open Printf
-exception RefineFailure of string;;
-exception Uncertain of string;;
-exception AssertFailure of string;;
+exception RefineFailure of string Lazy.t;;
+exception Uncertain of string Lazy.t;;
+exception AssertFailure of string Lazy.t;;
-let debug_print = prerr_endline
+let debug_print = fun _ -> ()
-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 profiler = HExtlib.profile "CicRefine.fo_unif"
+
+let fo_unif_subst subst context metasenv t1 t2 ugraph =
+ try
+let foo () =
+ CicUnification.fo_unif_subst subst context metasenv t1 t2 ugraph
+in profiler.HExtlib.profile foo ()
+ with
+ (CicUnification.UnificationFailure msg) -> raise (RefineFailure msg)
+ | (CicUnification.Uncertain msg) -> raise (Uncertain msg)
;;
+let enrich f =
+ function
+ RefineFailure msg -> raise (RefineFailure (f msg))
+ | Uncertain msg -> raise (Uncertain (f msg))
+ | _ -> assert false
+
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 (AssertFailure "split: list too short")
+ | (_,_) -> raise (AssertFailure (lazy "split: list too short"))
;;
-let rec type_of_constant uri =
- let module C = Cic in
- let module R = CicReduction in
- let module U = UriManager in
- (*
- let obj =
- try
- CicEnvironment.get_cooked_obj uri
- with Not_found -> assert false
- in
- *)
- match CicEnvironment.get_obj uri with
- C.Constant (_,_,ty,_) -> ty
- | C.CurrentProof (_,_,_,ty,_) -> ty
- | _ ->
- raise
- (RefineFailure ("Unknown constant definition " ^ U.string_of_uri uri))
+let exp_impl metasenv subst context term =
+ let rec aux metasenv context = function
+ | (Cic.Rel _) as t -> metasenv, t
+ | (Cic.Sort _) as t -> metasenv, t
+ | Cic.Const (uri, subst) ->
+ let metasenv', subst' = do_subst metasenv context subst in
+ metasenv', Cic.Const (uri, subst')
+ | Cic.Var (uri, subst) ->
+ let metasenv', subst' = do_subst metasenv context subst in
+ metasenv', Cic.Var (uri, subst')
+ | Cic.MutInd (uri, i, subst) ->
+ let metasenv', subst' = do_subst metasenv context subst in
+ metasenv', Cic.MutInd (uri, i, subst')
+ | Cic.MutConstruct (uri, i, j, subst) ->
+ let metasenv', subst' = do_subst metasenv context subst in
+ metasenv', Cic.MutConstruct (uri, i, j, subst')
+ | Cic.Meta (n,l) ->
+ let metasenv', l' = do_local_context metasenv context l in
+ metasenv', Cic.Meta (n, l')
+ | Cic.Implicit (Some `Type) ->
+ let (metasenv', idx) = CicMkImplicit.mk_implicit_type metasenv subst context in
+ let irl = CicMkImplicit.identity_relocation_list_for_metavariable context in
+ metasenv', Cic.Meta (idx, irl)
+ | Cic.Implicit (Some `Closed) ->
+ let (metasenv', idx) = CicMkImplicit.mk_implicit metasenv subst [] in
+ metasenv', Cic.Meta (idx, [])
+ | Cic.Implicit None ->
+ let (metasenv', idx) = CicMkImplicit.mk_implicit metasenv subst context in
+ let irl = CicMkImplicit.identity_relocation_list_for_metavariable context in
+ metasenv', Cic.Meta (idx, irl)
+ | Cic.Implicit _ -> assert false
+ | Cic.Cast (te, ty) ->
+ let metasenv', ty' = aux metasenv context ty in
+ let metasenv'', te' = aux metasenv' context te in
+ metasenv'', Cic.Cast (te', ty')
+ | Cic.Prod (name, s, t) ->
+ let metasenv', s' = aux metasenv context s in
+ metasenv', Cic.Prod (name, s', t)
+ | Cic.Lambda (name, s, t) ->
+ let metasenv', s' = aux metasenv context s in
+ metasenv', Cic.Lambda (name, s', t)
+ | Cic.LetIn (name, s, t) ->
+ let metasenv', s' = aux metasenv context s in
+ metasenv', Cic.LetIn (name, s', t)
+ | Cic.Appl l when List.length l > 1 ->
+ let metasenv', l' =
+ List.fold_right
+ (fun term (metasenv, terms) ->
+ let new_metasenv, term = aux metasenv context term in
+ new_metasenv, term :: terms)
+ l (metasenv, [])
+ in
+ metasenv', Cic.Appl l'
+ | Cic.Appl _ -> assert false
+ | Cic.MutCase (uri, i, outtype, term, patterns) ->
+ let metasenv', l' =
+ List.fold_right
+ (fun term (metasenv, terms) ->
+ let new_metasenv, term = aux metasenv context term in
+ new_metasenv, term :: terms)
+ (outtype :: term :: patterns) (metasenv, [])
+ in
+ let outtype', term', patterns' =
+ match l' with
+ | outtype' :: term' :: patterns' -> outtype', term', patterns'
+ | _ -> assert false
+ in
+ metasenv', Cic.MutCase (uri, i, outtype', term', patterns')
+ | Cic.Fix (i, funs) ->
+ let metasenv', types =
+ List.fold_right
+ (fun (name, _, typ, _) (metasenv, types) ->
+ let new_metasenv, new_type = aux metasenv context typ in
+ (new_metasenv, (name, new_type) :: types))
+ funs (metasenv, [])
+ in
+ let rec combine = function
+ | ((name, index, _, body) :: funs_tl),
+ ((_, typ) :: typ_tl) ->
+ (name, index, typ, body) :: combine (funs_tl, typ_tl)
+ | [], [] -> []
+ | _ -> assert false
+ in
+ let funs' = combine (funs, types) in
+ metasenv', Cic.Fix (i, funs')
+ | Cic.CoFix (i, funs) ->
+ let metasenv', types =
+ List.fold_right
+ (fun (name, typ, _) (metasenv, types) ->
+ let new_metasenv, new_type = aux metasenv context typ in
+ (new_metasenv, (name, new_type) :: types))
+ funs (metasenv, [])
+ in
+ let rec combine = function
+ | ((name, _, body) :: funs_tl),
+ ((_, typ) :: typ_tl) ->
+ (name, typ, body) :: combine (funs_tl, typ_tl)
+ | [], [] -> []
+ | _ -> assert false
+ in
+ let funs' = combine (funs, types) in
+ metasenv', Cic.CoFix (i, funs')
+ and do_subst metasenv context subst =
+ List.fold_right
+ (fun (uri, term) (metasenv, substs) ->
+ let metasenv', term' = aux metasenv context term in
+ (metasenv', (uri, term') :: substs))
+ subst (metasenv, [])
+ and do_local_context metasenv context local_context =
+ List.fold_right
+ (fun term (metasenv, local_context) ->
+ let metasenv', term' =
+ match term with
+ | None -> metasenv, None
+ | Some term ->
+ let metasenv', term' = aux metasenv context term in
+ metasenv', Some term'
+ in
+ metasenv', term' :: local_context)
+ local_context (metasenv, [])
+ in
+ aux metasenv context term
+;;
+
+let rec type_of_constant uri ugraph =
+ let module C = Cic in
+ let module R = CicReduction in
+ let module U = UriManager in
+ let _ = CicTypeChecker.typecheck uri in
+ let obj,u =
+ try
+ CicEnvironment.get_cooked_obj ugraph uri
+ with Not_found -> assert false
+ in
+ match obj with
+ C.Constant (_,_,ty,_,_) -> ty,u
+ | C.CurrentProof (_,_,_,ty,_,_) -> ty,u
+ | _ ->
+ raise
+ (RefineFailure (lazy ("Unknown constant definition " ^ U.string_of_uri uri)))
-and type_of_variable uri =
+and type_of_variable uri ugraph =
let module C = Cic in
let module R = CicReduction in
let module U = UriManager in
- (*
- let obj =
- try
- CicEnvironment.get_cooked_obj uri
- with Not_found -> assert false
- in
- *)
- match CicEnvironment.get_obj uri with
- C.Variable (_,_,ty,_) -> ty
- | _ ->
- raise
- (RefineFailure
- ("Unknown variable definition " ^ UriManager.string_of_uri uri))
+ let _ = CicTypeChecker.typecheck uri in
+ let obj,u =
+ try
+ CicEnvironment.get_cooked_obj ugraph uri
+ with Not_found -> assert false
+ in
+ match obj with
+ C.Variable (_,_,ty,_,_) -> ty,u
+ | _ ->
+ raise
+ (RefineFailure
+ (lazy ("Unknown variable definition " ^ UriManager.string_of_uri uri)))
-and type_of_mutual_inductive_defs uri i =
+and type_of_mutual_inductive_defs uri i ugraph =
let module C = Cic in
let module R = CicReduction in
let module U = UriManager in
- (*
- let obj =
- try
- CicEnvironment.get_cooked_obj uri
- with Not_found -> assert false
- in
- *)
- match CicEnvironment.get_obj uri with
- C.InductiveDefinition (dl,_,_) ->
- let (_,_,arity,_) = List.nth dl i in
- arity
- | _ ->
- raise
- (RefineFailure
- ("Unknown mutual inductive definition " ^ U.string_of_uri uri))
+ let _ = CicTypeChecker.typecheck uri in
+ let obj,u =
