* 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;;
(*print_endline ("\n" ^ List.fold_right debug_aux (t::context) "") ; flush stdout*)
;;
+let debug_print = prerr_endline
+
let rec split l n =
match (l,n) with
(l,0) -> ([], l)
try to synthesize it from the above information, that is in general
a second order unification problem. *)
-and check_branch context metasenv subst left_args_no actualtype term expectedtype =
+and check_branch n context metasenv subst left_args_no actualtype term expectedtype =
let module C = Cic in
- let module R = CicReduction in
+ let module R = CicMetaSubst in
let module Un = CicUnification in
- match R.whd context expectedtype with
+ match R.whd subst context expectedtype with
C.MutInd (_,_,_) ->
- (actualtype, [term]), subst, metasenv
+ (n,context,actualtype, [term]), subst, metasenv
| C.Appl (C.MutInd (_,_,_)::tl) ->
let (_,arguments) = split tl left_args_no in
- (actualtype, arguments@[term]), subst, metasenv
+ (n,context,actualtype, arguments@[term]), subst, metasenv
| C.Prod (name,so,de) ->
(* we expect that the actual type of the branch has the due
number of Prod *)
- (match R.whd context actualtype with
+ (match R.whd subst context actualtype with
C.Prod (name',so',de') ->
- let subst,metsaenv =
+ let subst, metasenv =
Un.fo_unif_subst subst context metasenv so so' in
let term' =
(match CicSubstitution.lift 1 term with
| t -> C.Appl [t ; C.Rel 1]) in
(* we should also check that the name variable is anonymous in
the actual type de' ?? *)
- check_branch ((Some (name,(C.Decl so)))::context) metasenv subst left_args_no de' term' de
+ check_branch (n+1) ((Some (name,(C.Decl so)))::context) metasenv subst left_args_no de' term' de
| _ -> raise WrongArgumentNumber)
| _ -> raise (NotRefinable "Prod or MutInd expected")
Some (_,C.Decl t) -> S.lift n t,subst,metasenv
| Some (_,C.Def (_,Some ty)) -> S.lift n ty,subst,metasenv
| Some (_,C.Def (bo,None)) ->
- prerr_endline "##### DA INVESTIGARE E CAPIRE" ;
type_of_aux subst metasenv context (S.lift n bo)
| None -> raise RelToHiddenHypothesis
with
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''' =
raise
(WrongUriToMutualInductiveDefinitions (U.string_of_uri uri)) in
let rec count_prod t =
- match CicReduction.whd 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
(* check consistency with the actual type of term *)
let actual_type,subst,metasenv =
type_of_aux subst metasenv context term in
+ let _, subst, metasenv =
+ type_of_aux subst metasenv context expected_type
+ in
+ let actual_type = CicMetaSubst.whd subst context actual_type in
let subst,metasenv =
- Un.fo_unif_subst
- subst
- context
- metasenv expected_type (CicReduction.whd context actual_type) in
+ Un.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) =
List.fold_left
if left_args = [] then
(C.MutConstruct (uri,i,j,exp_named_subst))
else
- (C.Appl
- (C.MutConstruct (uri,i,j,exp_named_subst)::left_args))
+ (C.Appl (C.MutConstruct (uri,i,j,exp_named_subst)::left_args))
in
let actual_type,subst,metasenv =
type_of_aux subst metasenv context p in
type_of_aux subst metasenv context constructor in
let outtypeinstance,subst,metasenv =
check_branch
- context metasenv subst
+ 0 context metasenv subst
no_left_params actual_type constructor expected_type in
(j+1,outtypeinstance::outtypeinstances,subst,metasenv))
(1,[],subst,metasenv) pl in
to a trivial check. Otherwise, we should guess a type from
its instances *)
(* easy case *)
+ let _, subst, metasenv =
+ type_of_aux subst metasenv context
+ (C.Appl ((outtype :: right_args) @ [term]))
+ in
