X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Focaml%2Fcic_proof_checking%2FcicTypeChecker.ml;h=af98ff0efc72b53acfd7d7e8b225e45272a166f4;hb=4167cea65ca58897d1a3dbb81ff95de5074700cc;hp=5363c5e64f3294a7c06c43277826c33065207d8e;hpb=1f911ae5768c21f0f30c74cbc9bedf537477e5f5;p=helm.git
diff --git a/helm/ocaml/cic_proof_checking/cicTypeChecker.ml b/helm/ocaml/cic_proof_checking/cicTypeChecker.ml
index 5363c5e64..af98ff0ef 100644
--- a/helm/ocaml/cic_proof_checking/cicTypeChecker.ml
+++ b/helm/ocaml/cic_proof_checking/cicTypeChecker.ml
@@ -23,165 +23,279 @@
* http://cs.unibo.it/helm/.
*)
-exception NotImplemented;;
-exception Impossible of int;;
-exception NotWellTyped of string;;
-exception WrongUriToConstant of string;;
-exception WrongUriToVariable of string;;
-exception WrongUriToMutualInductiveDefinitions of string;;
-exception ListTooShort;;
-exception NotPositiveOccurrences of string;;
-exception NotWellFormedTypeOfInductiveConstructor of string;;
-exception WrongRequiredArgument of string;;
+(* TODO factorize functions to frequent errors (e.g. "Unknwon mutual inductive
+ * ...") *)
-let log =
- let module U = UriManager in
- let indent = ref 0 in
- function
- `Start_type_checking uri ->
- print_string (
- (String.make !indent ' ') ^
- "" ^
- "Type-Checking of " ^ (U.string_of_uri uri) ^ " started
\n"
- ) ;
- flush stdout ;
- incr indent
- | `Type_checking_completed uri ->
- decr indent ;
- print_string (
- (String.make !indent ' ') ^
- "" ^
- "Type-Checking of " ^ (U.string_of_uri uri) ^ " completed.
\n"
- ) ;
- flush stdout
-;;
+open Printf
+
+exception AssertFailure of string Lazy.t;;
+exception TypeCheckerFailure of string Lazy.t;;
let fdebug = ref 0;;
-let debug t env =
+let debug t context =
let rec debug_aux t i =
let module C = Cic in
let module U = UriManager in
- CicPp.ppobj (C.Variable ("DEBUG", None, t)) ^ "\n" ^ i
+ CicPp.ppobj (C.Variable ("DEBUG", None, t, [], [])) ^ "\n" ^ i
in
if !fdebug = 0 then
- raise (NotWellTyped ("\n" ^ List.fold_right debug_aux (t::env) ""))
- (*print_endline ("\n" ^ List.fold_right debug_aux (t::env) "") ; flush stdout*)
+ raise (TypeCheckerFailure (lazy (List.fold_right debug_aux (t::context) "")))
;;
+let debug_print = fun _ -> () ;;
+
let rec split l n =
match (l,n) with
(l,0) -> ([], l)
| (he::tl, n) -> let (l1,l2) = split tl (n-1) in (he::l1,l2)
- | (_,_) -> raise ListTooShort
+ | (_,_) ->
+ raise (TypeCheckerFailure (lazy "Parameters number < left parameters number"))
+;;
+
+let debrujin_constructor uri number_of_types =
+ let rec aux k =
+ let module C = Cic in
+ function
+ C.Rel n as t when n <= k -> t
+ | C.Rel _ ->
+ raise (TypeCheckerFailure (lazy "unbound variable found in constructor type"))
+ | C.Var (uri,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map (function (uri,t) -> (uri,aux k t)) exp_named_subst
+ in
+ C.Var (uri,exp_named_subst')
+ | C.Meta (i,l) ->
+ let l' = List.map (function None -> None | Some t -> Some (aux k t)) l in
+ C.Meta (i,l)
+ | C.Sort _
+ | C.Implicit _ as t -> t
+ | C.Cast (te,ty) -> C.Cast (aux k te, aux k ty)
+ | C.Prod (n,s,t) -> C.Prod (n, aux k s, aux (k+1) t)
+ | C.Lambda (n,s,t) -> C.Lambda (n, aux k s, aux (k+1) t)
+ | C.LetIn (n,s,t) -> C.LetIn (n, aux k s, aux (k+1) t)
+ | C.Appl l -> C.Appl (List.map (aux k) l)
+ | C.Const (uri,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map (function (uri,t) -> (uri,aux k t)) exp_named_subst
+ in
+ C.Const (uri,exp_named_subst')
+ | C.MutInd (uri',tyno,exp_named_subst) when UriManager.eq uri uri' ->
+ if exp_named_subst != [] then
+ raise (TypeCheckerFailure
+ (lazy ("non-empty explicit named substitution is applied to "^
+ "a mutual inductive type which is being defined"))) ;
+ C.Rel (k + number_of_types - tyno) ;
+ | C.MutInd (uri',tyno,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map (function (uri,t) -> (uri,aux k t)) exp_named_subst
+ in
+ C.MutInd (uri',tyno,exp_named_subst')
+ | C.MutConstruct (uri,tyno,consno,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map (function (uri,t) -> (uri,aux k t)) exp_named_subst
+ in
+ C.MutConstruct (uri,tyno,consno,exp_named_subst')
+ | C.MutCase (sp,i,outty,t,pl) ->
+ C.MutCase (sp, i, aux k outty, aux k t,
+ List.map (aux k) pl)
+ | C.Fix (i, fl) ->
+ let len = List.length fl in
+ let liftedfl =
+ List.map
+ (fun (name, i, ty, bo) -> (name, i, aux k ty, aux (k+len) bo))
+ fl
+ in
+ C.Fix (i, liftedfl)
+ | C.CoFix (i, fl) ->
+ let len = List.length fl in
+ let liftedfl =
+ List.map
+ (fun (name, ty, bo) -> (name, aux k ty, aux (k+len) bo))
+ fl
+ in
+ C.CoFix (i, liftedfl)
+ in
+ aux 0
;;
exception CicEnvironmentError;;
-let rec cooked_type_of_constant uri cookingsno =
+let rec type_of_constant ~logger uri ugraph =
let module C = Cic in
let module R = CicReduction in
let module U = UriManager in
- let cobj =
- match CicEnvironment.is_type_checked uri cookingsno with
- CicEnvironment.CheckedObj cobj -> cobj
+ let cobj,ugraph =
+ match CicEnvironment.is_type_checked ~trust:true ugraph uri with
+ CicEnvironment.CheckedObj (cobj,ugraph') -> cobj,ugraph'
| CicEnvironment.UncheckedObj uobj ->
- log (`Start_type_checking uri) ;
+ logger#log (`Start_type_checking uri) ;
(* let's typecheck the uncooked obj *)
- (match uobj with
- C.Definition (_,te,ty,_) ->
- let _ = type_of ty in
- if not (R.are_convertible (type_of te) ty) then
- raise (NotWellTyped ("Constant " ^ (U.string_of_uri uri)))
- | C.Axiom (_,ty,_) ->
+
+(****************************************************************
+ TASSI: FIXME qui e' inutile ricordarselo,
+ tanto poi lo richiediamo alla cache che da quello su disco
+*****************************************************************)
+
+ let ugraph_dust =
+ (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
+ 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'
+ | C.Constant (_,None,ty,_,_) ->
(* only to check that ty is well-typed *)
- let _ = type_of ty in ()
- | C.CurrentProof (_,_,te,ty) ->
- let _ = type_of ty in
- if not (R.are_convertible (type_of te) ty) then
- raise (NotWellTyped ("CurrentProof" ^ (U.string_of_uri uri)))
- | _ -> raise (WrongUriToConstant (U.string_of_uri uri))
- ) ;
- CicEnvironment.set_type_checking_info uri ;
- log (`Type_checking_completed uri) ;
- match CicEnvironment.is_type_checked uri cookingsno with
- CicEnvironment.CheckedObj cobj -> cobj
- | CicEnvironment.UncheckedObj _ -> raise CicEnvironmentError
+ let _,ugraph' = type_of ~logger ty ugraph in
+ ugraph'
+ | C.CurrentProof (_,conjs,te,ty,_,_) ->
+ let _,ugraph1 =
+ 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 _,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
+ 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
+ | _ ->
+ raise
+ (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
in
- match cobj with
- C.Definition (_,_,ty,_) -> ty
- | C.Axiom (_,ty,_) -> ty
- | C.CurrentProof (_,_,_,ty) -> ty
- | _ -> raise (WrongUriToConstant (U.string_of_uri uri))
+ match cobj,ugraph with
+ (C.Constant (_,_,ty,_,_)),g -> ty,g
+ | (C.CurrentProof (_,_,_,ty,_,_)),g -> ty,g
+ | _ ->
+ raise (TypeCheckerFailure (lazy ("Unknown constant:" ^ U.string_of_uri uri)))
-and type_of_variable uri =
+and type_of_variable ~logger uri 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 uri 0 with
- CicEnvironment.CheckedObj (C.Variable (_,_,ty)) -> ty
- | CicEnvironment.UncheckedObj (C.Variable (_,bo,ty)) ->
- log (`Start_type_checking uri) ;
+ match CicEnvironment.is_type_checked ~trust:true ugraph uri with
+ CicEnvironment.CheckedObj ((C.Variable (_,_,ty,_,_)),ugraph') -> ty,ugraph'
+ | CicEnvironment.UncheckedObj (C.Variable (_,bo,ty,_,_)) ->
+ logger#log (`Start_type_checking uri) ;
(* only to check that ty is well-typed *)
- let _ = type_of ty in
+ let _,ugraph1 = type_of ~logger ty ugraph in
+ let ugraph2 =
(match bo with
- None -> ()
+ None -> ugraph
| Some bo ->
- if not (R.are_convertible (type_of bo) ty) then
- raise (NotWellTyped ("Variable " ^ (U.string_of_uri uri)))
- ) ;
- CicEnvironment.set_type_checking_info uri ;
- log (`Type_checking_completed uri) ;
- ty
- | _ -> raise (WrongUriToVariable (UriManager.string_of_uri uri))
+ let ty_bo,ugraph' = type_of ~logger bo ugraph1 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'')
+ 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)
+ | _ ->
+ raise (TypeCheckerFailure (lazy ("Unknown variable:" ^ U.string_of_uri uri)))
-and does_not_occur n nn te =
+and does_not_occur ?(subst=[]) context n nn te =
let module C = Cic in
(*CSC: whd sembra essere superflua perche' un caso in cui l'occorrenza *)
(*CSC: venga mangiata durante la whd sembra presentare problemi di *)
(*CSC: universi *)
- match CicReduction.whd te with
+ match CicReduction.whd ~subst context te with
C.Rel m when m > n && m <= nn -> false
| C.Rel _
- | C.Var _
- | C.Meta _
| C.Sort _
- | C.Implicit -> true
- | C.Cast (te,ty) -> does_not_occur n nn te && does_not_occur n nn ty
- | C.Prod (_,so,dest) ->
- does_not_occur n nn so && does_not_occur (n + 1) (nn + 1) dest
- | C.Lambda (_,so,dest) ->
- does_not_occur n nn so && does_not_occur (n + 1) (nn + 1) dest
- | C.LetIn (_,so,dest) ->