+ try
+ CicEnvironment.get_cooked_obj ugraph uri
+ with Not_found -> assert false
+ in
+ match obj with
+ C.InductiveDefinition (dl,_,_,_) ->
+ let (_,_,arity,_) = List.nth dl i in
+ arity,u
+ | _ ->
+ raise
+ (RefineFailure
+ (lazy ("Unknown mutual inductive definition " ^ U.string_of_uri uri)))
-and type_of_mutual_inductive_constr uri i j =
+and type_of_mutual_inductive_constr uri i j ugraph =
let module C = Cic in
let module R = CicReduction in
let module U = UriManager in
- (*
- let obj =
- try
- CicEnvironment.get_cooked_obj uri
- with Not_found -> assert false
- in
- *)
- match CicEnvironment.get_obj uri with
- C.InductiveDefinition (dl,_,_) ->
- let (_,_,_,cl) = List.nth dl i in
+ let _ = CicTypeChecker.typecheck uri in
+ let obj,u =
+ try
+ CicEnvironment.get_cooked_obj ugraph uri
+ with Not_found -> assert false
+ in
+ match obj with
+ C.InductiveDefinition (dl,_,_,_) ->
+ let (_,_,_,cl) = List.nth dl i in
let (_,ty) = List.nth cl (j-1) in
- ty
- | _ ->
- raise
- (RefineFailure
- ("Unkown mutual inductive definition " ^ U.string_of_uri uri))
+ ty,u
+ | _ ->
+ raise
+ (RefineFailure
+ (lazy
+ ("Unkown mutual inductive definition " ^ U.string_of_uri uri)))
+
(* type_of_aux' is just another name (with a different scope) for type_of_aux *)
The problem is that outype is in general unknown, and we should
try to synthesize it from the above information, that is in general
a second order unification problem. *)
-
-and check_branch n context metasenv subst left_args_no actualtype term expectedtype =
+
+and check_branch n context metasenv subst left_args_no actualtype term expectedtype ugraph =
let module C = Cic in
(* let module R = CicMetaSubst in *)
let module R = CicReduction in
match R.whd ~subst context expectedtype with
- C.MutInd (_,_,_) ->
- (n,context,actualtype, [term]), subst, metasenv
+ C.MutInd (_,_,_) ->
+ (n,context,actualtype, [term]), subst, metasenv, ugraph
| C.Appl (C.MutInd (_,_,_)::tl) ->
- let (_,arguments) = split tl left_args_no in
- (n,context,actualtype, arguments@[term]), subst, metasenv
+ let (_,arguments) = split tl left_args_no in
+ (n,context,actualtype, arguments@[term]), subst, metasenv, ugraph
| C.Prod (name,so,de) ->
- (* we expect that the actual type of the branch has the due
+ (* we expect that the actual type of the branch has the due
number of Prod *)
- (match R.whd ~subst context actualtype with
+ (match R.whd ~subst context actualtype with
C.Prod (name',so',de') ->
- let subst, metasenv =
- 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])
+ let subst, metasenv, ugraph1 =
+ fo_unif_subst subst context metasenv so so' ugraph in
+ 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
- (* we should also check that the name variable is anonymous in
- the actual type de' ?? *)
- check_branch (n+1) ((Some (name,(C.Decl so)))::context) metasenv subst left_args_no de' term' de
- | _ -> raise (AssertFailure "Wrong number of arguments"))
- | _ -> raise (AssertFailure "Prod or MutInd expected")
+ (* we should also check that the name variable is anonymous in
+ the actual type de' ?? *)
+ check_branch (n+1)
+ ((Some (name,(C.Decl so)))::context)
+ metasenv subst left_args_no de' term' de ugraph1
+ | _ -> raise (AssertFailure (lazy "Wrong number of arguments")))
+ | _ -> raise (AssertFailure (lazy "Prod or MutInd expected"))
-and type_of_aux' metasenv context t =
- let rec type_of_aux subst metasenv context t =
+and type_of_aux' metasenv context t ugraph =
+ let metasenv, t = exp_impl metasenv [] context t in
+ let rec type_of_aux subst metasenv context t ugraph =
let module C = Cic in
let module S = CicSubstitution in
let module U = UriManager in
+ (* this stops on binders, so we have to call it every time *)
match t with
- (* function *)
- C.Rel n ->
- (try
+ (* function *)
+ C.Rel n ->
+ (try
match List.nth context (n - 1) with
- 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)) ->
- type_of_aux subst metasenv context (S.lift n bo)
- | None -> raise (RefineFailure "Rel to hidden hypothesis")
+ Some (_,C.Decl ty) ->
+ t,S.lift n ty,subst,metasenv, ugraph
+ | Some (_,C.Def (_,Some ty)) ->
+ t,S.lift n ty,subst,metasenv, ugraph
+ | Some (_,C.Def (bo,None)) ->
+ let ty,ugraph =
+ (* if it is in the context it must be already well-typed*)
+ CicTypeChecker.type_of_aux' ~subst metasenv context
+ (S.lift n bo) ugraph
+ in
+ t,ty,subst,metasenv,ugraph
+ | None -> raise (RefineFailure (lazy "Rel to hidden hypothesis"))
with
- _ -> raise (RefineFailure "Not a close term")
- )
- | C.Var (uri,exp_named_subst) ->
- 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
- ty,subst',metasenv'
- | C.Meta (n,l) ->
+ _ -> raise (RefineFailure (lazy "Not a close term")))
+ | C.Var (uri,exp_named_subst) ->
+ let exp_named_subst',subst',metasenv',ugraph1 =
+ check_exp_named_subst
+ subst metasenv context exp_named_subst ugraph
+ in
+ let ty_uri,ugraph1 = type_of_variable uri ugraph in
+ let ty =
+ CicSubstitution.subst_vars exp_named_subst' ty_uri
+ in
+ C.Var (uri,exp_named_subst'),ty,subst',metasenv',ugraph1
+ | C.Meta (n,l) ->
(try
- let (canonical_context, term,ty) = CicUtil.lookup_subst n subst in
- let subst,metasenv =
- check_metasenv_consistency n subst metasenv context
- canonical_context l
+ let (canonical_context, term,ty) =
+ CicUtil.lookup_subst n subst
+ in
+ let l',subst',metasenv',ugraph1 =
+ check_metasenv_consistency n subst metasenv context
+ canonical_context l ugraph
in
- (* trust or check ??? *)
- CicSubstitution.lift_meta l ty, subst, metasenv
- (* type_of_aux subst metasenv
- context (CicSubstitution.lift_meta l term) *)
+ (* trust or check ??? *)
+ C.Meta (n,l'),CicSubstitution.subst_meta l' ty,
+ subst', metasenv', ugraph1
+ (* type_of_aux subst metasenv
+ context (CicSubstitution.subst_meta l term) *)
with CicUtil.Subst_not_found _ ->
let (_,canonical_context,ty) = CicUtil.lookup_meta n metasenv in
- let subst,metasenv =
- check_metasenv_consistency n subst metasenv context
- canonical_context l
+ let l',subst',metasenv', ugraph1 =
+ check_metasenv_consistency n subst metasenv context
+ canonical_context l ugraph
in
- CicSubstitution.lift_meta l ty, subst, metasenv)
- (* TASSI: CONSTRAINT *)
- | C.Sort (C.Type t) ->
- let t' = CicUniv.fresh() in
- if not (CicUniv.add_gt t' t ) then
- assert false (* t' is fresh! an error in CicUniv *)
- else
- C.Sort (C.Type t'),subst,metasenv
- (* TASSI: CONSTRAINT *)
- | C.Sort _ -> C.Sort (C.Type (CicUniv.fresh())),subst,metasenv
- | C.Implicit _ -> raise (AssertFailure "21")
- | C.Cast (te,ty) ->
- let _,subst',metasenv' =
- type_of_aux subst metasenv context ty in
- let inferredty,subst'',metasenv'' =
- type_of_aux subst' metasenv' context te
- in
- (try
- let subst''',metasenv''' =
- fo_unif_subst subst'' context metasenv'' inferredty ty
- in
- ty,subst''',metasenv'''
- with
- _ -> raise (RefineFailure "Cast"))
- | C.Prod (name,s,t) ->
- let sort1,subst',metasenv' = type_of_aux subst metasenv context s in
- let sort2,subst'',metasenv'' =
- type_of_aux subst' metasenv' ((Some (name,(C.Decl s)))::context) t
- in
- 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 CicReduction.whd ~subst:subst' context sort1 with
- C.Meta _
- | C.Sort _ -> ()
- | _ ->
- raise (RefineFailure (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
- 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
- let inferredty,subst'',metasenv'' =
- type_of_aux subst' metasenv' ((Some (n,(C.Def (s,Some ty))))::context) t
- in
- (* One-step LetIn reduction. Even faster than the previous solution.
