open Printf
+exception RefineFailure of string;;
+
exception Impossible of int;;
exception NotRefinable of string;;
exception Uncertain of string;;
exception ListTooShort;;
exception WrongUriToMutualInductiveDefinitions of string;;
exception RelToHiddenHypothesis;;
-exception MetasenvInconsistency;;
exception WrongArgumentNumber;;
-let fdebug = ref 0;;
-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
- in
- if !fdebug = 0 then
- raise (NotRefinable ("\n" ^ List.fold_right debug_aux (t::context) ""))
- (*print_endline ("\n" ^ List.fold_right debug_aux (t::context) "") ; flush stdout*)
-;;
-
let debug_print = prerr_endline
+let fo_unif_subst subst context metasenv t1 t2 =
+ try
+ CicUnification.fo_unif_subst subst context metasenv t1 t2
+ with
+ (CicUnification.UnificationFailure msg) -> raise (RefineFailure msg)
+ | (CicUnification.Uncertain msg) -> raise (Uncertain msg)
+;;
+
let rec split l n =
match (l,n) with
(l,0) -> ([], l)
let module C = Cic in
let module R = CicMetaSubst in
let module Un = CicUnification in
- match R.whd metasenv subst context expectedtype with
+ match R.whd subst context expectedtype with
C.MutInd (_,_,_) ->
(n,context,actualtype, [term]), subst, metasenv
| C.Appl (C.MutInd (_,_,_)::tl) ->
| C.Prod (name,so,de) ->
(* we expect that the actual type of the branch has the due
number of Prod *)
- (match R.whd metasenv subst context actualtype with
+ (match R.whd subst context actualtype with
C.Prod (name',so',de') ->
let subst, metasenv =
- Un.fo_unif_subst subst context metasenv so so' in
+ fo_unif_subst subst context metasenv so so' in
let term' =
(match CicSubstitution.lift 1 term with
C.Appl l -> C.Appl (l@[C.Rel 1])
_ -> raise (NotRefinable "Not a close term")
)
| C.Var (uri,exp_named_subst) ->
- incr fdebug ;
let subst',metasenv' =
check_exp_named_subst subst metasenv context exp_named_subst in
let ty =
CicSubstitution.subst_vars exp_named_subst (type_of_variable uri)
in
- decr fdebug ;
ty,subst',metasenv'
| C.Meta (n,l) ->
let (_,canonical_context,ty) = CicUtil.lookup_meta n metasenv in
let subst',metasenv' =
- check_metasenv_consistency subst metasenv context canonical_context l
+ check_metasenv_consistency n subst metasenv context canonical_context l
in
- CicSubstitution.lift_meta l ty, subst', metasenv'
+ CicSubstitution.lift_meta l ty, subst', metasenv'
| C.Sort s ->
C.Sort C.Type, (*CSC manca la gestione degli universi!!! *)
subst,metasenv
- | C.Implicit -> raise (Impossible 21)
+ | C.Implicit _ -> raise (Impossible 21)
| C.Cast (te,ty) ->
let _,subst',metasenv' =
type_of_aux subst metasenv context ty in
in
(try
let subst''',metasenv''' =
- Un.fo_unif_subst subst'' context metasenv'' inferredty ty
+ fo_unif_subst subst'' context metasenv'' inferredty ty
in
ty,subst''',metasenv'''
with
sort_of_prod subst'' metasenv'' context (name,s) (sort1,sort2)
| C.Lambda (n,s,t) ->
let sort1,subst',metasenv' = type_of_aux subst metasenv context s in
+ (match CicMetaSubst.whd subst' context sort1 with
+ C.Meta _
+ | C.Sort _ -> ()
+ | _ ->
+ raise (NotRefinable (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,subst'',metasenv'' =
type_of_aux subst' metasenv' ((Some (n,(C.Decl s)))::context) t
in
- let sort2,subst''',metasenv''' =
- type_of_aux subst'' metasenv''((Some (n,(C.Decl s)))::context) type2
- in
- (* only to check if the product is well-typed *)
- let _,subst'''',metasenv'''' =
- sort_of_prod subst''' metasenv''' context (n,s) (sort1,sort2)
- in
- C.Prod (n,s,type2),subst'''',metasenv''''
+ C.Prod (n,s,type2),subst'',metasenv''
| C.LetIn (n,s,t) ->