- does_not_occur n nn so && does_not_occur (n + 1) (nn + 1) dest
+ | C.Implicit _ -> true
+ | C.Meta (_,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
+ | C.Cast (te,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)
+ dest
+ | C.LetIn (name,so,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
| C.Appl l ->
- List.fold_right (fun x i -> i && does_not_occur n nn x) l true
- | C.Const _
- | C.Abst _
- | C.MutInd _
- | C.MutConstruct _ -> true
- | C.MutCase (_,_,_,out,te,pl) ->
- does_not_occur n nn out && does_not_occur n nn te &&
- List.fold_right (fun x i -> i && does_not_occur n nn x) pl true
+ List.fold_right (fun x i -> i && does_not_occur ~subst context n nn x) l true
+ | C.Var (_,exp_named_subst)
+ | C.Const (_,exp_named_subst)
+ | C.MutInd (_,_,exp_named_subst)
+ | C.MutConstruct (_,_,_,exp_named_subst) ->
+ List.fold_right (fun (_,x) i -> i && does_not_occur ~subst context n nn x)
+ exp_named_subst true
+ | 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
| C.Fix (_,fl) ->
let len = List.length fl in
let n_plus_len = n + len in
let nn_plus_len = nn + len in
+ let tys =
+ List.map (fun (n,_,ty,_) -> Some (C.Name n,(Cic.Decl ty))) fl
+ in
List.fold_right
(fun (_,_,ty,bo) i ->
- i && does_not_occur n_plus_len nn_plus_len ty &&
- does_not_occur n_plus_len nn_plus_len bo
+ i && does_not_occur ~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
let n_plus_len = n + len in
let nn_plus_len = nn + len in
+ let tys =
+ List.map (fun (n,ty,_) -> Some (C.Name n,(Cic.Decl ty))) fl
+ in
List.fold_right
(fun (_,ty,bo) i ->
- i && does_not_occur n_plus_len nn_plus_len ty &&
- does_not_occur n_plus_len nn_plus_len bo
+ i && does_not_occur ~subst context n nn ty &&
+ 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 *)
@@ -189,53 +303,86 @@ and does_not_occur n nn te =
(*CSC dei controlli leggermente diversi. Viene invocata solamente dalla *)
(*CSC strictly_positive *)
(*CSC definizione (giusta???) tratta dalla mail di Hugo ;-) *)
-and weakly_positive n nn uri te =
+and weakly_positive context n nn uri te =
let module C = Cic in
- (*CSC mettere in cicSubstitution *)
- let rec subst_inductive_type_with_dummy_rel =
+(*CSC: Che schifo! Bisogna capire meglio e trovare una soluzione ragionevole!*)
+ let dummy_mutind =
+ C.MutInd (HelmLibraryObjects.Datatypes.nat_URI,0,[])
+ in
+ (*CSC: mettere in cicSubstitution *)
+ let rec subst_inductive_type_with_dummy_mutind =
function
- C.MutInd (uri',_,0) when UriManager.eq uri' uri ->
- C.Rel 0 (* dummy rel *)
- | C.Appl ((C.MutInd (uri',_,0))::tl) when UriManager.eq uri' uri ->
- C.Rel 0 (* dummy rel *)
- | C.Cast (te,ty) -> subst_inductive_type_with_dummy_rel te
+ C.MutInd (uri',0,_) when UriManager.eq uri' uri ->
+ dummy_mutind
+ | C.Appl ((C.MutInd (uri',0,_))::tl) when UriManager.eq uri' uri ->
+ dummy_mutind
+ | C.Cast (te,ty) -> subst_inductive_type_with_dummy_mutind te
| C.Prod (name,so,ta) ->
- C.Prod (name, subst_inductive_type_with_dummy_rel so,
- subst_inductive_type_with_dummy_rel ta)
+ C.Prod (name, subst_inductive_type_with_dummy_mutind so,
+ subst_inductive_type_with_dummy_mutind ta)
| C.Lambda (name,so,ta) ->
- C.Lambda (name, subst_inductive_type_with_dummy_rel so,
- subst_inductive_type_with_dummy_rel ta)
+ C.Lambda (name, subst_inductive_type_with_dummy_mutind so,
+ subst_inductive_type_with_dummy_mutind ta)
| C.Appl tl ->
- C.Appl (List.map subst_inductive_type_with_dummy_rel tl)
- | C.MutCase (uri,cookingsno,i,outtype,term,pl) ->
- C.MutCase (uri,cookingsno,i,
- subst_inductive_type_with_dummy_rel outtype,
- subst_inductive_type_with_dummy_rel term,
- List.map subst_inductive_type_with_dummy_rel pl)
+ C.Appl (List.map subst_inductive_type_with_dummy_mutind tl)
+ | C.MutCase (uri,i,outtype,term,pl) ->
+ C.MutCase (uri,i,
+ subst_inductive_type_with_dummy_mutind outtype,
+ subst_inductive_type_with_dummy_mutind term,
+ List.map subst_inductive_type_with_dummy_mutind pl)
| C.Fix (i,fl) ->
C.Fix (i,List.map (fun (name,i,ty,bo) -> (name,i,
- subst_inductive_type_with_dummy_rel ty,
- subst_inductive_type_with_dummy_rel bo)) fl)
+ subst_inductive_type_with_dummy_mutind ty,
+ subst_inductive_type_with_dummy_mutind bo)) fl)
| C.CoFix (i,fl) ->
C.CoFix (i,List.map (fun (name,ty,bo) -> (name,
- subst_inductive_type_with_dummy_rel ty,
- subst_inductive_type_with_dummy_rel bo)) fl)
+ subst_inductive_type_with_dummy_mutind ty,
+ subst_inductive_type_with_dummy_mutind bo)) fl)
+ | C.Const (uri,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map
+ (function (uri,t) -> (uri,subst_inductive_type_with_dummy_mutind t))
+ exp_named_subst
+ in
+ C.Const (uri,exp_named_subst')
+ | C.MutInd (uri,typeno,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map
+ (function (uri,t) -> (uri,subst_inductive_type_with_dummy_mutind t))
+ exp_named_subst
+ in
+ C.MutInd (uri,typeno,exp_named_subst')
+ | C.MutConstruct (uri,typeno,consno,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map
+ (function (uri,t) -> (uri,subst_inductive_type_with_dummy_mutind t))
+ exp_named_subst
+ in
+ C.MutConstruct (uri,typeno,consno,exp_named_subst')
| t -> t
in
- match CicReduction.whd te with
- C.Appl ((C.MutInd (uri',_,0))::tl) when UriManager.eq uri' uri -> true
- | C.MutInd (uri',_,0) when UriManager.eq uri' uri -> true
- | C.Prod (C.Anonimous,source,dest) ->
- strictly_positive n nn (subst_inductive_type_with_dummy_rel source) &&
- weakly_positive (n + 1) (nn + 1) uri dest
- | C.Prod (name,source,dest) when does_not_occur 0 n dest ->
- (* dummy abstraction, so we behave as in the anonimous case *)
- strictly_positive n nn (subst_inductive_type_with_dummy_rel source) &&
- weakly_positive (n + 1) (nn + 1) uri dest
- | C.Prod (_,source,dest) ->
- does_not_occur n nn (subst_inductive_type_with_dummy_rel source) &&
- weakly_positive (n + 1) (nn + 1) uri dest
- | _ -> raise (NotWellFormedTypeOfInductiveConstructor ("Guess where the error is ;-)"))
+ match CicReduction.whd context te with
+ C.Appl ((C.MutInd (uri',0,_))::tl) when UriManager.eq uri' uri -> true
+ | C.MutInd (uri',0,_) when UriManager.eq uri' uri -> true
+ | C.Prod (C.Anonymous,source,dest) ->
+ strictly_positive context n nn
+ (subst_inductive_type_with_dummy_mutind source) &&
+ weakly_positive ((Some (C.Anonymous,(C.Decl source)))::context)
+ (n + 1) (nn + 1) uri dest
+ | C.Prod (name,source,dest) when
+ does_not_occur ((Some (name,(C.Decl source)))::context) 0 n dest ->
+ (* dummy abstraction, so we behave as in the anonimous case *)
+ strictly_positive context n nn
+ (subst_inductive_type_with_dummy_mutind source) &&
+ weakly_positive ((Some (name,(C.Decl source)))::context)
+ (n + 1) (nn + 1) uri dest
+ | C.Prod (name,source,dest) ->
+ does_not_occur context n nn
+ (subst_inductive_type_with_dummy_mutind source)&&
+ weakly_positive ((Some (name,(C.Decl source)))::context)
+ (n + 1) (nn + 1) uri dest
+ | _ ->
+ raise (TypeCheckerFailure (lazy "Malformed inductive constructor type"))
(* instantiate_parameters ps (x1:T1)...(xn:Tn)C *)
(* returns ((x_|ps|:T_|ps|)...(xn:Tn)C){ps_1 / x1 ; ... ; ps_|ps| / x_|ps|} *)
@@ -247,56 +394,59 @@ and instantiate_parameters params c =
instantiate_parameters tl
(CicSubstitution.subst he ta)
| (C.Cast (te,_), _) -> instantiate_parameters params te
- | (t,l) -> raise (Impossible 1)
+ | (t,l) -> raise (AssertFailure (lazy "1"))
-and strictly_positive n nn te =
+and strictly_positive context n nn te =
let module C = Cic in
let module U = UriManager in
- match CicReduction.whd te with
+ match CicReduction.whd context te with
C.Rel _ -> true
| C.Cast (te,ty) ->
(*CSC: bisogna controllare ty????*)
- strictly_positive n nn te
- | C.Prod (_,so,ta) ->
- does_not_occur n nn so &&
- strictly_positive (n+1) (nn+1) ta
+ strictly_positive context n nn te
+ | C.Prod (name,so,ta) ->
+ does_not_occur context n nn so &&
+ strictly_positive ((Some (name,(C.Decl so)))::context) (n+1) (nn+1) ta
| C.Appl ((C.Rel m)::tl) when m > n && m <= nn ->
- List.fold_right (fun x i -> i && does_not_occur n nn x) tl true
- | C.Appl ((C.MutInd (uri,_,i))::tl) ->
- let (ok,paramsno,cl) =
- match CicEnvironment.get_obj uri with
- C.InductiveDefinition (tl,_,paramsno) ->
- let (_,_,_,cl) = List.nth tl i in
- (List.length tl = 1, paramsno, cl)
- | _ -> raise(WrongUriToMutualInductiveDefinitions(U.string_of_uri uri))
+ List.fold_right (fun x i -> i && does_not_occur context n nn x) tl true
+ | C.Appl ((C.MutInd (uri,i,exp_named_subst))::tl) ->
+ let (ok,paramsno,ity,cl,name) =
+ 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' =
- List.map (fun (_,te,_) -> instantiate_parameters lifted_params te) cl
+ List.map
+ (fun (_,te) ->
+ instantiate_parameters lifted_params
+ (CicSubstitution.subst_vars exp_named_subst te)
+ ) cl
in
ok &&
List.fold_right
- (fun x i -> i && does_not_occur n nn x)
+ (fun x i -> i && does_not_occur context n nn x)
arguments true &&
(*CSC: MEGAPATCH3 (sara' quella giusta?)*)
List.fold_right
(fun x i ->
i &&
- weakly_positive (n+1) (nn+1) uri x
+ weakly_positive
+ ((Some (C.Name name,(Cic.Decl ity)))::context) (n+1) (nn+1) uri
+ x
) cl' true
- | C.MutInd (uri,_,i) ->
- (match CicEnvironment.get_obj uri with