- Moreover the inferred type is closer to the expected one. *)
- CicSubstitution.subst s inferredty,subst',metasenv'
- | C.Appl (he::((_::_) as tl)) ->
- let hetype,subst',metasenv' = type_of_aux subst metasenv context he in
- let tlbody_and_type,subst'',metasenv'' =
- List.fold_right
- (fun x (res,subst,metasenv) ->
- let ty,subst',metasenv' =
- type_of_aux subst metasenv context x
- in
- (x, ty)::res,subst',metasenv'
- ) tl ([],subst',metasenv')
- in
- eat_prods subst'' metasenv'' context hetype tlbody_and_type
- | C.Appl _ -> raise (RefineFailure "Appl: no arguments")
- | C.Const (uri,exp_named_subst) ->
- 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
- cty,subst',metasenv'
- | C.MutInd (uri,i,exp_named_subst) ->
- 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
- cty,subst',metasenv'
- | C.MutConstruct (uri,i,j,exp_named_subst) ->
- 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_constr uri i j)
- in
- cty,subst',metasenv'
- | C.MutCase (uri, i, outtype, term, pl) ->
- (* first, get the inductive type (and noparams) in the environment *)
- let (_,b,arity,constructors), expl_params, no_left_params =
- (*
- let obj =
- try
- CicEnvironment.get_cooked_obj ~trust:true uri
- with Not_found -> assert false
- in
- *)
- match CicEnvironment.get_obj uri with
- C.InductiveDefinition (l,expl_params,parsno) ->
- List.nth l i , expl_params, parsno
- | _ ->
- raise
- (RefineFailure
- ("Unkown mutual inductive definition " ^ U.string_of_uri uri)) in
- let rec count_prod t =
- match CicReduction.whd ~subst context t with
- C.Prod (_, _, t) -> 1 + (count_prod t)
- | _ -> 0 in
- let no_args = count_prod arity in
- (* now, create a "generic" MutInd *)
- let metasenv,left_args =
- CicMkImplicit.n_fresh_metas metasenv subst context no_left_params in
- let metasenv,right_args =
- let no_right_params = no_args - no_left_params in
- if no_right_params < 0 then assert false
- else CicMkImplicit.n_fresh_metas metasenv subst context no_right_params in
- let metasenv,exp_named_subst =
- CicMkImplicit.fresh_subst metasenv subst context expl_params in
- let expected_type =
- if no_args = 0 then
- C.MutInd (uri,i,exp_named_subst)
- else
- C.Appl (C.MutInd (uri,i,exp_named_subst)::(left_args @ right_args))
- 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 = CicReduction.whd ~subst context actual_type in
- let subst,metasenv =
- 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
- (fun (j,outtypeinstances,subst,metasenv) p ->
- let constructor =
- 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))
- in
- let actual_type,subst,metasenv =
- type_of_aux subst metasenv context p in
- let expected_type, subst, metasenv =
- type_of_aux subst metasenv context constructor in
- let outtypeinstance,subst,metasenv =
- check_branch
- 0 context metasenv subst
- no_left_params actual_type constructor expected_type in
- (j+1,outtypeinstance::outtypeinstances,subst,metasenv))
- (1,[],subst,metasenv) pl in
- (* we are left to check that the outype matches his instances.
- The easy case is when the outype is specified, that amount
- to a trivial check. Otherwise, we should guess a type from
- its instances *)
+ C.Meta (n,l'),CicSubstitution.subst_meta l' ty,
+ subst', metasenv',ugraph1)
+ | C.Sort (C.Type tno) ->
+ let tno' = CicUniv.fresh() in
+ let ugraph1 = CicUniv.add_gt tno' tno ugraph in
+ t,(C.Sort (C.Type tno')),subst,metasenv,ugraph1
+ | C.Sort _ ->
+ t,C.Sort (C.Type (CicUniv.fresh())),subst,metasenv,ugraph
+ | C.Implicit _ -> raise (AssertFailure (lazy "21"))
+ | C.Cast (te,ty) ->
+ let ty',_,subst',metasenv',ugraph1 =
+ type_of_aux subst metasenv context ty ugraph
+ in
+ let te',inferredty,subst'',metasenv'',ugraph2 =
+ type_of_aux subst' metasenv' context te ugraph1
+ in
+ let subst''',metasenv''',ugraph3 =
+ fo_unif_subst subst'' context metasenv''
+ inferredty ty' ugraph2
+ in
+ C.Cast (te',ty'),ty',subst''',metasenv''',ugraph3
+ | C.Prod (name,s,t) ->
+ let carr t subst context = CicMetaSubst.apply_subst subst t in
+ let coerce_to_sort
+ in_source tgt_sort t type_to_coerce subst ctx metasenv uragph
+ =
+ let coercion_src = carr type_to_coerce subst ctx in
+ match coercion_src with
+ | Cic.Sort _ ->
+ t,type_to_coerce,subst,metasenv,ugraph
+(*
+ | Cic.Meta _ as meta when not in_source ->
+ let coercion_tgt = carr (Cic.Sort tgt_sort) subst ctx in
+ let subst, metasenv, ugraph =
+ fo_unif_subst
+ subst ctx metasenv meta coercion_tgt ugraph
+ in
+ t, Cic.Sort tgt_sort, subst, metasenv, ugraph
+*)
+ | Cic.Meta _ as meta ->
+ t, meta, subst, metasenv, ugraph
+ | Cic.Cast _ as cast ->
+ t, cast, subst, metasenv, ugraph
+ | term ->
+ let coercion_tgt = carr (Cic.Sort tgt_sort) subst ctx in
+ let search = CoercGraph.look_for_coercion in
+ let boh = search coercion_src coercion_tgt in
+ (match boh with
+ | CoercGraph.NoCoercion
+ | CoercGraph.NotHandled _ ->
+ raise
+ (RefineFailure (lazy (CicMetaSubst.ppterm subst coercion_src ^ " is not a sort and cannoted be coerced to a sort")))
+ | CoercGraph.NotMetaClosed ->
+ raise
+ (Uncertain (lazy (CicMetaSubst.ppterm subst coercion_src ^ " is not a sort and cannoted be coerced to a sort")))
+ | CoercGraph.SomeCoercion c ->
+ Cic.Appl [c;t],Cic.Sort tgt_sort,subst, metasenv, ugraph)
+ in
+ let s',sort1,subst',metasenv',ugraph1 =
+ type_of_aux subst metasenv context s ugraph
+ in
+ let s',sort1,subst', metasenv',ugraph1 =
+ coerce_to_sort true (Cic.Type(CicUniv.fresh()))
+ s' sort1 subst' context metasenv' ugraph1
+ in
+ let context_for_t = ((Some (name,(C.Decl s')))::context) in
+ let metasenv',t = exp_impl metasenv' subst' context_for_t t in
+ let t',sort2,subst'',metasenv'',ugraph2 =
+ type_of_aux subst' metasenv'
+ context_for_t t ugraph1
+ in
+ let t',sort2,subst'',metasenv'',ugraph2 =
+ coerce_to_sort false (Cic.Type(CicUniv.fresh()))
+ t' sort2 subst'' context_for_t metasenv'' ugraph2
+ in
+ let sop,subst''',metasenv''',ugraph3 =
+ sort_of_prod subst'' metasenv''
+ context (name,s') (sort1,sort2) ugraph2
+ in
+ C.Prod (name,s',t'),sop,subst''',metasenv''',ugraph3
+ | C.Lambda (n,s,t) ->
- (* easy case *)
- let _, subst, metasenv =
- type_of_aux subst metasenv context
- (C.Appl ((outtype :: right_args) @ [term]))
+ let s',sort1,subst',metasenv',ugraph1 =
+ type_of_aux subst metasenv context s ugraph in
+ let s',sort1 =
+ match CicReduction.whd ~subst:subst' context sort1 with