(* only to check if s is well-typed *)
let ty,subst',metasenv' = type_of_aux subst metasenv context s in
eat_prods subst'' metasenv'' context hetype tlbody_and_type
| C.Appl _ -> raise (NotRefinable "Appl: no arguments")
| C.Const (uri,exp_named_subst) ->
- incr fdebug ;
let subst',metasenv' =
check_exp_named_subst subst metasenv context exp_named_subst in
let cty =
CicSubstitution.subst_vars exp_named_subst (type_of_constant uri)
in
- decr fdebug ;
cty,subst',metasenv'
| C.MutInd (uri,i,exp_named_subst) ->
- incr fdebug ;
let subst',metasenv' =
check_exp_named_subst subst metasenv context exp_named_subst in
let cty =
CicSubstitution.subst_vars exp_named_subst
(type_of_mutual_inductive_defs uri i)
in
- decr fdebug ;
cty,subst',metasenv'
| C.MutConstruct (uri,i,j,exp_named_subst) ->
let subst',metasenv' =
raise
(WrongUriToMutualInductiveDefinitions (U.string_of_uri uri)) in
let rec count_prod t =
- match CicMetaSubst.whd metasenv subst context t with
+ match CicMetaSubst.whd subst context t with
C.Prod (_, _, t) -> 1 + (count_prod t)
| _ -> 0 in
let no_args = count_prod arity in
let _, subst, metasenv =
type_of_aux subst metasenv context expected_type
in
- let actual_type = CicMetaSubst.whd metasenv subst context actual_type in
+ let actual_type = CicMetaSubst.whd subst context actual_type in
let subst,metasenv =
- Un.fo_unif_subst subst context metasenv expected_type actual_type
+ fo_unif_subst subst context metasenv expected_type actual_type
in
(* TODO: check if the sort elimination is allowed: [(I q1 ... qr)|B] *)
let (_,outtypeinstances,subst,metasenv) =
type_of_aux subst metasenv context appl
in
*)
- CicMetaSubst.whd metasenv subst context appl
+ CicMetaSubst.whd subst context appl
in
- Un.fo_unif_subst subst context metasenv instance instance')
+ fo_unif_subst subst context metasenv instance instance')
(subst,metasenv) outtypeinstances in
- CicMetaSubst.whd metasenv subst
+ CicMetaSubst.whd subst
context (C.Appl(outtype::right_args@[term])),subst,metasenv
| C.Fix (i,fl) ->
let subst,metasenv,types =
let ty_of_bo,subst,metasenv =
type_of_aux subst metasenv context' bo
in
- Un.fo_unif_subst subst context' metasenv
- ty_of_bo (CicMetaSubst.lift metasenv subst len ty)
+ fo_unif_subst subst context' metasenv
+ ty_of_bo (CicMetaSubst.lift subst len ty)
) (subst,metasenv) fl in
-
let (_,_,ty,_) = List.nth fl i in
ty,subst,metasenv
| C.CoFix (i,fl) ->
let ty_of_bo,subst,metasenv =
type_of_aux subst metasenv context' bo
in
- Un.fo_unif_subst subst context' metasenv
- ty_of_bo (CicMetaSubst.lift metasenv subst len ty)
+ fo_unif_subst subst context' metasenv
+ ty_of_bo (CicMetaSubst.lift subst len ty)
) (subst,metasenv) fl in
let (_,ty,_) = List.nth fl i in
(* 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 subst metasenv context canonical_context l =
+ and check_metasenv_consistency
+ metano subst metasenv context canonical_context l
+ =
let module C = Cic in
let module R = CicReduction in
let module S = CicSubstitution in
| (Some (n,C.Def (t,None)))::tl ->
(Some (n,C.Def ((S.lift_meta l (S.lift i t)),None)))::(aux (i+1) tl)
| None::tl -> None::(aux (i+1) tl)
- | (Some (_,C.Def (_,Some _)))::_ -> assert false
+ | (Some (n,C.Def (t,Some ty)))::tl ->
+ (Some (n,
+ C.Def ((S.lift_meta l (S.lift i t)),
+ Some (S.lift_meta l (S.lift i ty))))) :: (aux (i+1) tl)
in
aux 1 canonical_context
in
subst,metasenv
| Some t,Some (_,C.Def (ct,_)) ->
(try
- CicUnification.fo_unif_subst subst context metasenv t ct
- with _ -> raise MetasenvInconsistency)
+ fo_unif_subst subst context metasenv t ct