- C.InductiveDefinition (tl,_,_) ->
- List.length tl = 1
- | _ -> raise (WrongUriToMutualInductiveDefinitions(U.string_of_uri uri))
- )
- | t -> does_not_occur n nn t
+ | t -> does_not_occur context n nn t
-(*CSC l'indice x dei tipi induttivi e' t.c. n < x <= nn *)
-and are_all_occurrences_positive uri indparamsno i n nn te =
+(* 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 te with
+ match CicReduction.whd context te with
C.Appl ((C.Rel m)::tl) when m = i ->
(*CSC: riscrivere fermandosi a 0 *)
(* let's check if the inductive type is applied at least to *)
@@ -306,150 +456,209 @@ and are_all_occurrences_positive uri indparamsno i n nn te =
(fun k x ->
if k = 0 then 0
else
- match CicReduction.whd x with
+ match CicReduction.whd context x with
C.Rel m when m = n - (indparamsno - k) -> k - 1
- | _ -> raise (WrongRequiredArgument (UriManager.string_of_uri uri))
+ | _ ->
+ raise (TypeCheckerFailure
+ (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 n nn x) tl true
+ List.fold_right (fun x i -> i && does_not_occur context n nn x) tl true
else
- raise (WrongRequiredArgument (UriManager.string_of_uri uri))
+ raise (TypeCheckerFailure
+ (lazy ("Non-positive occurence in mutual inductive definition(s) [2]"^
+ UriManager.string_of_uri uri)))
| C.Rel m when m = i ->
if indparamsno = 0 then
true
else
- raise (WrongRequiredArgument (UriManager.string_of_uri uri))
- | C.Prod (C.Anonimous,source,dest) ->
- strictly_positive n nn source &&
- are_all_occurrences_positive uri indparamsno (i+1) (n + 1) (nn + 1) dest
- | C.Prod (name,source,dest) when does_not_occur 0 n dest ->
+ raise (TypeCheckerFailure
+ (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 ->
(* dummy abstraction, so we behave as in the anonimous case *)
- strictly_positive n nn source &&
- are_all_occurrences_positive uri indparamsno (i+1) (n + 1) (nn + 1) dest
- | C.Prod (_,source,dest) ->
- does_not_occur n nn source &&
- are_all_occurrences_positive uri indparamsno (i+1) (n + 1) (nn + 1) dest
- | _ -> raise (NotWellFormedTypeOfInductiveConstructor (UriManager.string_of_uri uri))
+ strictly_positive context n nn source &&
+ are_all_occurrences_positive
+ ((Some (name,(C.Decl source)))::context) uri indparamsno
+ (i+1) (n + 1) (nn + 1) dest
+ | C.Prod (name,source,dest) ->
+ does_not_occur context n nn source &&
+ are_all_occurrences_positive ((Some (name,(C.Decl source)))::context)
+ uri indparamsno (i+1) (n + 1) (nn + 1) dest
+ | _ ->
+ raise
+ (TypeCheckerFailure (lazy ("Malformed inductive constructor type " ^
+ (UriManager.string_of_uri uri))))
-(*CSC: cambiare il nome, torna unit! *)
-and cooked_mutual_inductive_defs uri =
+(* Main function to checks the correctness of a mutual *)
+(* inductive block definition. This is the function *)
+(* exported to the proof-engine. *)
+and typecheck_mutual_inductive_defs ~logger uri (itl,_,indparamsno) ugraph =
let module U = UriManager in
- function
- Cic.InductiveDefinition (itl, _, indparamsno) ->
- (* let's check if the arity of the inductive types are well *)
- (* formed *)
- List.iter (fun (_,_,x,_) -> let _ = type_of x in ()) itl ;
+ (* let's check if the arity of the inductive types are well *)
+ (* formed *)
+ let ugrap1 = List.fold_left
+ (fun ugraph (_,_,x,_) -> let _,ugraph' =
+ type_of ~logger x ugraph in ugraph')
+ ugraph itl in
- (* let's check if the types of the inductive constructors *)
- (* are well formed. *)
- (* In order not to use type_of_aux we put the types of the *)
- (* mutual inductive types at the head of the types of the *)
- (* constructors using Prods *)
- (*CSC: piccola??? inefficienza *)
- let len = List.length itl in
- let _ =
- List.fold_right
- (fun (_,_,_,cl) i ->
- List.iter
- (fun (name,te,r) ->
+ (* let's check if the types of the inductive constructors *)
+ (* are well formed. *)
+ (* In order not to use type_of_aux we put the types of the *)
+ (* mutual inductive types at the head of the types of the *)
+ (* constructors using Prods *)
+ let len = List.length itl in
+ let tys =
+ List.map (fun (n,_,ty,_) -> Some (Cic.Name n,(Cic.Decl ty))) itl in
+ let _,ugraph2 =
+ List.fold_right
+ (fun (_,_,_,cl) (i,ugraph) ->
+ 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 te
+ List.fold_right
+ (fun (name,_,ty,_) i -> Cic.Prod (Cic.Name name, ty, i))
+ itl debrujinedte
in
- let _ = type_of augmented_term in
- (* let's check also the positivity conditions *)
- if not (are_all_occurrences_positive uri indparamsno i 0 len te)
- then
- raise (NotPositiveOccurrences (U.string_of_uri uri))
- else
- match !r with
- Some _ -> raise (Impossible 2)
- | None -> r := Some (recursive_args 0 len te)
- ) cl ;
- (i + 1)
- ) itl 1
- in
- ()
- | _ ->
- raise (WrongUriToMutualInductiveDefinitions (U.string_of_uri uri))
+ let _,ugraph' = type_of ~logger augmented_term ugraph in
+ (* let's check also the positivity conditions *)
+ if
+ not
+ (are_all_occurrences_positive tys uri indparamsno i 0 len
+ debrujinedte)
+ then
+ raise
+ (TypeCheckerFailure
+ (lazy ("Non positive occurence in " ^ U.string_of_uri uri)))
+ else
+ ugraph'
+ ) ugraph cl in
+ (i + 1),ugraph''
+ ) itl (1,ugraph)
+ in
+ ugraph2
-and cooked_type_of_mutual_inductive_defs uri cookingsno i =
+(* Main function to checks the correctness of a mutual *)
+(* inductive block definition. *)
+and check_mutual_inductive_defs uri obj ugraph =
+ match obj with
+ Cic.InductiveDefinition (itl, params, indparamsno, _) ->
+ typecheck_mutual_inductive_defs uri (itl,params,indparamsno) ugraph
+ | _ ->
+ raise (TypeCheckerFailure (
+ lazy ("Unknown mutual inductive definition:" ^
+ UriManager.string_of_uri uri)))
+
+and type_of_mutual_inductive_defs ~logger uri i ugraph =
let module C = Cic in
let module R = CicReduction in
let module U = UriManager in
- let cobj =
- match CicEnvironment.is_type_checked uri cookingsno with
- CicEnvironment.CheckedObj cobj -> cobj
- | CicEnvironment.UncheckedObj uobj ->
- log (`Start_type_checking uri) ;
- cooked_mutual_inductive_defs uri uobj ;
- CicEnvironment.set_type_checking_info uri ;
- log (`Type_checking_completed uri) ;
- (match CicEnvironment.is_type_checked uri cookingsno with
- CicEnvironment.CheckedObj cobj -> cobj
- | CicEnvironment.UncheckedObj _ -> raise CicEnvironmentError
- )
+ 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
+ (* 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
in
- match cobj with
- C.InductiveDefinition (dl,_,_) ->
- let (_,_,arity,_) = List.nth dl i in
- arity
- | _ -> raise (WrongUriToMutualInductiveDefinitions (U.string_of_uri uri))
-
-and cooked_type_of_mutual_inductive_constr uri cookingsno i j =
+ 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 =
let module C = Cic in
let module R = CicReduction in
let module U = UriManager in
- let cobj =
- match CicEnvironment.is_type_checked uri cookingsno with
- CicEnvironment.CheckedObj cobj -> cobj
- | CicEnvironment.UncheckedObj uobj ->
- log (`Start_type_checking uri) ;
- cooked_mutual_inductive_defs uri uobj ;
- CicEnvironment.set_type_checking_info uri ;
- log (`Type_checking_completed uri) ;
- (match CicEnvironment.is_type_checked uri cookingsno with
- CicEnvironment.CheckedObj cobj -> cobj
- | CicEnvironment.UncheckedObj _ -> raise CicEnvironmentError
- )
+ 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
in
- match cobj with
- C.InductiveDefinition (dl,_,_) ->
- let (_,_,_,cl) = List.nth dl i in
- let (_,ty,_) = List.nth cl (j-1) in
- ty
- | _ -> raise (WrongUriToMutualInductiveDefinitions (U.string_of_uri uri))
+ match cobj with
+ C.InductiveDefinition (dl,_,_,_) ->
+ let (_,_,_,cl) = List.nth dl i in
+ let (_,ty) = List.nth cl (j-1) in
+ ty,ugraph1
+ | _ ->
+ raise (TypeCheckerFailure
+ (lazy ("Unknown mutual inductive definition:" ^ UriManager.string_of_uri uri)))
-and recursive_args n nn te =
+and recursive_args context n nn te =
let module C = Cic in
- match CicReduction.whd te with
+ match CicReduction.whd context te with
C.Rel _ -> []
| C.Var _
| C.Meta _
| C.Sort _
- | C.Implicit
- | C.Cast _ (*CSC ??? *) -> raise (Impossible 3) (* due to type-checking *)
- | C.Prod (_,so,de) ->
- (not (does_not_occur n nn so))::(recursive_args (n+1) (nn + 1) de)
+ | C.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 (Impossible 4) (* due to type-checking *)
+ | C.LetIn _ ->
+ raise (AssertFailure (lazy "4")) (* due to type-checking *)
| C.Appl _ -> []
- | C.Const _
- | C.Abst _ -> raise (Impossible 5)
+ | C.Const _ -> raise (AssertFailure (lazy "5"))
| C.MutInd _
| C.MutConstruct _
| C.MutCase _
| C.Fix _
- | C.CoFix _ -> raise (Impossible 6) (* due to type-checking *)
+ | C.CoFix _ -> raise (AssertFailure (lazy "6")) (* due to type-checking *)
-and get_new_safes p c rl safes n nn x =
+and get_new_safes ~subst context p c rl safes n nn x =
let module C = Cic in
let module U = UriManager in
let module R = CicReduction in
- match (R.whd c, R.whd p, rl) with
- (C.Prod (_,_,ta1), C.Lambda (_,_,ta2), b::tl) ->
+ match (R.whd ~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' =
@@ -458,302 +667,378 @@ and get_new_safes p c rl safes n nn x =
let safes'' =
if b then 1::safes' else safes'
in