+ C.Meta _
+ | C.Sort _ -> s',sort1
+ | coercion_src ->
+ let coercion_tgt = Cic.Sort (Cic.Type (CicUniv.fresh ())) in
+ let search = CoercGraph.look_for_coercion in
+ let boh = search coercion_src coercion_tgt in
+ match boh with
+ | CoercGraph.SomeCoercion c ->
+ Cic.Appl [c;s'], coercion_tgt
+ | CoercGraph.NoCoercion
+ | CoercGraph.NotHandled _
+ | CoercGraph.NotMetaClosed ->
+ raise (RefineFailure (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))))
in
- let (subst,metasenv) =
- List.fold_left
- (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)
+ let context_for_t = ((Some (n,(C.Decl s')))::context) in
+ let metasenv',t = exp_impl metasenv' subst' context_for_t t in
+ let t',type2,subst'',metasenv'',ugraph2 =
+ type_of_aux subst' metasenv' context_for_t t ugraph1
+ in
+ C.Lambda (n,s',t'),C.Prod (n,s',type2),
+ subst'',metasenv'',ugraph2
+ | C.LetIn (n,s,t) ->
+ (* only to check if s is well-typed *)
+ let s',ty,subst',metasenv',ugraph1 =
+ type_of_aux subst metasenv context s ugraph
+ in
+ let context_for_t = ((Some (n,(C.Def (s',Some ty))))::context) in
+ let metasenv',t = exp_impl metasenv' subst' context_for_t t in
+
+ let t',inferredty,subst'',metasenv'',ugraph2 =
+ type_of_aux subst' metasenv'
+ context_for_t t ugraph1
+ in
+ (* One-step LetIn reduction.
+ * Even faster than the previous solution.
+ * Moreover the inferred type is closer to the expected one.
+ *)
+ C.LetIn (n,s',t'),CicSubstitution.subst s' inferredty,
+ subst'',metasenv'',ugraph2
+ | C.Appl (he::((_::_) as tl)) ->
+ let he',hetype,subst',metasenv',ugraph1 =
+ type_of_aux subst metasenv context he ugraph
+ in
+ let tlbody_and_type,subst'',metasenv'',ugraph2 =
+ List.fold_right
+ (fun x (res,subst,metasenv,ugraph) ->
+ let x',ty,subst',metasenv',ugraph1 =
+ type_of_aux subst metasenv context x ugraph
+ in
+ (x', ty)::res,subst',metasenv',ugraph1
+ ) tl ([],subst',metasenv',ugraph1)
+ in
+ let tl',applty,subst''',metasenv''',ugraph3 =
+ try
+ eat_prods true subst'' metasenv'' context
+ hetype tlbody_and_type ugraph2
+ with
+ exn ->
+ enrich
+ (fun msg ->
+ lazy ("The application " ^
+ CicMetaSubst.ppterm_in_context subst'' t context ^
+ " is not well typed:\n" ^ Lazy.force msg)) exn
+ in
+ C.Appl (he'::tl'), applty,subst''',metasenv''',ugraph3
+ | C.Appl _ -> raise (RefineFailure (lazy "Appl: no arguments"))
+ | C.Const (uri,exp_named_subst) ->
+ let exp_named_subst',subst',metasenv',ugraph1 =
+ check_exp_named_subst subst metasenv context
+ exp_named_subst ugraph in
+ let ty_uri,ugraph2 = type_of_constant uri ugraph1 in
+ let cty =
+ CicSubstitution.subst_vars exp_named_subst' ty_uri
+ in
+ C.Const (uri,exp_named_subst'),cty,subst',metasenv',ugraph2
+ | C.MutInd (uri,i,exp_named_subst) ->
+ let exp_named_subst',subst',metasenv',ugraph1 =
+ check_exp_named_subst subst metasenv context
+ exp_named_subst ugraph
+ in
+ let ty_uri,ugraph2 = type_of_mutual_inductive_defs uri i ugraph1 in
+ let cty =
+ CicSubstitution.subst_vars exp_named_subst' ty_uri in
+ C.MutInd (uri,i,exp_named_subst'),cty,subst',metasenv',ugraph2
+ | C.MutConstruct (uri,i,j,exp_named_subst) ->
+ let exp_named_subst',subst',metasenv',ugraph1 =
+ check_exp_named_subst subst metasenv context
+ exp_named_subst ugraph
+ in
+ let ty_uri,ugraph2 =
+ type_of_mutual_inductive_constr uri i j ugraph1
+ in
+ let cty =
+ CicSubstitution.subst_vars exp_named_subst' ty_uri
+ in
+ C.MutConstruct (uri,i,j,exp_named_subst'),cty,subst',
+ metasenv',ugraph2
+ | C.MutCase (uri, i, outtype, term, pl) ->
+ (* first, get the inductive type (and noparams)
+ * in the environment *)
+ let (_,b,arity,constructors), expl_params, no_left_params,ugraph =
+ let _ = CicTypeChecker.typecheck uri in
+ let obj,u = CicEnvironment.get_cooked_obj ugraph uri in
+ match obj with
+ C.InductiveDefinition (l,expl_params,parsno,_) ->
+ List.nth l i , expl_params, parsno, u
+ | _ ->
+ raise
+ (RefineFailure
+ (lazy ("Unkown mutual inductive definition " ^
+ U.string_of_uri uri)))
+ in
+ let rec count_prod t =
+ match CicReduction.whd ~subst context t with
+ C.Prod (_, _, t) -> 1 + (count_prod t)
+ | _ -> 0
+ in
+ let no_args = count_prod arity in
+ (* now, create a "generic" MutInd *)
+ let metasenv,left_args =
+ CicMkImplicit.n_fresh_metas metasenv subst context no_left_params
+ in
+ let metasenv,right_args =
+ let no_right_params = no_args - no_left_params in
+ if no_right_params < 0 then assert false
+ else CicMkImplicit.n_fresh_metas
+ metasenv subst context no_right_params
+ in
+ let metasenv,exp_named_subst =
+ CicMkImplicit.fresh_subst metasenv subst context expl_params in
+ let expected_type =
+ if no_args = 0 then
+ C.MutInd (uri,i,exp_named_subst)
+ else
+ C.Appl
+ (C.MutInd (uri,i,exp_named_subst)::(left_args @ right_args))
+ in
+ (* check consistency with the actual type of term *)
+ let term',actual_type,subst,metasenv,ugraph1 =
+ type_of_aux subst metasenv context term ugraph in
+ let expected_type',_, subst, metasenv,ugraph2 =
+ type_of_aux subst metasenv context expected_type ugraph1
+ in
+ let actual_type = CicReduction.whd ~subst context actual_type in
+ let subst,metasenv,ugraph3 =
+ fo_unif_subst subst context metasenv
+ expected_type' actual_type ugraph2
+ in
+ let rec instantiate_prod t =
+ function
+ [] -> t
+ | he::tl ->
+ match CicReduction.whd ~subst context t with
+ C.Prod (_,_,t') ->
+ instantiate_prod (CicSubstitution.subst he t') tl
+ | _ -> assert false
+ in
+ let arity_instantiated_with_left_args =
+ instantiate_prod arity left_args in
+ (* TODO: check if the sort elimination
+ * is allowed: [(I q1 ... qr)|B] *)
+ let (pl',_,outtypeinstances,subst,metasenv,ugraph4) =
+ List.fold_left
+ (fun (pl,j,outtypeinstances,subst,metasenv,ugraph) p ->
+ let constructor =
+ 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))
+ in
+ let p',actual_type,subst,metasenv,ugraph1 =
+ type_of_aux subst metasenv context p ugraph
+ in
+ let constructor',expected_type, subst, metasenv,ugraph2 =
+ type_of_aux subst metasenv context constructor ugraph1
+ in
+ let outtypeinstance,subst,metasenv,ugraph3 =
+ check_branch 0 context metasenv subst no_left_params
+ actual_type constructor' expected_type ugraph2
+ in
+ (pl @ [p'],j+1,
+ outtypeinstance::outtypeinstances,subst,metasenv,ugraph3))
+ ([],1,[],subst,metasenv,ugraph3) pl
+ in
+
+ (* we are left to check that the outype matches his instances.
