* http://cs.unibo.it/helm/.
*)
+open Printf
+
exception Impossible of int;;
exception NotRefinable of string;;
exception Uncertain of string;;
exception WrongUriToMutualInductiveDefinitions of string;;
exception RelToHiddenHypothesis;;
exception MetasenvInconsistency;;
-exception MutCaseFixAndCofixRefineNotImplemented;;
-exception FreeMetaFound of int;;
exception WrongArgumentNumber;;
let fdebug = ref 0;;
decr fdebug ;
ty,subst',metasenv'
| C.Meta (n,l) ->
- let (_,canonical_context,ty) =
- try
- List.find (function (m,_,_) -> n = m) metasenv
- with
- Not_found -> raise (FreeMetaFound n)
- in
+ let (_,canonical_context,ty) = CicUtil.lookup_meta n metasenv in
let subst',metasenv' =
check_metasenv_consistency 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
let _,subst',metasenv' =
type_of_aux subst metasenv context ty in
let inferredty,subst'',metasenv'' =
- type_of_aux subst' metasenv' context ty
+ type_of_aux subst' metasenv' context te
in
(try
let subst''',metasenv''' =
(subst,metasenv) outtypeinstances in
CicMetaSubst.whd subst
context (C.Appl(outtype::right_args@[term])),subst,metasenv
- | C.Fix _
- | C.CoFix _ -> raise MutCaseFixAndCofixRefineNotImplemented
+ | C.Fix (i,fl) ->
+ let subst,metasenv,types =
+ List.fold_left
+ (fun (subst,metasenv,types) (n,_,ty,_) ->
+ let _,subst',metasenv' = type_of_aux subst metasenv context ty in
+ subst',metasenv', Some (C.Name n,(C.Decl ty)) :: types
+ ) (subst,metasenv,[]) fl
+ in
+ let len = List.length types in
+ let context' = types@context in
+ let subst,metasenv =
+ List.fold_left
+ (fun (subst,metasenv) (name,x,ty,bo) ->
+ 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 subst len ty)
+ ) (subst,metasenv) fl in
+ let (_,_,ty,_) = List.nth fl i in
+ ty,subst,metasenv
+ | C.CoFix (i,fl) ->
+ let subst,metasenv,types =
+ List.fold_left
+ (fun (subst,metasenv,types) (n,ty,_) ->
+ let _,subst',metasenv' = type_of_aux subst metasenv context ty in
+ subst',metasenv', Some (C.Name n,(C.Decl ty)) :: types
+ ) (subst,metasenv,[]) fl
+ in
+ let len = List.length types in
+ let context' = types@context in
+ let subst,metasenv =
+ List.fold_left
+ (fun (subst,metasenv) (name,ty,bo) ->
+ 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 subst len ty)
+ ) (subst,metasenv) fl in
+
+ let (_,ty,_) = List.nth fl i in
+ ty,subst,metasenv
(* check_metasenv_consistency checks that the "canonical" context of a
metavariable is consitent - up to relocation via the relocation list l -
| (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
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 subst' context t1' in
- let t2'' = CicMetaSubst.whd subst' ((Some (name,C.Decl s))::context) t2' in
+ let t1' = CicMetaSubst.apply_subst subst t1 in
+ let t2' = CicMetaSubst.apply_subst subst t2 in
+ let t1'' = CicMetaSubst.whd subst context t1' in
+ let t2'' =
+ CicMetaSubst.whd subst ((Some (name,C.Decl s))::context) t2'
+ in
match (t1'', t2'') with
(C.Sort s1, C.Sort s2)
- when (s2 = C.Prop or s2 = C.Set or s2 = C.CProp) -> (* 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.Sort C.Type,subst,metasenv
| (C.Meta _,_) | (_,C.Meta _) ->
- let (metasenv', idx) = CicMkImplicit.mk_implicit metasenv context in
+ (* 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 metasenv context in
let irl =
CicMkImplicit.identity_relocation_list_for_metavariable context
in
- C.Meta (idx, irl), subst, metasenv'
-(*
- raise
- (Uncertain
- ("Two sorts were expected, found " ^ CicPp.ppterm t1'' ^ " and " ^
- CicPp.ppterm t2''))
-*)
+ C.Meta (idx, irl), subst, metasenv
| (_,_) ->
- raise
- (NotRefinable
- ("Prod: sort1= "^ CicPp.ppterm t1'' ^ " ; sort2= "^ CicPp.ppterm t2''))
+ raise (NotRefinable (sprintf
+ "Two types were expected, found %s of type %s and %s of type %s"
+ (CicPp.ppterm t1) (CicPp.ppterm t1'') (CicPp.ppterm t2)
+ (CicPp.ppterm t2'')))
+
+ and eat_prods subst metasenv context hetype tlbody_and_type =
+ (* TODO to be reviewed *)
+ List.fold_left
+ (fun (resty, subst, metasenv) (arg, argty) ->
+ let context' = Some (Cic.Anonymous, Cic.Decl argty) :: context in
+ let (metasenv, idx) = CicMkImplicit.mk_implicit metasenv context' in
+ let irl =
+ CicMkImplicit.identity_relocation_list_for_metavariable context'
+ in
+ let newmeta = Cic.Meta (idx, irl) in
+ let prod = Cic.Prod (Cic.Anonymous, argty, newmeta) in
+ let (_, subst, metasenv) = type_of_aux subst metasenv context prod in
+ let (subst, metasenv) =
+ CicUnification.fo_unif_subst subst context metasenv resty prod
+ in
+ (CicMetaSubst.subst subst arg newmeta, subst, metasenv))
+ (hetype, subst, metasenv) tlbody_and_type
- and eat_prods subst metasenv context hetype =
- function
- [] -> hetype,subst,metasenv
- | (hete, hety)::tl ->
- (match (CicMetaSubst.whd 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")
- )
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''' =
+ let metasenv'' =
List.filter
- (function (i,_,_) -> not (List.exists (function (j,_) -> j=i) subst''))
- metasenv''
+ (function (i,_,_) -> not (List.exists (function (j,_) -> j=i) subst'))
+ metasenv'
in
- CicMetaSubst.apply_subst subst'' t,
- CicMetaSubst.apply_subst subst'' ty,
- subst'', metasenv'''
+ CicMetaSubst.apply_subst subst' t,
+ CicMetaSubst.apply_subst subst' ty,
+ subst', metasenv''
;;
(* DEBUGGING ONLY *)
let type_of_aux' metasenv context term =
try
let (t,ty,s,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) ;
+ ("@@@ REFINE SUCCESSFUL (subst):\n" ^ CicMetaSubst.ppsubst s);
+ debug_print
+ ("@@@ REFINE SUCCESSFUL (metasenv):\n" ^ CicMetaSubst.ppmetasenv m s);
+*)
(t,ty,s,m)
with
| CicUnification.AssertFailure msg as e ->
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
;;