- get_new_safes ta2 ta1 tl safes'' (n+1) (nn+1) (x+1)
+ 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)
- | (_,_,_) ->
+ | (C.Appl _, e, []) -> (e,safes,n,nn,x,context)
+ | (c,p,l) ->
(* CSC: If the next exception is raised, it just means that *)
(* CSC: the proof-assistant allows to use very strange things *)
(* CSC: as a branch of a case whose type is a Prod. In *)
(* CSC: particular, this means that a new (C.Prod, x,_) case *)
(* CSC: must be considered in this match. (e.g. x = MutCase) *)
- raise (Impossible 7)
+ raise
+ (AssertFailure (lazy
+ (Printf.sprintf "Get New Safes: c=%s ; p=%s"
+ (CicPp.ppterm c) (CicPp.ppterm p))))
-and split_prods n te =
+and split_prods ~subst context n te =
let module C = Cic in
let module R = CicReduction in
- match (n, R.whd te) with
- (0, _) -> [],te
- | (n, C.Prod (_,so,ta)) when n > 0 ->
- let (l1,l2) = split_prods (n - 1) ta in
- (so::l1,l2)
- | (_, _) -> raise (Impossible 8)
+ match (n, R.whd ~subst context te) with
+ (0, _) -> context,te
+ | (n, C.Prod (name,so,ta)) when n > 0 ->
+ split_prods ~subst ((Some (name,(C.Decl so)))::context) (n - 1) ta
+ | (_, _) -> raise (AssertFailure (lazy "8"))
-and eat_lambdas n te =
+and eat_lambdas ~subst context n te =
let module C = Cic in
let module R = CicReduction in
- match (n, R.whd te) with
- (0, _) -> (te, 0)
- | (n, C.Lambda (_,_,ta)) when n > 0 ->
- let (te, k) = eat_lambdas (n - 1) ta in
- (te, k + 1)
- | (_, _) -> raise (Impossible 9)
+ match (n, R.whd ~subst context te) with
+ (0, _) -> (te, 0, context)
+ | (n, C.Lambda (name,so,ta)) when n > 0 ->
+ let (te, k, context') =
+ eat_lambdas ~subst ((Some (name,(C.Decl so)))::context) (n - 1) ta
+ in
+ (te, k + 1, context')
+ | (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 n nn kl x safes 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 *)
let module C = Cic in
let module U = UriManager in
- match CicReduction.whd te with
+ 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.Implicit _
| C.Cast _
(* | C.Cast (te,ty) ->
- check_is_really_smaller_arg n nn kl x safes te &&
- check_is_really_smaller_arg n nn kl x safes ty*)
+ 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 n nn kl x safes so &&
- check_is_really_smaller_arg (n+1) (nn+1) kl (x+1)
+ 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 (Impossible 10)
- | C.Lambda (_,so,ta) ->
- check_is_really_smaller_arg n nn kl x safes so &&
- check_is_really_smaller_arg (n+1) (nn+1) kl (x+1)
- (List.map (fun x -> x + 1) safes) ta
- | C.LetIn (_,so,ta) ->
- check_is_really_smaller_arg n nn kl x safes so &&
- check_is_really_smaller_arg (n+1) (nn+1) kl (x+1)
- (List.map (fun x -> x + 1) safes) ta
+ | C.Prod _ -> raise (AssertFailure (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 n nn kl x safes he
- | C.Appl [] -> raise (Impossible 11)
+ check_is_really_smaller_arg ~subst context n nn kl x safes he
+ | C.Appl [] -> raise (AssertFailure (lazy "11"))
| C.Const _
- | C.Abst _
- | C.MutInd _ -> raise (Impossible 12)
+ | C.MutInd _ -> raise (AssertFailure (lazy "12"))
| C.MutConstruct _ -> false
- | C.MutCase (uri,_,i,outtype,term,pl) ->
+ | C.MutCase (uri,i,outtype,term,pl) ->
(match term with
C.Rel m when List.mem m safes || m = x ->
- let (isinductive,paramsno,cl) =
- match CicEnvironment.get_obj uri with
- C.InductiveDefinition (tl,_,paramsno) ->
- let (_,isinductive,_,cl) = List.nth tl i in
- let cl' =
- List.map (fun (id,ty,r) -> (id, snd (split_prods paramsno ty), r)) cl
- in
- (isinductive,paramsno,cl')
+ 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 (WrongUriToMutualInductiveDefinitions(U.string_of_uri uri))
+ 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 n nn kl x safes p)
+ (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,rl)) i ->
+ (fun (p,(_,c)) i ->
let rl' =
- match !rl with
- Some rl' ->
- let (_,rl'') = split rl' paramsno in
- rl''
- | None -> raise (Impossible 13)
+ let debrujinedte = debrujin_constructor uri len c in
+ recursive_args tys 0 len debrujinedte
in
- let (e,safes',n',nn',x') =
- get_new_safes p c rl' safes n nn x
+ let (e,safes',n',nn',x',context') =
+ get_new_safes ~subst context p c rl' safes n nn x
in
i &&
- check_is_really_smaller_arg n' nn' kl x' safes' e
- ) (List.combine pl cl) true
+ 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 (isinductive,paramsno,cl) =
- match CicEnvironment.get_obj uri with
- C.InductiveDefinition (tl,_,paramsno) ->
+ 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 cl' =
- List.map (fun (id,ty,r) -> (id, snd (split_prods paramsno ty), r)) cl
+ let tys =
+ List.map (fun (n,_,ty,_) ->
+ Some(Cic.Name n,(Cic.Decl ty))) tl
in
- (isinductive,paramsno,cl')
+ let cl' =
+ List.map
+ (fun (id,ty) ->
+ (id, snd (split_prods ~subst tys paramsno ty))) cl
+ in
+ (tys,List.length tl,isinductive,paramsno,cl')
| _ ->
- raise (WrongUriToMutualInductiveDefinitions(U.string_of_uri uri))
+ 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 n nn kl x safes p)
+ (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,rl)) i ->
+ (fun (p,(_,c)) i ->
let rl' =
- match !rl with
- Some rl' ->
- let (_,rl'') = split rl' paramsno in
- rl''
- | None -> raise (Impossible 14)
+ let debrujinedte = debrujin_constructor uri len c in
+ recursive_args tys 0 len debrujinedte
in
- let (e, safes',n',nn',x') =
- get_new_safes p c rl' safes n nn x
+ let (e, safes',n',nn',x',context') =
+ get_new_safes ~subst context p c rl' safes n nn x
in
i &&
- check_is_really_smaller_arg n' nn' kl x' safes' e
- ) (List.combine pl cl) true
+ check_is_really_smaller_arg ~subst context' n' nn' kl x' safes' e
+ ) pl_and_cl true
| _ ->
List.fold_right
- (fun p i -> i && check_is_really_smaller_arg n nn kl x safes p)
- pl true
+ (fun p i ->
+ i && check_is_really_smaller_arg ~subst context n nn kl x safes p
+ ) pl true
)
| C.Fix (_, fl) ->
let len = List.length fl in
let n_plus_len = n + len
and nn_plus_len = nn + len
and x_plus_len = x + len
+ and tys = List.map (fun (n,_,ty,_) -> Some (C.Name n,(C.Decl ty))) fl
and safes' = List.map (fun x -> x + len) safes in
List.fold_right
(fun (_,_,ty,bo) i ->
i &&
- check_is_really_smaller_arg n_plus_len nn_plus_len kl x_plus_len
- safes' bo
+ check_is_really_smaller_arg ~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 n_plus_len nn_plus_len kl x_plus_len
- safes' bo
+ check_is_really_smaller_arg ~subst (tys@context) n_plus_len nn_plus_len kl
+ x_plus_len safes' bo
) fl true
-and guarded_by_destructors n nn kl x safes =
+and guarded_by_destructors ~subst context n nn kl x safes =
let module C = Cic in
let module U = UriManager in
function
C.Rel m when m > n && m <= nn -> false
- | C.Rel _
- | C.Var _
+ | C.Rel m ->
+ (match List.nth context (n-1) with
+ Some (_,C.Decl _) -> true
+ | Some (_,C.Def (bo,_)) ->
+ guarded_by_destructors ~subst context m nn kl x safes
+ (CicSubstitution.lift m bo)
+ | None -> raise (TypeCheckerFailure (lazy "Reference to deleted hypothesis"))
+ )
| C.Meta _
| C.Sort _
- | C.Implicit -> true
+ | C.Implicit _ -> true
| C.Cast (te,ty) ->
- guarded_by_destructors n nn kl x safes te &&
- guarded_by_destructors n nn kl x safes ty
- | C.Prod (_,so,ta) ->
- guarded_by_destructors n nn kl x safes so &&
- guarded_by_destructors (n+1) (nn+1) kl (x+1)
- (List.map (fun x -> x + 1) safes) ta
- | C.Lambda (_,so,ta) ->
- guarded_by_destructors n nn kl x safes so &&
- guarded_by_destructors (n+1) (nn+1) kl (x+1)
- (List.map (fun x -> x + 1) safes) ta
- | C.LetIn (_,so,ta) ->
- guarded_by_destructors n nn kl x safes so &&
- guarded_by_destructors (n+1) (nn+1) kl (x+1)
- (List.map (fun x -> x + 1) safes) ta
+ guarded_by_destructors ~subst context n nn kl x safes te &&
+ guarded_by_destructors ~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)
+ (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)
+ (n+1) (nn+1) kl (x+1) (List.map (fun x -> x + 1) safes) ta
| C.Appl ((C.Rel m)::tl) when m > n && m <= nn ->
let k = List.nth kl (m - n - 1) in
if not (List.length tl > k) then false
else
List.fold_right
(fun param i ->
- i && guarded_by_destructors n nn kl x safes param
+ i && guarded_by_destructors ~subst context n nn kl x safes param
) tl true &&
- check_is_really_smaller_arg n nn kl x safes (List.nth tl k)
+ check_is_really_smaller_arg ~subst context n nn kl x safes (List.nth tl k)
| C.Appl tl ->
- List.fold_right (fun t i -> i && guarded_by_destructors n nn kl x safes t)
+ List.fold_right
+ (fun t i -> i && guarded_by_destructors ~subst context n nn kl x safes t)
tl true
- | C.Const _
- | C.Abst _
- | C.MutInd _
- | C.MutConstruct _ -> true
- | C.MutCase (uri,_,i,outtype,term,pl) ->
- (match term with
+ | 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
+ | 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 (isinductive,paramsno,cl) =
- match CicEnvironment.get_obj uri with
- C.InductiveDefinition (tl,_,paramsno) ->
- let (_,isinductive,_,cl) = List.nth tl i in
- let cl' =
- List.map (fun (id,ty,r) -> (id, snd (split_prods paramsno ty), r)) cl
- in
- (isinductive,paramsno,cl')
+ 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 (WrongUriToMutualInductiveDefinitions(U.string_of_uri uri))
+ raise (TypeCheckerFailure