+ The easy case is when the outype is specified, that amount
+ to a trivial check. Otherwise, we should guess a type from
+ its instances
+ *)
+
+ (match outtype with
+ | C.Meta (n,l) ->
+ (let candidate,ugraph5,metasenv,subst =
+ let exp_name_subst, metasenv =
+ let o,_ =
+ CicEnvironment.get_cooked_obj CicUniv.empty_ugraph uri
+ in
+ let uris = CicUtil.params_of_obj o in
+ List.fold_right (
+ fun uri (acc,metasenv) ->
+ let metasenv',new_meta =
+ CicMkImplicit.mk_implicit metasenv subst context
+ in
+ let irl =
+ CicMkImplicit.identity_relocation_list_for_metavariable
+ context
+ in
+ (uri, Cic.Meta(new_meta,irl))::acc, metasenv'
+ ) uris ([],metasenv)
+ in
+ let ty =
+ match left_args,right_args with
+ [],[] -> Cic.MutInd(uri, i, exp_name_subst)
+ | _,_ ->
+ let rec mk_right_args =
+ function
+ 0 -> []
+ | n -> (Cic.Rel n)::(mk_right_args (n - 1))
+ in
+ let right_args_no = List.length right_args in
+ let lifted_left_args =
+ List.map (CicSubstitution.lift right_args_no) left_args
+ in
+ Cic.Appl (Cic.MutInd(uri,i,exp_name_subst)::
+ (lifted_left_args @ mk_right_args right_args_no))
+ in
+ let fresh_name =
+ FreshNamesGenerator.mk_fresh_name ~subst metasenv
+ context Cic.Anonymous ~typ:ty
+ in
+ match outtypeinstances with
+ | [] ->
+ let extended_context =
+ let rec add_right_args =
+ function
+ Cic.Prod (name,ty,t) ->
+ Some (name,Cic.Decl ty)::(add_right_args t)
+ | _ -> []
+ in
+ (Some (fresh_name,Cic.Decl ty))::
+ (List.rev
+ (add_right_args arity_instantiated_with_left_args))@
+ context
+ in
+ let metasenv,new_meta =
+ CicMkImplicit.mk_implicit metasenv subst extended_context
+ in
+ let irl =
+ CicMkImplicit.identity_relocation_list_for_metavariable
+ extended_context
+ in
+ let rec add_lambdas b =
+ function
+ Cic.Prod (name,ty,t) ->
+ Cic.Lambda (name,ty,(add_lambdas b t))
+ | _ -> Cic.Lambda (fresh_name, ty, b)
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
- *)
- (* DEBUG
- let prova1 = CicMetaSubst.whd subst context appl in
- let prova2 = CicReduction.whd ~subst context appl in
- if not (prova1 = prova2) then
- begin
- prerr_endline ("prova1 =" ^ (CicPp.ppterm prova1));
- prerr_endline ("prova2 =" ^ (CicPp.ppterm prova2));
- end;
- *)
- (* CicMetaSubst.whd subst context appl *)
- CicReduction.whd ~subst context appl
- in
- fo_unif_subst subst context metasenv instance instance')
- (subst,metasenv) outtypeinstances in
- CicReduction.whd ~subst
- context (C.Appl(outtype::right_args@[term])),subst,metasenv
- | 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 =
+ let candidate =
+ add_lambdas (Cic.Meta (new_meta,irl))
+ arity_instantiated_with_left_args
+ in
+ (Some candidate),ugraph4,metasenv,subst
+ | (constructor_args_no,_,instance,_)::tl ->
+ try
+ let instance',subst,metasenv =
+ CicMetaSubst.delift_rels subst metasenv
+ constructor_args_no instance
+ in
+ let candidate,ugraph,metasenv,subst =
+ List.fold_left (
+ fun (candidate_oty,ugraph,metasenv,subst)
+ (constructor_args_no,_,instance,_) ->
+ match candidate_oty with
+ | None -> None,ugraph,metasenv,subst
+ | Some ty ->
+ try
+ let instance',subst,metasenv =
+ CicMetaSubst.delift_rels subst metasenv
+ constructor_args_no instance
+ in
+ let subst,metasenv,ugraph =
+ fo_unif_subst subst context metasenv
+ instance' ty ugraph
+ in
+ candidate_oty,ugraph,metasenv,subst
+ with
+ CicMetaSubst.DeliftingARelWouldCaptureAFreeVariable
+ | CicUnification.UnificationFailure _
+ | CicUnification.Uncertain _ ->
+ None,ugraph,metasenv,subst
+ ) (Some instance',ugraph4,metasenv,subst) tl
+ in
+ match candidate with
+ | None -> None, ugraph,metasenv,subst
+ | Some t ->
+ let rec add_lambdas n b =
+ function
+ Cic.Prod (name,ty,t) ->
+ Cic.Lambda (name,ty,(add_lambdas (n + 1) b t))
+ | _ ->
+ Cic.Lambda (fresh_name, ty,
+ CicSubstitution.lift (n + 1) t)
+ in
+ Some
+ (add_lambdas 0 t arity_instantiated_with_left_args),
+ ugraph,metasenv,subst
+ with CicMetaSubst.DeliftingARelWouldCaptureAFreeVariable ->
+ None,ugraph4,metasenv,subst
+ in
+ match candidate with
+ | None -> raise (Uncertain (lazy "can't solve an higher order unification problem"))
+ | Some candidate ->
+ let subst,metasenv,ugraph =
+ fo_unif_subst subst context metasenv
+ candidate outtype ugraph5
+ in
+ C.MutCase (uri, i, outtype, term', pl'),
+ CicReduction.head_beta_reduce
+ (CicMetaSubst.apply_subst subst
+ (Cic.Appl (outtype::right_args@[term']))),
+ subst,metasenv,ugraph)
+ | _ -> (* easy case *)
+ let outtype,outtypety, subst, metasenv,ugraph4 =
+ type_of_aux subst metasenv context outtype ugraph4
+ in
+ let tlbody_and_type,subst,metasenv,ugraph4 =
+ List.fold_right
+ (fun x (res,subst,metasenv,ugraph) ->
+ let x',ty,subst',metasenv',ugraph1 =
+ type_of_aux subst metasenv context x ugraph
+ in
+ (x', ty)::res,subst',metasenv',ugraph1
+ ) (right_args @ [term']) ([],subst,metasenv,ugraph4)
+ in
+ let _,_,subst,metasenv,ugraph4 =
+ eat_prods false subst metasenv context
+ outtypety tlbody_and_type ugraph4
+ in
+ let _,_, subst, metasenv,ugraph5 =
+ type_of_aux subst metasenv context
+ (C.Appl ((outtype :: right_args) @ [term'])) ugraph4
+ in
+ let (subst,metasenv,ugraph6) =
+ List.fold_left
+ (fun (subst,metasenv,ugraph)
+ (constructor_args_no,context,instance,args) ->
+ let instance' =
+ let appl =
+ let outtype' =
+ CicSubstitution.lift constructor_args_no outtype
+ in
+ C.Appl (outtype'::args)
+ in
+ CicReduction.whd ~subst context appl
+ in
+ fo_unif_subst subst context metasenv
+ instance instance' ugraph)
+ (subst,metasenv,ugraph5) outtypeinstances
+ in
+ C.MutCase (uri, i, outtype, term', pl'),
+ CicReduction.head_beta_reduce
+ (CicMetaSubst.apply_subst subst
+ (C.Appl(outtype::right_args@[term]))),
+ subst,metasenv,ugraph6)
+ | C.Fix (i,fl) ->
+ let fl_ty',subst,metasenv,types,ugraph1 =
List.fold_left
- (fun (subst,metasenv) (name,x,ty,bo) ->
- let ty_of_bo,subst,metasenv =
- type_of_aux subst metasenv context' bo
- in
- fo_unif_subst subst context' metasenv
- ty_of_bo (CicSubstitution.lift 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 =
+ (fun (fl,subst,metasenv,types,ugraph) (n,_,ty,_) ->
+ let ty',_,subst',metasenv',ugraph1 =
