-typed *)
+ let _,ugraph = type_of ~logger ty ugraph in
+ (match bo with
+ None -> ugraph
+ | Some bo ->
+ let ty_bo,ugraph = type_of ~logger bo ugraph in
+ let b,ugraph = CicReduction.are_convertible [] ty_bo ty ugraph in
+ if not b then
+ raise (TypeCheckerFailure
+ (lazy "the body is not the one expected"))
+ else
+ ugraph
+ )
+ | (C.InductiveDefinition _ as obj) ->
+ check_mutual_inductive_defs ~logger uri obj ugraph
+ in
+ check_and_clean_ugraph inferred_ugraph unchecked_ugraph uri obj
+;;
-let typecheck uri =
+let typecheck ?(trust=true) uri =
let module C = Cic in
let module R = CicReduction in
let module U = UriManager in
let logger = new CicLogger.logger in
- (* ??? match CicEnvironment.is_type_checked ~trust:true uri with ???? *)
- match CicEnvironment.is_type_checked ~trust:false CicUniv.empty_ugraph uri with
- CicEnvironment.CheckedObj (cobj,ugraph') ->
- (* debug_print (lazy ("NON-INIZIO A TYPECHECKARE " ^ U.string_of_uri uri));*)
- cobj,ugraph'
- | CicEnvironment.UncheckedObj uobj ->
+ match CicEnvironment.is_type_checked ~trust CicUniv.empty_ugraph uri with
+ | CicEnvironment.CheckedObj (cobj,ugraph') -> cobj,ugraph'
+ | CicEnvironment.UncheckedObj (uobj,unchecked_ugraph) ->
(* let's typecheck the uncooked object *)
logger#log (`Start_type_checking uri) ;
- (* debug_print (lazy ("INIZIO A TYPECHECKARE " ^ U.string_of_uri uri)); *)
- let ugraph = typecheck_obj0 ~logger uri CicUniv.empty_ugraph uobj in
- try
- CicEnvironment.set_type_checking_info uri;
- logger#log (`Type_checking_completed uri);
- match CicEnvironment.is_type_checked ~trust:false ugraph uri with
- CicEnvironment.CheckedObj (cobj,ugraph') -> cobj,ugraph'
- | _ -> raise CicEnvironmentError
- with
- (*
- this is raised if set_type_checking_info is called on an object
- that has no associated universe file. If we are in univ_maker
- phase this is OK since univ_maker will properly commit the
- object.
- *)
- Invalid_argument s ->
- (*debug_print (lazy s);*)
- uobj,ugraph
+ let ugraph, ul, obj = typecheck_obj0 ~logger uri (uobj,unchecked_ugraph) in
+ CicEnvironment.set_type_checking_info uri (obj,ugraph,ul);
+ logger#log (`Type_checking_completed uri);
+ match CicEnvironment.is_type_checked ~trust CicUniv.empty_ugraph uri with
+ | CicEnvironment.CheckedObj (cobj,ugraph') -> cobj,ugraph'
+ | _ -> raise CicEnvironmentError
;;
let typecheck_obj ~logger uri obj =
- let ugraph = typecheck_obj0 ~logger uri CicUniv.empty_ugraph obj in
- let ugraph, univlist, obj = CicUnivUtils.clean_and_fill uri obj ugraph in
- CicEnvironment.add_type_checked_obj uri (obj,ugraph,univlist)
+ let ugraph,univlist,obj = typecheck_obj0 ~logger uri (obj,None) in
+ CicEnvironment.add_type_checked_obj uri (obj,ugraph,univlist)
(** wrappers which instantiate fresh loggers *)
~logger:(new CicLogger.logger) [] uri i true
(Cic.Implicit None) (* never used *) (Cic.Sort s1) (Cic.Sort s2)
CicUniv.empty_ugraph)
+;;
+
+Deannotate.type_of_aux' :=
+ fun context t ->
+ ignore (
+ List.fold_right
+ (fun el context ->
+ (match el with
+ None -> ()
+ | Some (_,Cic.Decl ty) ->
+ ignore (type_of_aux' [] context ty CicUniv.empty_ugraph)
+ | Some (_,Cic.Def (bo,ty)) ->
+ ignore (type_of_aux' [] context ty CicUniv.empty_ugraph);
+ ignore (type_of_aux' [] context bo CicUniv.empty_ugraph));
+ el::context
+ ) context []);
+ fst (type_of_aux' [] context t CicUniv.empty_ugraph);;