+ (lazy ("Unknown mutual inductive definition:" ^
+ UriManager.string_of_uri uri)))
in
if not isinductive then
- guarded_by_destructors n nn kl x safes outtype &&
- guarded_by_destructors n nn kl x safes term &&
+ guarded_by_destructors ~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 n nn kl x safes p)
+ (fun p i ->
+ i && guarded_by_destructors ~subst context n nn kl x safes p)
pl true
else
- guarded_by_destructors n nn kl x safes outtype &&
+ 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,rl)) i ->
- let rl' =
- match !rl with
- Some rl' ->
- let (_,rl'') = split rl' paramsno in
- rl''
- | None -> raise (Impossible 15)
- in
- let (e,safes',n',nn',x') =
- get_new_safes p c rl' safes n nn x
+ (fun (p,(_,c,brujinedc)) i ->
+ let rl' = recursive_args tys 0 len brujinedc in
+ let (e,safes',n',nn',x',context') =
+ get_new_safes ~subst context p c rl' safes n nn x
in
i &&
- guarded_by_destructors n' nn' kl x' safes' e
- ) (List.combine pl cl) true
+ guarded_by_destructors ~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 (isinductive,paramsno,cl) =
- match CicEnvironment.get_obj uri with
- C.InductiveDefinition (tl,_,paramsno) ->
+ 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 cl' =
- List.map (fun (id,ty,r) -> (id, snd (split_prods paramsno ty), r)) cl
+ let tys =
+ List.map
+ (fun (n,_,ty,_) -> Some(Cic.Name n,(Cic.Decl ty))) tl
in
- (isinductive,paramsno,cl')
+ let cl' =
+ List.map
+ (fun (id,ty) ->
+ (id, snd (split_prods ~subst tys paramsno ty))) cl
+ in
+ (tys,List.length tl,isinductive,paramsno,cl')
| _ ->
- raise (WrongUriToMutualInductiveDefinitions(U.string_of_uri uri))
+ raise (TypeCheckerFailure
+ (lazy ("Unknown mutual inductive definition:" ^
+ UriManager.string_of_uri uri)))
in
if not isinductive then
- guarded_by_destructors n nn kl x safes outtype &&
- guarded_by_destructors n nn kl x safes term &&
+ guarded_by_destructors ~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 n nn kl x safes p)
+ (fun p i ->
+ i && guarded_by_destructors ~subst context n nn kl x safes p)
pl true
else
- guarded_by_destructors n nn kl x safes outtype &&
+ 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 n nn kl x safes t)
+ (fun t i ->
+ i && guarded_by_destructors ~subst context n nn kl x safes t)
tl true &&
List.fold_right
- (fun (p,(_,c,rl)) i ->
+ (fun (p,(_,c)) i ->
let rl' =
- match !rl with
- Some rl' ->
- let (_,rl'') = split rl' paramsno in
- rl''
- | None -> raise (Impossible 16)
+ let debrujinedte = debrujin_constructor uri len c in
+ recursive_args tys 0 len debrujinedte
in
- let (e, safes',n',nn',x') =
- get_new_safes p c rl' safes n nn x
+ let (e, safes',n',nn',x',context') =
+ get_new_safes ~subst context p c rl' safes n nn x
in
i &&
- guarded_by_destructors n' nn' kl x' safes' e
- ) (List.combine pl cl) true
+ guarded_by_destructors ~subst context' n' nn' kl x' safes' e
+ ) pl_and_cl true
| _ ->
- guarded_by_destructors n nn kl x safes outtype &&
- guarded_by_destructors n nn kl x safes term &&
+ 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 n nn kl x safes p)
+ (fun p i -> i && guarded_by_destructors ~subst context n nn kl x safes p)
pl true
)
| C.Fix (_, fl) ->
@@ -761,210 +1046,321 @@ and guarded_by_destructors n nn kl x safes =
let n_plus_len = n + len
and nn_plus_len = nn + len
and x_plus_len = x + len
+ and tys = List.map (fun (n,_,ty,_) -> Some (C.Name n,(C.Decl ty))) fl
and safes' = List.map (fun x -> x + len) safes in
List.fold_right
(fun (_,_,ty,bo) i ->
- i && guarded_by_destructors n_plus_len nn_plus_len kl x_plus_len
- safes' ty &&
- guarded_by_destructors n_plus_len nn_plus_len kl x_plus_len
- safes' bo
+ i && guarded_by_destructors ~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
| C.CoFix (_, fl) ->
let len = List.length fl in
let n_plus_len = n + len
and nn_plus_len = nn + len
and x_plus_len = x + len
+ and tys = List.map (fun (n,ty,_) -> Some (C.Name n,(C.Decl ty))) fl
and safes' = List.map (fun x -> x + len) safes in
List.fold_right
(fun (_,ty,bo) i ->
- i && guarded_by_destructors n_plus_len nn_plus_len kl x_plus_len
- safes' ty &&
- guarded_by_destructors n_plus_len nn_plus_len kl x_plus_len safes'
- bo
+ i &&
+ guarded_by_destructors ~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
-(*CSC h = 0 significa non ancora protetto *)
-and guarded_by_constructors n nn h =
+(* the boolean h means already protected *)
+(* args is the list of arguments the type of the constructor that may be *)
+(* found in head position must be applied to. *)
+and guarded_by_constructors ~subst context n nn h te args coInductiveTypeURI =
let module C = Cic in
- function
- C.Rel m when m > n && m <= nn -> h = 1
- | C.Rel _
- | C.Var _
+ (*CSC: There is a lot of code replication between the cases X and *)
+ (*CSC: (C.Appl X tl). Maybe it will be better to define a function *)
+ (*CSC: that maps X into (C.Appl X []) when X is not already a C.Appl *)
+ match CicReduction.whd ~subst context te with
+ C.Rel m when m > n && m <= nn -> h
+ | C.Rel _ -> true
| C.Meta _
| C.Sort _
- | C.Implicit -> true (*CSC: ma alcuni sono impossibili!!!! vedi Prod *)
- | C.Cast (te,ty) ->
- guarded_by_constructors n nn h te &&
- guarded_by_constructors n nn h ty
- | C.Prod (_,so,de) ->
- raise (Impossible 17) (* the term has just been type-checked *)
- | C.Lambda (_,so,de) ->
- does_not_occur n nn so &&
- guarded_by_constructors (n + 1) (nn + 1) h de
- | C.LetIn (_,so,de) ->
- does_not_occur n nn so &&
- guarded_by_constructors (n + 1) (nn + 1) h de
+ | C.Implicit _
+ | C.Cast _
+ | C.Prod _
+ | C.LetIn _ ->
+ (* the term has just been type-checked *)
+ raise (AssertFailure (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
| C.Appl ((C.Rel m)::tl) when m > n && m <= nn ->
- h = 1 &&
- List.fold_right (fun x i -> i && does_not_occur n nn x) tl true
- | C.Appl ((C.MutConstruct (uri,cookingsno,i,j))::tl) ->
- let (is_coinductive, rl) =
- match CicEnvironment.get_cooked_obj uri cookingsno with
- C.InductiveDefinition (itl,_,_) ->
- let (_,is_inductive,_,cl) = List.nth itl i in
- let (_,cons,rrec_args) = List.nth cl (j - 1) in
- (match !rrec_args with
- None -> raise (Impossible 18)
- | Some rec_args -> (not is_inductive, rec_args)
- )
+ 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 (WrongUriToMutualInductiveDefinitions
- (UriManager.string_of_uri uri))
+ raise (TypeCheckerFailure
+ (lazy ("Unknown mutual inductive definition:" ^ UriManager.string_of_uri uri)))
in
- is_coinductive &&
- List.fold_right
- (fun (x,r) i ->
- i &&
- if r then
- guarded_by_constructors n nn 1 x
- else
- does_not_occur n nn x
- ) (List.combine tl rl) true
+ let rec analyse_branch context ty te =
+ match CicReduction.whd ~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,_,_))::_) as ty
+ when uri == coInductiveTypeURI ->
+ guarded_by_constructors ~subst context n nn true te []
+ coInductiveTypeURI
+ | C.Appl ((C.MutInd (uri,_,_))::_) as ty ->
+ 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 *)
+ 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 n nn x) l true
- | C.Const _
- | C.Abst _
- | C.MutInd _
- | C.MutConstruct _ -> true (*CSC: ma alcuni sono impossibili!!!! vedi Prod *)
- | C.MutCase (_,_,_,out,te,pl) ->
- let rec returns_a_coinductive =
- function
- (*CSC: per le regole di tipaggio, la chiamata ricorsiva verra' *)
- (*CSC: effettata solo una volta, per mangiarsi l'astrazione *)
- (*CSC: non dummy *)
- C.Lambda (_,_,de) -> returns_a_coinductive de
- | C.MutInd (uri,_,i) ->
- (*CSC: definire una funzioncina per questo codice sempre replicato *)
- (match CicEnvironment.get_obj uri with
- C.InductiveDefinition (itl,_,_) ->
- let (_,is_inductive,_,_) = List.nth itl i in
- not is_inductive
- | _ ->
- raise (WrongUriToMutualInductiveDefinitions
- (UriManager.string_of_uri uri))
- )
- (*CSC: bug nella prossima riga (manca la whd) *)
- | C.Appl ((C.MutInd (uri,_,i))::_) ->
- (match CicEnvironment.get_obj uri with
- C.InductiveDefinition (itl,_,_) ->
- let (_,is_inductive,_,_) = List.nth itl i in
- not is_inductive
- | _ ->
- raise (WrongUriToMutualInductiveDefinitions
- (UriManager.string_of_uri uri))
- )
- | _ -> false
- in
- does_not_occur n nn out &&
- does_not_occur n nn te &&
- if returns_a_coinductive out then
+ List.fold_right (fun x i -> i && does_not_occur ~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) ->
+ 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 n nn h x) pl true
- else
- List.fold_right (fun x i -> i && does_not_occur n nn x) pl true
+ (fun x i ->
+ i &&
+ guarded_by_constructors ~subst context n nn h x args
+ coInductiveTypeURI
+ ) pl true
| C.Fix (_,fl) ->
let len = List.length fl in
let n_plus_len = n + len
- and nn_plus_len = nn + len in
+ and nn_plus_len = nn + len
+ (*CSC: Is a Decl of the ty ok or should I use Def of a Fix? *)
+ and tys = List.map (fun (n,_,ty,_)-> Some (C.Name n,(C.Decl ty))) fl in
List.fold_right
(fun (_,_,ty,bo) i ->
- i && does_not_occur n_plus_len nn_plus_len ty &&
- does_not_occur n_plus_len nn_plus_len bo
+ i && does_not_occur ~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
let n_plus_len = n + len