+ with e -> raise (NotRefinable (sprintf "The local context is not consistent with the canonical context, since %s cannot be unified with %s. Reason: %s" (CicMetaSubst.ppterm subst t) (CicMetaSubst.ppterm subst ct) (match e with CicUnification.AssertFailure msg -> msg | _ -> (Printexc.to_string e)))))
| Some t,Some (_,C.Decl ct) ->
let inferredty,subst',metasenv' =
type_of_aux subst metasenv context t
in
(try
- CicUnification.fo_unif_subst
+ fo_unif_subst
subst' context metasenv' inferredty ct
- with _ -> raise MetasenvInconsistency)
- | _, _ ->
- raise MetasenvInconsistency
+ with e -> raise (NotRefinable (sprintf "The local context is not consistent with the canonical context, since the type %s of %s cannot be unified with the expected type %s. Reason: %s" (CicMetaSubst.ppterm subst' inferredty) (CicMetaSubst.ppterm subst' t) (CicMetaSubst.ppterm subst' ct) (match e with CicUnification.AssertFailure msg -> msg | _ -> (Printexc.to_string e)))))
+ | None, Some _ ->
+ raise (NotRefinable (sprintf
+ "Not well typed metavariable instance %s: the local context does not instantiate an hypothesis even if the hypothesis is not restricted in the canonical context %s"
+ (CicMetaSubst.ppterm subst (Cic.Meta (metano, l)))
+ (CicMetaSubst.ppcontext subst canonical_context)))
) (subst,metasenv) l lifted_canonical_context
and check_exp_named_subst metasubst metasenv context =
in
try
let metasubst'',metasenv'' =
- CicUnification.fo_unif_subst
- metasubst' context metasenv' typeoft typeofvar
+ fo_unif_subst metasubst' context metasenv' typeoft typeofvar
in
check_exp_named_subst_aux metasubst'' metasenv'' (substs@[subst]) tl
with _ ->
and sort_of_prod subst metasenv context (name,s) (t1, t2) =
let module C = Cic in
- (* ti could be a metavariable in the domain of the substitution *)
- let subst',metasenv' = CicMetaSubst.unwind_subst metasenv subst in
- let t1' = CicMetaSubst.apply_subst subst' t1 in
- let t2' = CicMetaSubst.apply_subst subst' t2 in
- let t1'' = CicMetaSubst.whd metasenv subst' context t1' in
- let t2'' =
- CicMetaSubst.whd metasenv subst' ((Some (name,C.Decl s))::context) t2'
- in
+ let context_for_t2 = (Some (name,C.Decl s))::context in
+ let t1'' = CicMetaSubst.whd subst context t1 in
+ let t2'' = CicMetaSubst.whd subst context_for_t2 t2 in
match (t1'', t2'') with
(C.Sort s1, C.Sort s2)
- when (s2 = C.Prop or s2 = C.Set or s2 = C.CProp) -> (* different from Coq manual!!! *)
- C.Sort s2,subst',metasenv'
+ when (s2 = C.Prop or s2 = C.Set or s2 = C.CProp) -> (* different than Coq manual!!! *)
+ C.Sort s2,subst,metasenv
| (C.Sort s1, C.Sort s2) ->
(*CSC manca la gestione degli universi!!! *)
- C.Sort C.Type,subst',metasenv'
- | (C.Meta _,_) | (_,C.Meta _) ->
- let (metasenv', idx) = CicMkImplicit.mk_implicit metasenv context in
- let irl =
- CicMkImplicit.identity_relocation_list_for_metavariable context
+ C.Sort C.Type,subst,metasenv
+ | (C.Meta _, C.Sort _) -> t2'',subst,metasenv
+ | (C.Sort _,C.Meta _) | (C.Meta _,C.Meta _) ->
+ (* TODO how can we force the meta to become a sort? If we don't we
+ * brake the invariant that refine produce only well typed terms *)
+ (* TODO if we check the non meta term and if it is a sort then we are
+ * likely to know the exact value of the result e.g. if the rhs is a
+ * Sort (Prop | Set | CProp) then the result is the rhs *)
+ let (metasenv,idx) =
+ CicMkImplicit.mk_implicit_sort metasenv in
+ let (subst, metasenv) =
+ fo_unif_subst subst context_for_t2 metasenv (C.Meta (idx,[])) t2''
in
- C.Meta (idx, irl), subst, metasenv'
+ t2'',subst,metasenv
| (_,_) ->