+ type_of_aux subst metasenv context ty ugraph
+ in
+ fl @ [ty'],subst',metasenv',
+ Some (C.Name n,(C.Decl ty')) :: types, ugraph
+ ) ([],subst,metasenv,[],ugraph) fl
+ in
+ let len = List.length types in
+ let context' = types@context in
+ let fl_bo',subst,metasenv,ugraph2 =
List.fold_left
- (fun (subst,metasenv) (name,ty,bo) ->
- let ty_of_bo,subst,metasenv =
- type_of_aux subst metasenv context' bo
- in
- fo_unif_subst subst context' metasenv
- ty_of_bo (CicSubstitution.lift len ty)
- ) (subst,metasenv) fl in
-
- let (_,ty,_) = List.nth fl i in
- ty,subst,metasenv
+ (fun (fl,subst,metasenv,ugraph) ((name,x,_,bo),ty) ->
+ let metasenv, bo = exp_impl metasenv subst context' bo in
+ let bo',ty_of_bo,subst,metasenv,ugraph1 =
+ type_of_aux subst metasenv context' bo ugraph
+ in
+ let subst',metasenv',ugraph' =
+ fo_unif_subst subst context' metasenv
+ ty_of_bo (CicSubstitution.lift len ty) ugraph1
+ in
+ fl @ [bo'] , subst',metasenv',ugraph'
+ ) ([],subst,metasenv,ugraph1) (List.combine fl fl_ty')
+ in
+ let ty = List.nth fl_ty' i in
+ (* now we have the new ty in fl_ty', the new bo in fl_bo',
+ * and we want the new fl with bo' and ty' injected in the right
+ * place.
+ *)
+ let rec map3 f l1 l2 l3 =
+ match l1,l2,l3 with
+ | [],[],[] -> []
+ | h1::tl1,h2::tl2,h3::tl3 -> (f h1 h2 h3) :: (map3 f tl1 tl2 tl3)
+ | _ -> assert false
+ in
+ let fl'' = map3 (fun ty' bo' (name,x,ty,bo) -> (name,x,ty',bo') )
+ fl_ty' fl_bo' fl
+ in
+ C.Fix (i,fl''),ty,subst,metasenv,ugraph2
+ | C.CoFix (i,fl) ->
+ let fl_ty',subst,metasenv,types,ugraph1 =
+ List.fold_left
+ (fun (fl,subst,metasenv,types,ugraph) (n,ty,_) ->
+ let ty',_,subst',metasenv',ugraph1 =
+ type_of_aux subst metasenv context ty ugraph
+ in
+ fl @ [ty'],subst',metasenv',
+ Some (C.Name n,(C.Decl ty')) :: types, ugraph1
+ ) ([],subst,metasenv,[],ugraph) fl
+ in
+ let len = List.length types in
+ let context' = types@context in
+ let fl_bo',subst,metasenv,ugraph2 =
+ List.fold_left
+ (fun (fl,subst,metasenv,ugraph) ((name,_,bo),ty) ->
+ let metasenv, bo = exp_impl metasenv subst context' bo in
+ let bo',ty_of_bo,subst,metasenv,ugraph1 =
+ type_of_aux subst metasenv context' bo ugraph
+ in
+ let subst',metasenv',ugraph' =
+ fo_unif_subst subst context' metasenv
+ ty_of_bo (CicSubstitution.lift len ty) ugraph1
+ in
+ fl @ [bo'],subst',metasenv',ugraph'
+ ) ([],subst,metasenv,ugraph1) (List.combine fl fl_ty')
+ in
+ let ty = List.nth fl_ty' i in
+ (* now we have the new ty in fl_ty', the new bo in fl_bo',
+ * and we want the new fl with bo' and ty' injected in the right
+ * place.
+ *)
+ let rec map3 f l1 l2 l3 =
+ match l1,l2,l3 with
+ | [],[],[] -> []
+ | h1::tl1,h2::tl2,h3::tl3 -> (f h1 h2 h3) :: (map3 f tl1 tl2 tl3)
+ | _ -> assert false
+ in
+ let fl'' = map3 (fun ty' bo' (name,ty,bo) -> (name,ty',bo') )
+ fl_ty' fl_bo' fl
+ in
+ C.CoFix (i,fl''),ty,subst,metasenv,ugraph2
(* 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
- metano subst metasenv context canonical_context l
+ metano 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
+ function
[] -> []
- | (Some (n,C.Decl t))::tl ->
- (Some (n,C.Decl (S.lift_meta l (S.lift i t))))::(aux (i+1) tl)
- | (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 (n,C.Def (t,Some ty)))::tl ->
+ | (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.lift_meta l (S.lift i t)),
- Some (S.lift_meta l (S.lift i ty))))) :: (aux (i+1) tl)
+ 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
+ aux 1 canonical_context
in
try
- List.fold_left2
- (fun (subst,metasenv) t ct ->
+ List.fold_left2
+ (fun (l,subst,metasenv,ugraph) t ct ->
match (t,ct) with
- _,None ->
- subst,metasenv
+ _,None ->
+ l @ [None],subst,metasenv,ugraph
| Some t,Some (_,C.Def (ct,_)) ->
- (try
- fo_unif_subst subst context metasenv t ct
- with e -> raise (RefineFailure (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 AssertFailure msg -> msg | _ -> (Printexc.to_string e)))))
+ let subst',metasenv',ugraph' =
+ (try
+ fo_unif_subst subst context metasenv t ct ugraph
+ with e -> raise (RefineFailure (lazy (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 AssertFailure msg -> Lazy.force msg | _ -> (Printexc.to_string e))))))
+ in
+ l @ [Some t],subst',metasenv',ugraph'
| Some t,Some (_,C.Decl ct) ->
- let inferredty,subst',metasenv' =
- type_of_aux subst metasenv context t
- in
- (try
- fo_unif_subst
- subst' context metasenv' inferredty ct
- with e -> raise (RefineFailure (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 AssertFailure msg -> msg | _ -> (Printexc.to_string e)))))
+ let t',inferredty,subst',metasenv',ugraph1 =
+ type_of_aux subst metasenv context t ugraph
+ in
+ let subst'',metasenv'',ugraph2 =
+ (try
+ fo_unif_subst
+ subst' context metasenv' inferredty ct ugraph1
+ with e -> raise (RefineFailure (lazy (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 AssertFailure msg -> Lazy.force msg | RefineFailure msg -> Lazy.force msg | _ -> (Printexc.to_string e))))))
+ in
+ l @ [Some t'], subst'',metasenv'',ugraph2
| None, Some _ ->
- raise (RefineFailure (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
+ raise (RefineFailure (lazy (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,ugraph) l lifted_canonical_context
with
- Invalid_argument _ ->
- raise
- (RefineFailure
- (sprintf
- "Not well typed metavariable instance %s: the length of the local context does not match the length of the canonical context %s"
- (CicMetaSubst.ppterm subst (Cic.Meta (metano, l)))
- (CicMetaSubst.ppcontext subst canonical_context)))
+ Invalid_argument _ ->
+ raise
+ (RefineFailure
+ (lazy (sprintf
+ "Not well typed metavariable instance %s: the length of the local context does not match the length of the canonical context %s"
+ (CicMetaSubst.ppterm subst (Cic.Meta (metano, l)))
+ (CicMetaSubst.ppcontext subst canonical_context))))
- and check_exp_named_subst metasubst metasenv context =
- let rec check_exp_named_subst_aux metasubst metasenv substs =
- function
- [] -> metasubst,metasenv
- | ((uri,t) as subst)::tl ->
- let typeofvar =
- CicSubstitution.subst_vars substs (type_of_variable uri) in