- and nn_plus_len = nn + len in
+ and nn_plus_len = nn + len
+ (*CSC: Is a Decl of the ty ok or should I use Def of a Fix? *)
+ and tys = List.map (fun (n,ty,_) -> Some (C.Name n,(C.Decl ty))) fl in
List.fold_right
(fun (_,ty,bo) i ->
- i && does_not_occur n_plus_len nn_plus_len ty &&
- does_not_occur n_plus_len nn_plus_len bo
+ i && does_not_occur ~subst context n nn ty &&
+ guarded_by_constructors ~subst (tys@context) n_plus_len nn_plus_len
+ h bo
+ args coInductiveTypeURI
) fl true
-and check_allowed_sort_elimination uri i need_dummy ind arity1 arity2 =
+and check_allowed_sort_elimination ~subst ~metasenv ~logger context uri i
+ need_dummy ind arity1 arity2 ugraph =
let module C = Cic in
let module U = UriManager in
- match (CicReduction.whd arity1, CicReduction.whd arity2) with
- (C.Prod (_,so1,de1), C.Prod (_,so2,de2))
- when CicReduction.are_convertible so1 so2 ->
- check_allowed_sort_elimination uri i need_dummy
- (C.Appl [CicSubstitution.lift 1 ind ; C.Rel 1]) de1 de2
- | (C.Sort C.Prop, C.Sort C.Prop) when need_dummy -> true
- | (C.Sort C.Prop, C.Sort C.Set) when need_dummy ->
- (match CicEnvironment.get_obj uri with
- C.InductiveDefinition (itl,_,_) ->
- let (_,_,_,cl) = List.nth itl i in
- (* is a singleton definition? *)
- List.length cl = 1
+ 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)) ->
+ 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
+ need_dummy (C.Appl [CicSubstitution.lift 1 ind ; C.Rel 1]) de1 de2
+ ugraph1
+ else
+ 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
+ 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.Type _) ) when need_dummy ->
+ (let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
+ match o with
+ C.InductiveDefinition (itl,_,paramsno,_) ->
+ let itl_len = List.length itl in
+ let (name,_,ty,cl) = List.nth itl i in
+ let cl_len = List.length cl in
+ if (cl_len = 0 || (itl_len = 1 && cl_len = 1)) then
+ 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
+ in
+ (* is it a singleton or empty non recursive and non informative
+ definition? *)
+ non_informative, ugraph
+ else
+ false,ugraph
| _ ->
- raise (WrongUriToMutualInductiveDefinitions (U.string_of_uri uri))
+ raise (TypeCheckerFailure
+ (lazy ("Unknown mutual inductive definition:" ^
+ UriManager.string_of_uri uri)))
)
- | (C.Sort C.Set, C.Sort C.Prop) when need_dummy -> true
- | (C.Sort C.Set, C.Sort C.Set) when need_dummy -> true
- | (C.Sort C.Set, C.Sort C.Type) when need_dummy ->
- (match CicEnvironment.get_obj uri with
- C.InductiveDefinition (itl,_,paramsno) ->
- let (_,_,_,cl) = List.nth itl i in
- List.fold_right (fun (_,x,_) i -> i && is_small paramsno x) cl true
- | _ ->
- raise (WrongUriToMutualInductiveDefinitions (U.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 _)))
+ when need_dummy ->
+ (let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
+ match o with
+ C.InductiveDefinition (itl,_,paramsno,_) ->
+ let tys =
+ List.map (fun (n,_,ty,_) -> Some (Cic.Name n,(Cic.Decl ty))) itl
+ in
+ let (_,_,_,cl) = List.nth itl i in
+ (List.fold_right
+ (fun (_,x) (i,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
- | (C.Sort C.Prop, C.Prod (_,so,ta)) when not need_dummy ->
- let res = CicReduction.are_convertible so ind
- in
- res &&
- (match CicReduction.whd ta with
- C.Sort C.Prop -> true
- | C.Sort C.Set ->
- (match CicEnvironment.get_obj uri with
- C.InductiveDefinition (itl,_,_) ->
- let (_,_,_,cl) = List.nth itl i in
- (* is a singleton definition? *)
- List.length cl = 1
- | _ ->
- raise (WrongUriToMutualInductiveDefinitions
- (U.string_of_uri uri))
- )
- | _ -> false
- )
- | (C.Sort C.Set, C.Prod (_,so,ta)) when not need_dummy ->
- let res = CicReduction.are_convertible so ind
- in
- res &&
- (match CicReduction.whd ta with
- C.Sort C.Prop
- | C.Sort C.Set -> true
- | C.Sort C.Type ->
- (match CicEnvironment.get_obj uri with
- C.InductiveDefinition (itl,_,paramsno) ->
- let (_,_,_,cl) = List.nth itl i in
- List.fold_right
- (fun (_,x,_) i -> i && is_small paramsno x) cl true
- | _ ->
- raise (WrongUriToMutualInductiveDefinitions
- (U.string_of_uri uri))
- )
- | _ -> raise (Impossible 19)
- )
- | (C.Sort C.Type, C.Prod (_,so,_)) when not need_dummy ->
- CicReduction.are_convertible so ind
- | (_,_) -> false
-
-and type_of_branch argsno need_dummy outtype term constype =
+ | (C.Sort (C.Type _), 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
- match R.whd constype with
+ match R.whd ~subst context constype with
C.MutInd (_,_,_) ->
if need_dummy then
outtype
@@ -978,302 +1374,790 @@ and type_of_branch argsno need_dummy outtype term constype =
else
C.Appl (outtype::arguments@(if need_dummy then [] else [term]))
| C.Prod (name,so,de) ->
- C.Prod (C.Name "pippo",so,type_of_branch argsno need_dummy
- (CicSubstitution.lift 1 outtype)
- (C.Appl [CicSubstitution.lift 1 term ; C.Rel 1]) de)
- | _ -> raise (Impossible 20)
-
-
-(* type_of_aux' is just another name (with a different scope) for type_of_aux *)
-and type_of_aux' env t =
- let rec type_of_aux env =
+ let term' =
+ match CicSubstitution.lift 1 term with
+ C.Appl l -> C.Appl (l@[C.Rel 1])
+ | t -> C.Appl [t ; C.Rel 1]
+ in
+ C.Prod (C.Anonymous,so,type_of_branch ~subst
+ ((Some (name,(C.Decl so)))::context) argsno need_dummy
+ (CicSubstitution.lift 1 outtype) term' de)
+ | _ -> 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 -
+with the actual context *)
+
+
+and check_metasenv_consistency ~logger ~subst metasenv context
+ canonical_context l ugraph
+=
+ let module C = Cic in
+ let module R = CicReduction in
+ let module S = CicSubstitution in
+ let lifted_canonical_context =
+ let rec aux i =
+ function
+ [] -> []
+ | (Some (n,C.Decl t))::tl ->
+ (Some (n,C.Decl (S.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)
+ in
+ aux 1 canonical_context
+ in
+ List.fold_left2
+ (fun ugraph t ct ->
+ 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
+ | 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
+ 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
+ | None, _ ->
+ raise (TypeCheckerFailure
+ (lazy ("Not well typed metavariable local context: "^
+ "an hypothesis, that is not hidden, is not instantiated")))
+ ) ugraph l lifted_canonical_context
+
+
+(*
+ type_of_aux' is just another name (with a different scope)
+ for type_of_aux
+*)
+
+and type_of_aux' ~logger ?(subst = []) metasenv context t ugraph =
+ let rec type_of_aux ~logger context t ugraph =
let module C = Cic in
let module R = CicReduction in
let module S = CicSubstitution in
let module U = UriManager in
- function
+ match t with
C.Rel n ->
- let t =
- try
- List.nth env (n - 1)
+ (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
+ | None -> raise
+ (TypeCheckerFailure (lazy "Reference to deleted hypothesis"))
with
- _ -> raise (NotWellTyped "Not a close term")
- in
- S.lift n t
- | C.Var uri ->
+ _ ->
+ raise (TypeCheckerFailure (lazy "unbound variable"))
+ )
+ | C.Var (uri,exp_named_subst) ->
incr fdebug ;
- let ty = type_of_variable uri in
- decr fdebug ;
- ty
- | C.Meta n -> raise NotImplemented
- | C.Sort s -> C.Sort C.Type (*CSC manca la gestione degli universi!!! *)
- | C.Implicit -> raise (Impossible 21)
- | C.Cast (te,ty) ->
- let _ = type_of ty in
- if R.are_convertible (type_of_aux env te) ty then ty
- else raise (NotWellTyped "Cast")
- | C.Prod (_,s,t) ->
- let sort1 = type_of_aux env s
- and sort2 = type_of_aux (s::env) t in
- sort_of_prod (sort1,sort2)
+ 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
+ | 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
+ (* 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
+ let ugraph1 =
+ check_metasenv_consistency ~logger
+ ~subst metasenv context canonical_context l ugraph
+ in
+ ((CicSubstitution.subst_meta l ty),ugraph1))
+ (* TASSI: CONSTRAINTS *)
+ | 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"))
+ | 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
+ in
+ if b then
+ ty,ugraph3
+ else
+ raise (TypeCheckerFailure
+ (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
+ in
+ sort_of_prod ~subst context (name,s) (sort1,sort2) ugraph2
| C.Lambda (n,s,t) ->
- let sort1 = type_of_aux env s
- and type2 = type_of_aux (s::env) t in
- let sort2 = type_of_aux (s::env) type2 in
- (* only to check if the product is well-typed *)
- let _ = sort_of_prod (sort1,sort2) in
- C.Prod (n,s,type2)
+ let sort1,ugraph1 = type_of_aux ~logger context s ugraph in
+ (match R.whd ~subst context sort1 with
+ C.Meta _
+ | C.Sort _ -> ()
+ | _ ->
+ raise
+ (TypeCheckerFailure (lazy (sprintf
+ "Not well-typed lambda-abstraction: the source %s should be a type; instead it is a term of type %s" (CicPp.ppterm s)
+ (CicPp.ppterm sort1))))
+ ) ;
+ let type2,ugraph2 =
+ type_of_aux ~logger ((Some (n,(C.Decl s)))::context) t ugraph1
+ in
+ (C.Prod (n,s,type2)),ugraph2
| C.LetIn (n,s,t) ->
- let type1 = type_of_aux env s in
- let type2 = type_of_aux (type1::env) t in
- type2
+ (* only to check if s is well-typed *)
+ let ty,ugraph1 = type_of_aux ~logger context s ugraph in
+ (* The type of a LetIn is a LetIn. Extremely slow since the computed
+ LetIn is later reduced and maybe also re-checked.