raise (NotRefinable (sprintf
- "Two types were expected, found %s of type %s and %s of type %s"
+ "Two types were expected, found %s (that reduces to %s) and %s (that reduces to %s)"
(CicPp.ppterm t1) (CicPp.ppterm t1'') (CicPp.ppterm t2)
(CicPp.ppterm t2'')))
- and eat_prods subst metasenv context hetype =
+ and eat_prods subst metasenv context hetype tlbody_and_type =
+ let rec mk_prod metasenv context =
function
- [] -> hetype,subst,metasenv
- | (hete, hety)::tl ->
- (match (CicMetaSubst.whd metasenv subst context hetype) with
- Cic.Prod (n,s,t) ->
- let subst',metasenv' =
- CicUnification.fo_unif_subst subst context metasenv s hety
- in
- CicReduction.fdebug := -1 ;
- eat_prods subst' metasenv' context (CicSubstitution.subst hete t) tl
- | Cic.Meta _ as t ->
- raise
- (Uncertain
- ("Prod expected, " ^ CicPp.ppterm t ^ " found"))
- | _ -> raise (NotRefinable "Appl: wrong Prod-type")
- )
+ [] ->
+ let (metasenv, idx) = CicMkImplicit.mk_implicit_type metasenv context in
+ let irl =
+ CicMkImplicit.identity_relocation_list_for_metavariable context
+ in
+ metasenv,Cic.Meta (idx, irl)
+ | (_,argty)::tl ->
+ let (metasenv, idx) = CicMkImplicit.mk_implicit_type metasenv context in
+ let irl =
+ CicMkImplicit.identity_relocation_list_for_metavariable context
+ in
+ let meta = Cic.Meta (idx,irl) in
+ let name =
+ (* The name must be fresh for context. *)
+ (* Nevertheless, argty is well-typed only in context. *)
+ (* Thus I generate a name (name_hint) in context and *)
+ (* then I generate a name --- using the hint name_hint *)
+ (* --- that is fresh in (context'@context). *)
+ let name_hint =
+ FreshNamesGenerator.mk_fresh_name
+ (CicMetaSubst.apply_subst_metasenv subst metasenv)
+ (CicMetaSubst.apply_subst_context subst context)
+ Cic.Anonymous
+ (CicMetaSubst.apply_subst subst argty)
+ in
+ (* [] and (Cic.Sort Cic.prop) are dummy: they will not be used *)
+ FreshNamesGenerator.mk_fresh_name
+ [] context name_hint (Cic.Sort Cic.Prop)
+ in
+ let metasenv,target =
+ mk_prod metasenv ((Some (name, Cic.Decl meta))::context) tl
+ in
+ metasenv,Cic.Prod (name,meta,target)
+ in
+ let metasenv,hetype' = mk_prod metasenv context tlbody_and_type in
+ let (subst, metasenv) =
+ CicUnification.fo_unif_subst subst context metasenv hetype hetype'
+ in
+ let rec eat_prods metasenv subst context hetype =
+ function
+ [] -> metasenv,subst,hetype
+ | (hete, hety)::tl ->
+ (match hetype with
+ Cic.Prod (n,s,t) ->
+ (try
+ let subst,metasenv =
+ CicUnification.fo_unif_subst subst context metasenv s hety
+ in
+ eat_prods metasenv subst context
+ (CicMetaSubst.subst subst hete t) tl
+ with
+ e -> raise (RefineFailure ("XXX " ^ Printexc.to_string e)))
+ | _ -> assert false
+ )
+ in
+ let metasenv,subst,t =
+ eat_prods metasenv subst context hetype' tlbody_and_type
+ in
+ t,subst,metasenv
+
+(*
+ let rec aux context' args (resty,subst,metasenv) =
+ function
+ [] -> resty,subst,metasenv
+ | (arg,argty)::tl ->
+ let args' =
+ List.map
+ (function
+ None -> assert false
+ | Some t -> Some (CicMetaSubst.lift subst 1 t)
+ ) args in
+ let argty' = CicMetaSubst.lift subst (List.length args) argty in
+ let name =
+ (* The name must be fresh for (context'@context). *)
+ (* Nevertheless, argty is well-typed only in context. *)
+ (* Thus I generate a name (name_hint) in context and *)
+ (* then I generate a name --- using the hint name_hint *)
+ (* --- that is fresh in (context'@context). *)
+ let name_hint =
+ FreshNamesGenerator.mk_fresh_name
+ (CicMetaSubst.apply_subst_metasenv subst metasenv)
+ (CicMetaSubst.apply_subst_context subst context)