- (* CSC: why was this code here? it is wrong
- (match CicEnvironment.get_cooked_obj ~trust:false uri with
- Cic.Variable (_,Some bo,_,_) ->
- raise
- (RefineFailure
- "A variable with a body can not be explicit substituted")
- | Cic.Variable (_,None,_,_) -> ()
- | _ ->
- raise
- (RefineFailure
- ("Unkown variable definition " ^ UriManager.string_of_uri uri))
- ) ;
- *)
- let typeoft,metasubst',metasenv' =
- type_of_aux metasubst metasenv context t
- in
- let metasubst'',metasenv'' =
+ and check_exp_named_subst metasubst metasenv context tl ugraph =
+ let rec check_exp_named_subst_aux metasubst metasenv substs tl ugraph =
+ match tl with
+ [] -> [],metasubst,metasenv,ugraph
+ | ((uri,t) as subst)::tl ->
+ let ty_uri,ugraph1 = type_of_variable uri ugraph in
+ let typeofvar =
+ CicSubstitution.subst_vars substs ty_uri in
+ (* CSC: why was this code here? it is wrong
+ (match CicEnvironment.get_cooked_obj ~trust:false uri with
+ Cic.Variable (_,Some bo,_,_) ->
+ raise
+ (RefineFailure (lazy
+ "A variable with a body can not be explicit substituted"))
+ | Cic.Variable (_,None,_,_) -> ()
+ | _ ->
+ raise
+ (RefineFailure (lazy
+ ("Unkown variable definition " ^ UriManager.string_of_uri uri)))
+ ) ;
+ *)
+ let t',typeoft,metasubst',metasenv',ugraph2 =
+ type_of_aux metasubst metasenv context t ugraph1
+ in
+ let metasubst'',metasenv'',ugraph3 =
try
- fo_unif_subst metasubst' context metasenv' typeoft typeofvar
+ fo_unif_subst
+ metasubst' context metasenv' typeoft typeofvar ugraph2
with _ ->
- raise (RefineFailure
- ("Wrong Explicit Named Substitution: " ^ CicMetaSubst.ppterm metasubst' typeoft ^
- " not unifiable with " ^ CicMetaSubst.ppterm metasubst' typeofvar))
+ raise (RefineFailure (lazy
+ ("Wrong Explicit Named Substitution: " ^
+ CicMetaSubst.ppterm metasubst' typeoft ^
+ " not unifiable with " ^
+ CicMetaSubst.ppterm metasubst' typeofvar)))
+ in
+ (* FIXME: no mere tail recursive! *)
+ let exp_name_subst, metasubst''', metasenv''', ugraph4 =
+ check_exp_named_subst_aux
+ metasubst'' metasenv'' (substs@[subst]) tl ugraph3
in
- check_exp_named_subst_aux metasubst'' metasenv'' (substs@[subst]) tl
+ ((uri,t')::exp_name_subst), metasubst''', metasenv''', ugraph4
in
- check_exp_named_subst_aux metasubst metasenv []
+ check_exp_named_subst_aux metasubst metasenv [] tl ugraph
- and sort_of_prod subst metasenv context (name,s) (t1, t2) =
+
+ and sort_of_prod subst metasenv context (name,s) (t1, t2) ugraph =
let module C = Cic in
let context_for_t2 = (Some (name,C.Decl s))::context in
let t1'' = CicReduction.whd ~subst context t1 in
let t2'' = CicReduction.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 than Coq manual!!! *)
- C.Sort s2,subst,metasenv
- | (C.Sort (C.Type t1), C.Sort (C.Type t2)) ->
- (* TASSI: CONSRTAINTS: the same in cictypechecker, doubletypeinference *)
- let t' = CicUniv.fresh() in
- if not (CicUniv.add_ge t' t1) || not (CicUniv.add_ge t' t2) then
- assert false ; (* not possible, error in CicUniv *)
- C.Sort (C.Type t'),subst,metasenv
- | (C.Sort _,C.Sort (C.Type t1)) ->
- (* TASSI: CONSRTAINTS: the same in cictypechecker, doubletypeinference *)
- C.Sort (C.Type t1),subst,metasenv
- | (C.Meta _, C.Sort _) -> t2'',subst,metasenv
- | (C.Sort _,C.Meta _) | (C.Meta _,C.Meta _) ->
+ (C.Sort s1, C.Sort s2)
+ when (s2 = C.Prop or s2 = C.Set or s2 = C.CProp) ->
+ (* different than Coq manual!!! *)
+ C.Sort s2,subst,metasenv,ugraph
+ | (C.Sort (C.Type t1), C.Sort (C.Type t2)) ->
+ let t' = CicUniv.fresh() in
+ let ugraph1 = CicUniv.add_ge t' t1 ugraph in
+ let ugraph2 = CicUniv.add_ge t' t2 ugraph1 in
+ C.Sort (C.Type t'),subst,metasenv,ugraph2
+ | (C.Sort _,C.Sort (C.Type t1)) ->
+ C.Sort (C.Type t1),subst,metasenv,ugraph
+ | (C.Meta _, C.Sort _) -> t2'',subst,metasenv,ugraph
+ | (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 *)
+ (* 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 subst in
- let (subst, metasenv) =
- fo_unif_subst subst context_for_t2 metasenv (C.Meta (idx,[])) t2''
- in
- t2'',subst,metasenv
- | (_,_) ->
- raise (RefineFailure (sprintf
- "Two sorts 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'')))
+ let (subst, metasenv,ugraph1) =
+ fo_unif_subst subst context_for_t2 metasenv
+ (C.Meta (idx,[])) t2'' ugraph
+ in
+ t2'',subst,metasenv,ugraph1
+ | _,_ ->
+ raise
+ (RefineFailure
+ (lazy
+ (sprintf
+ ("Two sorts 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 tlbody_and_type =
+ and eat_prods
+ allow_coercions subst metasenv context hetype tlbody_and_type ugraph
+ =
let rec mk_prod metasenv context =
function
- [] ->
- let (metasenv, idx) = CicMkImplicit.mk_implicit_type metasenv subst context in
- let irl =
+ [] ->
+ let (metasenv, idx) =
+ CicMkImplicit.mk_implicit_type metasenv subst context
+ in
+ let irl =
CicMkImplicit.identity_relocation_list_for_metavariable context
- in
+ in
metasenv,Cic.Meta (idx, irl)
- | (_,argty)::tl ->
- let (metasenv, idx) = CicMkImplicit.mk_implicit_type metasenv subst context in
- let irl =
- CicMkImplicit.identity_relocation_list_for_metavariable context
- in
- let meta = Cic.Meta (idx,irl) in
- let name =
+ | (_,argty)::tl ->
+ let (metasenv, idx) =
+ CicMkImplicit.mk_implicit_type metasenv subst 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 =
- (* Cic.Name "pippo" *)
- FreshNamesGenerator.mk_fresh_name ~subst metasenv
- (* (CicMetaSubst.apply_subst_metasenv subst metasenv) *)
- (CicMetaSubst.apply_subst_context subst context)
- Cic.Anonymous
- ~typ:(CicMetaSubst.apply_subst subst argty)
+ (* Cic.Name "pippo" *)
+ FreshNamesGenerator.mk_fresh_name ~subst metasenv
+ (* (CicMetaSubst.apply_subst_metasenv subst metasenv) *)
+ (CicMetaSubst.apply_subst_context subst context)
+ Cic.Anonymous
+ ~typ:(CicMetaSubst.apply_subst subst argty)
in
- (* [] and (Cic.Sort Cic.prop) are dummy: they will not be used *)
- FreshNamesGenerator.mk_fresh_name ~subst
- [] context name_hint ~typ:(Cic.Sort Cic.Prop)
- in
- let metasenv,target =
+ (* [] and (Cic.Sort Cic.prop) are dummy: they will not be used *)
+ FreshNamesGenerator.mk_fresh_name ~subst
+ [] context name_hint ~typ:(Cic.Sort Cic.Prop)