let (subst,metasenv) =
List.fold_left
- (fun (subst,metasenv) (instance,args) ->
- let instance' =
- CicReduction.whd context (C.Appl(outtype::args)) in
+ (fun (subst,metasenv) (constructor_args_no,context,instance,args) ->
+ let instance' =
+ let appl =
+ let outtype' =
+ CicSubstitution.lift constructor_args_no outtype
+ in
+ C.Appl (outtype'::args)
+ in
+(*
+ (* if appl is not well typed then the type_of below solves the
+ * problem *)
+ let (_, subst, metasenv) =
+ type_of_aux subst metasenv context appl
+ in
+*)
+ CicMetaSubst.whd subst context appl
+ in
Un.fo_unif_subst subst context metasenv instance instance')
(subst,metasenv) outtypeinstances in
- CicReduction.whd
+ 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
List.fold_left2
(fun (subst,metasenv) t ct ->
match (t,ct) with
- _,None -> subst,metasenv
+ _,None ->
+ subst,metasenv
| Some t,Some (_,C.Def (ct,_)) ->
(try
CicUnification.fo_unif_subst subst context metasenv t ct
type_of_aux subst metasenv context t
in
(try
- CicUnification.fo_unif_subst subst context metasenv inferredty ct
+ CicUnification.fo_unif_subst
+ subst' context metasenv' inferredty ct
with _ -> raise MetasenvInconsistency)
- | _, _ -> raise MetasenvInconsistency
+ | _, _ ->
+ raise MetasenvInconsistency
) (subst,metasenv) l lifted_canonical_context
and check_exp_named_subst metasubst metasenv context =
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' = CicUnification.unwind_subst metasenv subst in
- let t1' = CicUnification.apply_subst subst' t1 in
- let t2' = CicUnification.apply_subst subst' t2 in
- let t1'' = CicReduction.whd context t1' in
- let t2'' = CicReduction.whd ((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.Meta _,_)
- | (_,C.Meta _) ->
- raise
- (Uncertain
- ("Two sorts were expected, found " ^ CicPp.ppterm t1'' ^ " and " ^
- CicPp.ppterm t2''))
+ C.Sort C.Type,subst,metasenv
+ | (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 metasenv context in
+ let irl =
+ CicMkImplicit.identity_relocation_list_for_metavariable context
+ in
+ 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 (CicReduction.whd context hetype) with
- Cic.Prod (n,s,t) ->
- let subst',metasenv' =
- try
- CicUnification.fo_unif_subst subst context metasenv s hety
- with _ ->
- raise (NotRefinable "Appl: wrong parameter-type")
- 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'' = CicUnification.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
- CicUnification.apply_subst subst'' t,
- CicUnification.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
- List.iter
- (function (i,t) ->
- prerr_endline ("+ ?" ^ string_of_int i ^ " := " ^ CicPp.ppterm t)) s ;
- List.iter
- (function (i,_,t) ->
- prerr_endline ("+ ?" ^ string_of_int i ^ " : " ^ CicPp.ppterm t)) m ;
- prerr_endline
- ("@@@ REFINE SUCCESSFUL: " ^ CicPp.ppterm t ^ " : " ^ CicPp.ppterm ty) ;
+ let (t,ty,s,m) = type_of_aux' metasenv context term in
+ debug_print
+ ("@@@ REFINE SUCCESSFUL: " ^ CicPp.ppterm t ^ " : " ^ CicPp.ppterm ty);
+(*
+ debug_print
+ ("@@@ REFINE SUCCESSFUL (subst):\n" ^ CicMetaSubst.ppsubst s);
+ debug_print
+ ("@@@ REFINE SUCCESSFUL (metasenv):\n" ^ CicMetaSubst.ppmetasenv m s);
+*)
(t,ty,s,m)
with
- e ->
- List.iter
- (function (i,_,t) ->
- prerr_endline ("+ ?" ^ string_of_int i ^ " : " ^ CicPp.ppterm t))
- metasenv ;
- prerr_endline ("@@@ REFINE FAILED: " ^ Printexc.to_string e) ;
+ | 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 ->
+ debug_print ("@@@ REFINE FAILED: " ^ Printexc.to_string e) ;
raise e
;;
-
-
-
-
-
-
-
-
-
projects / helm.git / blobdiff