+ (C.LetIn (n,s, type_of_aux ((Some (n,(C.Def s)))::context) t))
+ *)
+ (* The type of the LetIn is reduced. Much faster than the previous
+ solution. Moreover the inferred type is probably very different
+ from the expected one.
+ (CicReduction.whd ~subst context
+ (C.LetIn (n,s, type_of_aux ((Some (n,(C.Def s)))::context) t)))
+ *)
+ (* One-step LetIn reduction. Even faster than the previous solution.
+ Moreover the inferred type is closer to the expected one. *)
+ let ty1,ugraph2 =
+ type_of_aux ~logger
+ ((Some (n,(C.Def (s,Some ty))))::context) t ugraph1
+ in
+ (CicSubstitution.subst s ty1),ugraph2
| C.Appl (he::tl) when List.length tl > 0 ->
- let hetype = type_of_aux env he
- and tlbody_and_type = List.map (fun x -> (x, type_of_aux env x)) tl in
- eat_prods hetype tlbody_and_type
- | C.Appl _ -> raise (NotWellTyped "Appl: no arguments")
- | C.Const (uri,cookingsno) ->
- incr fdebug ;
- let cty = cooked_type_of_constant uri cookingsno in
- decr fdebug ;
- cty
- | C.Abst _ -> raise (Impossible 22)
- | C.MutInd (uri,cookingsno,i) ->
+ 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)
+ 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
+ | 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
+ in
+ let cty,ugraph2 = type_of_constant ~logger uri ugraph1 in
+ let cty1 =
+ CicSubstitution.subst_vars exp_named_subst cty
+ in
+ decr fdebug ;
+ cty1,ugraph2
+ | C.MutInd (uri,i,exp_named_subst) ->
incr fdebug ;
- let cty = cooked_type_of_mutual_inductive_defs uri cookingsno i in
- decr fdebug ;
- cty
- | C.MutConstruct (uri,cookingsno,i,j) ->
- let cty = cooked_type_of_mutual_inductive_constr uri cookingsno i j
- in
- cty
- | C.MutCase (uri,cookingsno,i,outtype,term,pl) ->
- let outsort = type_of_aux env outtype in
- let (need_dummy, k) =
- let rec guess_args t =
- match CicReduction.whd t with
- C.Sort _ -> (true, 0)
- | C.Prod (_, s, t) ->
- let (b, n) = guess_args t in
- if n = 0 then
- (* last prod before sort *)
- match CicReduction.whd s with
- (*CSC vedi nota delirante su cookingsno in cicReduction.ml *)
- C.MutInd (uri',_,i') when U.eq uri' uri && i' = i -> (false, 1)
- | C.Appl ((C.MutInd (uri',_,i')) :: _)
- when U.eq uri' uri && i' = i -> (false, 1)
- | _ -> (true, 1)
- else
- (b, n + 1)
- | _ -> raise (NotWellTyped "MutCase: outtype ill-formed")
+ let ugraph1 =
+ check_exp_named_subst ~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
+ in
+ 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
in
- (*CSC whd non serve dopo type_of_aux ? *)
- let (b, k) = guess_args outsort in
- if not b then (b, k - 1) else (b, k)
+ (* TASSI: idem come sopra *)
+ let mty,ugraph2 =
+ type_of_mutual_inductive_constr ~logger uri i j ugraph1
+ in
+ let cty =
+ CicSubstitution.subst_vars exp_named_subst mty
+ in
+ cty,ugraph2
+ | C.MutCase (uri,i,outtype,term,pl) ->
+ let outsort,ugraph1 = type_of_aux ~logger context outtype ugraph in
+ let (need_dummy, k) =
+ let rec guess_args context t =
+ let outtype = CicReduction.whd ~subst context t in
+ 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
+(*CSC: for _ see comment below about the missing named_exp_subst ?????????? *)
+ C.MutInd (uri',i',_) when U.eq uri' uri && i' = i ->
+ (false, 1)
+(*CSC: for _ see comment below about the missing named_exp_subst ?????????? *)
+ | C.Appl ((C.MutInd (uri',i',_)) :: _)
+ when U.eq uri' uri && i' = i -> (false, 1)
+ | _ -> (true, 1)
+ else
+ (b, n + 1)
+ | _ ->
+ raise
+ (TypeCheckerFailure
+ (lazy (sprintf
+ "Malformed case analasys' output type %s"
+ (CicPp.ppterm outtype))))
in
- let (parameters, arguments) =
- match R.whd (type_of_aux env term) with
+(*
+ let (parameters, arguments, exp_named_subst),ugraph2 =
+ let ty,ugraph2 = type_of_aux context term ugraph1 in
+ match R.whd ~subst context ty with
(*CSC manca il caso dei CAST *)
- C.MutInd (uri',_,i') ->
- (*CSC vedi nota delirante sui cookingsno in cicReduction.ml*)
- if U.eq uri uri' && i = i' then ([],[])
- else raise (NotWellTyped ("MutCase: the term is of type " ^
- (U.string_of_uri uri') ^ "," ^ string_of_int i' ^
- " instead of type " ^ (U.string_of_uri uri') ^ "," ^
- string_of_int i))
- | C.Appl (C.MutInd (uri',_,i') :: tl) ->
- if U.eq uri uri' && i = i' then split tl (List.length tl - k)
- else raise (NotWellTyped ("MutCase: the term is of type " ^
- (U.string_of_uri uri') ^ "," ^ string_of_int i' ^
- " instead of type " ^ (U.string_of_uri uri) ^ "," ^
- string_of_int i))
- | _ -> raise (NotWellTyped "MutCase: the term is not an inductive one")
+(*CSC: ma servono i parametri (uri,i)? Se si', perche' non serve anche il *)
+(*CSC: parametro exp_named_subst? Se no, perche' non li togliamo? *)
+(*CSC: Hint: nella DTD servono per gli stylesheet. *)
+ C.MutInd (uri',i',exp_named_subst) as typ ->
+ if U.eq uri uri' && i = i' then
+ ([],[],exp_named_subst),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)))
+ | _ ->
+ 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
+ let (parameters, arguments, exp_named_subst),ugraph2 =
+ 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
+ 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)))
+ | 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 (%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"
+ (CicPp.ppterm term))))
in
- (* let's control if the sort elimination is allowed: [(I q1 ... qr)|B] *)
- let sort_of_ind_type =
+ (*
+ let's control if the sort elimination is allowed:
+ [(I q1 ... qr)|B]
+ *)
+ let sort_of_ind_type =
if parameters = [] then
- C.MutInd (uri,cookingsno,i)
+ C.MutInd (uri,i,exp_named_subst)
else
- C.Appl ((C.MutInd (uri,cookingsno,i))::parameters)
- in
- if not (check_allowed_sort_elimination uri i need_dummy
- sort_of_ind_type (type_of_aux env sort_of_ind_type) outsort)
- then
- raise (NotWellTyped "MutCase: not allowed sort elimination") ;
-
+ 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
+ let b,ugraph4 =
+ 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
+ raise
+ (TypeCheckerFailure (lazy ("Case analasys: sort elimination not allowed")));
(* let's check if the type of branches are right *)
- let (cl,parsno) =
- match CicEnvironment.get_cooked_obj uri cookingsno with
- C.InductiveDefinition (tl,_,parsno) ->
- let (_,_,_,cl) = List.nth tl i in (cl,parsno)
- | _ ->
- raise (WrongUriToMutualInductiveDefinitions (U.string_of_uri uri))
+ let parsno =
+ let obj,_ =
+ try
+ CicEnvironment.get_cooked_obj ~trust:false CicUniv.empty_ugraph uri
+ with Not_found -> assert false
in
- let (_,branches_ok) =
- List.fold_left
- (fun (j,b) (p,(_,c,_)) ->
- let cons =
- if parameters = [] then
- (C.MutConstruct (uri,cookingsno,i,j))
- else
- (C.Appl (C.MutConstruct (uri,cookingsno,i,j)::parameters))
- in
- (j + 1, b &&
- R.are_convertible (type_of_aux env p)
- (type_of_branch parsno need_dummy outtype cons
- (type_of_aux env cons))
- )
- ) (1,true) (List.combine pl cl)
+ match obj with
+ C.InductiveDefinition (_,_,parsno,_) -> parsno
+ | _ ->
+ raise (TypeCheckerFailure
+ (lazy ("Unknown mutual inductive definition:" ^
+ UriManager.string_of_uri uri)))
+ in
+ let (_,branches_ok,ugraph5) =
+ List.fold_left
+ (fun (j,b,ugraph) p ->
+ 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))
+ 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)
+ ) (1,true,ugraph4) pl
in
if not branches_ok then
- raise (NotWellTyped "MutCase: wrong type of a branch") ;
-
- if not need_dummy then
- C.Appl ((outtype::arguments)@[term])
- else if arguments = [] then
- outtype
- else
- C.Appl (outtype::arguments)
+ raise
+ (TypeCheckerFailure (lazy "Case analysys: wrong branch type"));
+ let arguments' =
+ if not need_dummy then outtype::arguments@[term]
+ else outtype::arguments in
+ let outtype =
+ if need_dummy && arguments = [] then outtype
+ else CicReduction.head_beta_reduce (C.Appl arguments')
+ in
+ outtype,ugraph5
| C.Fix (i,fl) ->
- let types_times_kl =
- List.rev
- (List.map (fun (_,k,ty,_) -> let _ = type_of_aux env ty in (ty,k)) fl)
+ let types_times_kl,ugraph1 =
+ (* WAS: list rev list map *)
+ List.fold_left
+ (fun (l,ugraph) (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
in
let (types,kl) = List.split types_times_kl in
- let len = List.length types in
- List.iter
- (fun (name,x,ty,bo) ->
- if (R.are_convertible (type_of_aux (types @ env) bo)
- (CicSubstitution.lift len ty))
- then
- begin
- let (m, eaten) = eat_lambdas (x + 1) bo in
- (*let's control the guarded by destructors conditions D{f,k,x,M}*)
- if not (guarded_by_destructors eaten (len + eaten) kl 1 [] m) then
- raise (NotWellTyped "Fix: not guarded by destructors")
- end
- else
- raise (NotWellTyped "Fix: ill-typed bodies")
- ) fl ;
-
- (*CSC: controlli mancanti solo su D{f,k,x,M} *)
- let (_,_,ty,_) = List.nth fl i in
- ty
+ let len = List.length types in