+ Cic.Anonymous
+ (CicMetaSubst.apply_subst subst argty)
+ in
+ (* [] and (Cic.Sort Cic.prop) are dummy: they will not be used *)
+ FreshNamesGenerator.mk_fresh_name
+ [] (context'@context) name_hint (Cic.Sort Cic.Prop)
+ in
+ let context'' = Some (name, Cic.Decl argty') :: context' in
+ let (metasenv, idx) =
+ CicMkImplicit.mk_implicit_type metasenv (context'' @ context) in
+ let irl =
+ (Some (Cic.Rel 1))::args' @
+ (CicMkImplicit.identity_relocation_list_for_metavariable ~start:2
+ context)
+ in
+ let newmeta = Cic.Meta (idx, irl) in
+ let prod = Cic.Prod (name, argty, newmeta) in
+ let (_, subst, metasenv) = type_of_aux subst metasenv context prod in
+ let (subst, metasenv) =
+ fo_unif_subst subst context metasenv resty prod
+ in
+ aux context'' (Some arg :: args)
+ (CicMetaSubst.subst subst arg newmeta, subst, metasenv) tl
+ in
+ aux [] [] (hetype,subst,metasenv) tlbody_and_type
+*)
+
in
let ty,subst',metasenv' =
type_of_aux [] metasenv context t
in
- let subst'',metasenv'' = CicMetaSubst.unwind_subst metasenv' subst' in
- (* we get rid of the metavariables that have been instantiated *)
- let metasenv''' =
- List.filter
- (function (i,_,_) -> not (List.exists (function (j,_) -> j=i) subst''))
- metasenv''
+ let substituted_t = CicMetaSubst.apply_subst subst' t in
+ let substituted_ty = CicMetaSubst.apply_subst subst' ty in
+ let substituted_metasenv =
+ CicMetaSubst.apply_subst_metasenv subst' metasenv'
in
- CicMetaSubst.apply_subst subst'' t,
- CicMetaSubst.apply_subst subst'' ty,
- subst'', metasenv'''
+ let cleaned_t =
+ FreshNamesGenerator.clean_dummy_dependent_types substituted_t in
+ let cleaned_ty =
+ FreshNamesGenerator.clean_dummy_dependent_types substituted_ty in
+ let cleaned_metasenv =
+ List.map
+ (function (n,context,ty) ->
+ let ty' = FreshNamesGenerator.clean_dummy_dependent_types ty in
+ let context' =
+ List.map
+ (function
+ None -> None
+ | Some (n, Cic.Decl t) ->
+ Some (n,
+ Cic.Decl (FreshNamesGenerator.clean_dummy_dependent_types t))
+ | Some (n, Cic.Def (bo,ty)) ->
+ let bo' = FreshNamesGenerator.clean_dummy_dependent_types bo in
+ let ty' =
+ match ty with
+ None -> None
+ | Some ty ->
+ Some (FreshNamesGenerator.clean_dummy_dependent_types ty)
+ in
+ Some (n, Cic.Def (bo',ty'))
+ ) context
+ in
+ (n,context',ty')
+ ) substituted_metasenv
+ in
+ (cleaned_t,cleaned_ty,cleaned_metasenv)
+
;;
(* DEBUGGING ONLY *)
let type_of_aux' metasenv context term =
try
- let (t,ty,s,m) = type_of_aux' metasenv context term in
+ let (t,ty,m) = type_of_aux' metasenv context term in
+ debug_print
+ ("@@@ REFINE SUCCESSFUL: " ^ CicPp.ppterm t ^ " : " ^ CicPp.ppterm ty);
(*
- List.iter
- (function (i,t) ->
- debug_print ("+ ?" ^ string_of_int i ^ " := " ^ CicPp.ppterm t)) s ;
- List.iter
- (function (i,_,t) ->
- debug_print ("+ ?" ^ string_of_int i ^ " : " ^ CicPp.ppterm t)) m ;
-*)
debug_print
- ("@@@ REFINE SUCCESSFUL: " ^ CicPp.ppterm t ^ " : " ^ CicPp.ppterm ty) ;
- (t,ty,s,m)
+ ("@@@ REFINE SUCCESSFUL (metasenv):\n" ^ CicMetaSubst.ppmetasenv m s);
+*)
+ (t,ty,m)
with
| CicUnification.AssertFailure msg as e ->
debug_print "@@@ REFINE FAILED: CicUnification.AssertFailure:";
debug_print msg;
raise e
- | CicUnification.UnificationFailure msg as e ->
- debug_print "@@@ REFINE FAILED: CicUnification.UnificationFailure:";
- debug_print msg;
- raise e
| e ->
-(*
- List.iter
- (function (i,_,t) ->
- debug_print ("+ ?" ^ string_of_int i ^ " : " ^ CicPp.ppterm t))
- metasenv ;
-*)
debug_print ("@@@ REFINE FAILED: " ^ Printexc.to_string e) ;
raise e
;;
projects / helm.git / blobdiff