+ let ugraph2 =
+ 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
+ else
+ raise (TypeCheckerFailure (lazy ("Fix: ill-typed bodies")))
+ ) ugraph1 fl in
+ (*CSC: controlli mancanti solo su D{f,k,x,M} *)
+ let (_,_,ty,_) = List.nth fl i in
+ ty,ugraph2
| C.CoFix (i,fl) ->
- let types =
- List.rev (List.map (fun (_,ty,_) -> let _ = type_of_aux env ty in ty) fl)
- in
+ let types,ugraph1 =
+ List.fold_left
+ (fun (l,ugraph) (n,ty,_) ->
+ let _,ugraph1 =
+ type_of_aux ~logger context ty ugraph in
+ (Some (C.Name n,(C.Decl ty))::l,ugraph1)
+ ) ([],ugraph) fl
+ in
let len = List.length types in
- List.iter
- (fun (_,ty,bo) ->
- if (R.are_convertible (type_of_aux (types @ env) bo)
- (CicSubstitution.lift len ty))
- then
- begin
- (* let's control the guarded by constructors conditions C{f,M} *)
- if not (guarded_by_constructors 0 len 0 bo) then
- raise (NotWellTyped "CoFix: not guarded by constructors")
- end
- else
- raise (NotWellTyped "CoFix: ill-typed bodies")
- ) fl ;
-
- let (_,ty,_) = List.nth fl i in
- ty
+ let ugraph2 =
+ 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"))
+ ) ugraph1 fl
+ in
+ let (_,ty,_) = List.nth fl i in
+ ty,ugraph2
- and sort_of_prod (t1, t2) =
+ and check_exp_named_subst ~logger ~subst context ugraph =
+ let rec check_exp_named_subst_aux ~logger esubsts l ugraph =
+ match l with
+ [] -> ugraph
+ | ((uri,t) as item)::tl ->
+ 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 =
+ CicReduction.are_convertible ~subst ~metasenv
+ 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"))
+ end
+ in
+ check_exp_named_subst_aux ~logger [] ugraph
+
+ and sort_of_prod ~subst context (name,s) (t1, t2) ugraph =
let module C = Cic in
- let t1' = CicReduction.whd t1 in
- let t2' = CicReduction.whd t2 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) -> (* different from Coq manual!!! *)
- C.Sort s2
- | (C.Sort s1, C.Sort s2) -> C.Sort C.Type (*CSC manca la gestione degli universi!!! *)
- | (_,_) ->
- raise
- (NotWellTyped
- ("Prod: sort1= " ^ CicPp.ppterm t1' ^ " ; sort2= " ^ CicPp.ppterm t2'))
+ when (s2 = C.Prop or s2 = C.Set or s2 = C.CProp) ->
+ (* 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 *)
+ 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? *)
+ | (C.Meta _, C.Sort _) -> t2',ugraph
+ | (C.Meta _, (C.Meta (_,_) as t))
+ | (C.Sort _, (C.Meta (_,_) as t)) when CicUtil.is_closed t ->
+ t2',ugraph
+ | (_,_) -> raise (TypeCheckerFailure (lazy (sprintf
+ "Prod: expected two sorts, found = %s, %s" (CicPp.ppterm t1')
+ (CicPp.ppterm t2'))))
+
+ and eat_prods ~subst context hetype l ugraph =
+ (*CSC: siamo sicuri che le are_convertible non lavorino con termini non *)
+ (*CSC: cucinati *)
+ match l with
+ [] -> hetype,ugraph
+ | (hete, hety)::tl ->
+ (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"))
+ )
+
+ and returns_a_coinductive ~subst context ty =
+ let module C = Cic in
+ match CicReduction.whd ~subst context ty with
+ C.MutInd (uri,i,_) ->
+ (*CSC: definire una funzioncina per questo codice sempre replicato *)
+ 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 (_,is_inductive,_,_) = List.nth itl i in
+ if is_inductive then None else (Some uri)
+ | _ ->
+ raise (TypeCheckerFailure
+ (lazy ("Unknown mutual inductive definition:" ^
+ UriManager.string_of_uri uri)))
+ )
+ | C.Appl ((C.MutInd (uri,i,_))::_) ->
+ (let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
+ match o with
+ C.InductiveDefinition (itl,_,_,_) ->
+ let (_,is_inductive,_,_) = List.nth itl i in
+ if is_inductive then None else (Some uri)
+ | _ ->
+ raise (TypeCheckerFailure
+ (lazy ("Unknown mutual inductive definition:" ^
+ UriManager.string_of_uri uri)))
+ )
+ | C.Prod (n,so,de) ->
+ returns_a_coinductive ~subst ((Some (n,C.Decl so))::context) de
+ | _ -> None
- and eat_prods hetype =
- (*CSC: siamo sicuri che le are_convertible non lavorino con termini non *)
- (*CSC: cucinati *)
- function
- [] -> hetype
- | (hete, hety)::tl ->
- (match (CicReduction.whd hetype) with
- Cic.Prod (n,s,t) ->
- if CicReduction.are_convertible s hety then
- (CicReduction.fdebug := -1 ;
- eat_prods (CicSubstitution.subst hete t) tl
- )
- else
- begin
- CicReduction.fdebug := 0 ;
- ignore (CicReduction.are_convertible s hety) ;
- fdebug := 0 ;
- debug s [hety] ;
- raise (NotWellTyped "Appl: wrong parameter-type")
- end
- | _ -> raise (NotWellTyped "Appl: wrong Prod-type")
- )
in
- type_of_aux env t
+(*CSC
+debug_print (lazy ("INIZIO TYPE_OF_AUX " ^ CicPp.ppterm t)) ; flush stderr ;
+let res =
+*)
+ type_of_aux ~logger context t ugraph
+(*
+in debug_print (lazy "FINE TYPE_OF_AUX") ; flush stderr ; res
+*)
(* is a small constructor? *)
(*CSC: ottimizzare calcolando staticamente *)
-and is_small paramsno c =
- let rec is_small_aux env c =
+and is_small_or_non_informative ~condition ~logger context paramsno c ugraph =
+ let rec is_small_or_non_informative_aux ~logger context c ugraph =
let module C = Cic in
- match CicReduction.whd c with
- C.Prod (_,so,de) ->
- let s = type_of_aux' env so in
- (s = C.Sort C.Prop || s = C.Sort C.Set) &&
- is_small_aux (so::env) de
- | _ -> true (*CSC: we trust the type-checker *)
+ match CicReduction.whd context c with
+ C.Prod (n,so,de) ->
+ let s,ugraph1 = type_of_aux' ~logger [] context so ugraph in
+ let b = condition s in
+ if b then
+ is_small_or_non_informative_aux
+ ~logger ((Some (n,(C.Decl so)))::context) de ugraph1
+ else
+ false,ugraph1
+ | _ -> true,ugraph (*CSC: we trust the type-checker *)
in
- let (sx,dx) = split_prods paramsno c in
- is_small_aux (List.rev sx) dx
+ let (context',dx) = split_prods ~subst:[] context paramsno c in
+ is_small_or_non_informative_aux ~logger context' dx ugraph
+
+and is_small ~logger =
+ is_small_or_non_informative
+ ~condition:(fun s -> s=Cic.Sort Cic.Prop || s=Cic.Sort Cic.Set)
+ ~logger
+
+and is_non_informative ~logger =
+ is_small_or_non_informative
+ ~condition:(fun s -> s=Cic.Sort Cic.Prop)
+ ~logger
-and type_of t =
- type_of_aux' [] t
+and type_of ~logger t ugraph =
+(*CSC
+debug_print (lazy ("INIZIO TYPE_OF_AUX' " ^ CicPp.ppterm t)) ; flush stderr ;
+let res =
+*)
+ type_of_aux' ~logger [] [] t ugraph
+(*CSC
+in debug_print (lazy "FINE TYPE_OF_AUX'") ; flush stderr ; res
+*)
;;
+let typecheck_obj0 ~logger uri 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"))
+ 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
+ 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
+
let typecheck uri =
let module C = Cic in
let module R = CicReduction in
let module U = UriManager in
- match CicEnvironment.is_type_checked uri 0 with
- CicEnvironment.CheckedObj _ -> ()
+ 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 ->
(* let's typecheck the uncooked object *)
- log (`Start_type_checking uri) ;
- (match uobj with
- C.Definition (_,te,ty,_) ->
- let _ = type_of ty in
- if not (R.are_convertible (type_of te ) ty) then
- raise (NotWellTyped ("Constant " ^ (U.string_of_uri uri)))
- | C.Axiom (_,ty,_) ->
- (* only to check that ty is well-typed *)
- let _ = type_of ty in ()
- | C.CurrentProof (_,_,te,ty) ->
- (*CSC [] wrong *)
- let _ = type_of ty in
- debug (type_of te) [] ;
- if not (R.are_convertible (type_of te) ty) then
- raise (NotWellTyped ("CurrentProof" ^ (U.string_of_uri uri)))
- | C.Variable (_,bo,ty) ->
- (* only to check that ty is well-typed *)
- let _ = type_of ty in
- (match bo with
- None -> ()
- | Some bo ->
- if not (R.are_convertible (type_of bo) ty) then
- raise (NotWellTyped ("Variable" ^ (U.string_of_uri uri)))
- )
- | C.InductiveDefinition _ ->
- cooked_mutual_inductive_defs uri uobj
- ) ;
- CicEnvironment.set_type_checking_info uri ;
- log (`Type_checking_completed uri)
+ 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 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)
+
+(** wrappers which instantiate fresh loggers *)
+
+let type_of_aux' ?(subst = []) metasenv context t ugraph =
+ let logger = new CicLogger.logger in
+ type_of_aux' ~logger ~subst metasenv context t ugraph
+
+let typecheck_obj uri obj =
+ let logger = new CicLogger.logger in
+ typecheck_obj ~logger uri obj
+
+(* check_allowed_sort_elimination uri i s1 s2
+ This function is used outside the kernel to determine in advance whether
+ a MutCase will be allowed or not.
+ [uri,i] is the type of the term to match
+ [s1] is the sort of the term to eliminate (i.e. the head of the arity
+ of the inductive type [uri,i])
+ [s2] is the sort of the goal (i.e. the head of the type of the outtype
+ of the MutCase) *)
+let check_allowed_sort_elimination uri i s1 s2 =
+ fst (check_allowed_sort_elimination ~subst:[] ~metasenv:[]
+ ~logger:(new CicLogger.logger) [] uri i true
+ (Cic.Implicit None) (* never used *) (Cic.Sort s1) (Cic.Sort s2)
+ CicUniv.empty_ugraph)