+ in
+ let metasenv,target =
mk_prod metasenv ((Some (name, Cic.Decl meta))::context) tl
- in
+ in
metasenv,Cic.Prod (name,meta,target)
in
let metasenv,hetype' = mk_prod metasenv context tlbody_and_type in
- let (subst, metasenv) =
+ let (subst, metasenv,ugraph1) =
try
- fo_unif_subst subst context metasenv hetype hetype'
+ fo_unif_subst subst context metasenv hetype hetype' ugraph
with exn ->
- prerr_endline (Printf.sprintf "hetype=%s\nhetype'=%s\nmetasenv=%s\nsubst=%s"
- (CicPp.ppterm hetype)
- (CicPp.ppterm hetype')
- (CicMetaSubst.ppmetasenv metasenv [])
- (CicMetaSubst.ppsubst subst));
- raise exn
+ debug_print (lazy (Printf.sprintf "hetype=%s\nhetype'=%s\nmetasenv=%s\nsubst=%s"
+ (CicPp.ppterm hetype)
+ (CicPp.ppterm hetype')
+ (CicMetaSubst.ppmetasenv [] metasenv)
+ (CicMetaSubst.ppsubst subst)));
+ raise exn
in
- let rec eat_prods metasenv subst context hetype =
+ let rec eat_prods metasenv subst context hetype ugraph =
function
- [] -> metasenv,subst,hetype
- | (hete, hety)::tl ->
+ | [] -> [],metasenv,subst,hetype,ugraph
+ | (hete, hety)::tl ->
(match hetype with
- Cic.Prod (n,s,t) ->
- let subst,metasenv =
- try
- fo_unif_subst subst context metasenv hety s
- with exn ->
- prerr_endline (Printf.sprintf "hety=%s\ns=%s\nmetasenv=%s"
- (CicMetaSubst.ppterm subst hety)
- (CicMetaSubst.ppterm subst s)
- (CicMetaSubst.ppmetasenv metasenv subst));
- raise exn
-
- (*
- try
- fo_unif_subst subst context metasenv hety s
- with _ ->
- prerr_endline("senza subst fallisce");
- let hety = CicMetaSubst.apply_subst subst hety in
- let s = CicMetaSubst.apply_subst subst s in
- prerr_endline ("unifico = " ^(CicPp.ppterm hety));
- prerr_endline ("con = " ^(CicPp.ppterm s));
- fo_unif_subst subst context metasenv hety s *)
- in
- (* DEBUG
- let t1 = CicMetaSubst.subst subst hete t in
- let t2 = CicSubstitution.subst hete t in
- prerr_endline ("con subst = " ^(CicPp.ppterm t1));
- prerr_endline ("senza subst = " ^(CicPp.ppterm t2));
- prerr_endline("++++++++++metasenv prima di eat_prods:\n" ^
- (CicMetaSubst.ppmetasenv metasenv subst));
- prerr_endline("++++++++++subst prima di eat_prods:\n" ^
- (CicMetaSubst.ppsubst subst));
- *)
- eat_prods metasenv subst context
- (* (CicMetaSubst.subst subst hete t) tl *)
- (CicSubstitution.subst hete t) tl
+ Cic.Prod (n,s,t) ->
+ let arg,subst,metasenv,ugraph1 =
+ try
+ let subst,metasenv,ugraph1 =
+ fo_unif_subst subst context metasenv hety s ugraph
+ in
+ hete,subst,metasenv,ugraph1
+ with exn when allow_coercions ->
+ (* we search a coercion from hety to s *)
+ let coer =
+ let carr t subst context =
+ CicMetaSubst.apply_subst subst t
+ in
+ let c_hety = carr hety subst context in
+ let c_s = carr s subst context in
+ CoercGraph.look_for_coercion c_hety c_s
+ in
+ match coer with
+ | CoercGraph.NoCoercion
+ | CoercGraph.NotHandled _ ->
+ let msg e =
+ lazy ("The term " ^
+ CicMetaSubst.ppterm_in_context subst hete
+ context ^ " has type " ^
+ CicMetaSubst.ppterm_in_context subst hety
+ context ^ " but is here used with type " ^
+ CicMetaSubst.ppterm_in_context subst s context
+ (* "\nReason: " ^ Lazy.force e*))
+ in
+ enrich msg exn
+ | CoercGraph.NotMetaClosed ->
+ raise (Uncertain (lazy "Coercions on meta"))
+ | CoercGraph.SomeCoercion c ->
+ (Cic.Appl [ c ; hete ]), subst, metasenv, ugraph
+ in
+ let coerced_args,metasenv',subst',t',ugraph2 =
+ eat_prods metasenv subst context
+ (CicSubstitution.subst arg t) ugraph1 tl
+ in
+ arg::coerced_args,metasenv',subst',t',ugraph2
| _ -> assert false
)
in
- let metasenv,subst,t =
- eat_prods metasenv subst context hetype' tlbody_and_type
+ let coerced_args,metasenv,subst,t,ugraph2 =
+ eat_prods metasenv subst context hetype' ugraph1 tlbody_and_type
in
- t,subst,metasenv
- (* eat prods ends here! *)
+ coerced_args,t,subst,metasenv,ugraph2
in
- let ty,subst',metasenv' =
- type_of_aux [] metasenv context t
+
+ (* eat prods ends here! *)
+
+ let t',ty,subst',metasenv',ugraph1 =
+ type_of_aux [] metasenv context t ugraph
in
- let substituted_t = CicMetaSubst.apply_subst subst' t in
+ let substituted_t = CicMetaSubst.apply_subst subst' t' in
let substituted_ty = CicMetaSubst.apply_subst subst' ty in
(* Andrea: ho rimesso qui l'applicazione della subst al
metasenv dopo che ho droppato l'invariante che il metsaenv
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' =
+ 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
+ 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)
+ (cleaned_t,cleaned_ty,cleaned_metasenv,ugraph1)
;;
+let type_of_aux' metasenv context term ugraph =
+ try
+ type_of_aux' metasenv context term ugraph
+ with
+ CicUniv.UniverseInconsistency msg -> raise (RefineFailure (lazy msg))
+let undebrujin uri typesno tys t =
+ snd
+ (List.fold_right
+ (fun (name,_,_,_) (i,t) ->
+ (* here the explicit_named_substituion is assumed to be *)
+ (* of length 0 *)
+ let t' = Cic.MutInd (uri,i,[]) in
+ let t = CicSubstitution.subst t' t in
+ i - 1,t
+ ) tys (typesno - 1,t))
+
+let map_first_n n start f g l =
+ let rec aux acc k l =
+ if k < n then
+ match l with
+ | [] -> raise (Invalid_argument "map_first_n")
+ | hd :: tl -> f hd k (aux acc (k+1) tl)
+ else
+ g acc l
+ in
+ aux start 0 l
+
+(*CSC: this is a very rough approximation; to be finished *)
+let are_all_occurrences_positive metasenv ugraph uri tys leftno =
+ let number_of_types = List.length tys in
+ let subst,metasenv,ugraph,tys =
+ List.fold_right
+ (fun (name,ind,arity,cl) (subst,metasenv,ugraph,acc) ->
+ let subst,metasenv,ugraph,cl =
+ List.fold_right
+ (fun (name,ty) (subst,metasenv,ugraph,acc) ->
+ let rec aux ctx k subst = function
+ | Cic.Appl((Cic.MutInd (uri',_,_)as hd)::tl) when uri = uri'->
+ let subst,metasenv,ugraph,tl =
+ map_first_n leftno
+ (subst,metasenv,ugraph,[])
+ (fun t n (subst,metasenv,ugraph,acc) ->
+ let subst,metasenv,ugraph =
+ fo_unif_subst
+ subst ctx metasenv t (Cic.Rel (k-n)) ugraph
+ in
+ subst,metasenv,ugraph,(t::acc))
+ (fun (s,m,g,acc) tl -> assert(acc=[]);(s,m,g,tl))
+ tl
+ in
+ subst,metasenv,ugraph,(Cic.Appl (hd::tl))
+ | Cic.MutInd(uri',_,_) as t when uri = uri'->
+ subst,metasenv,ugraph,t
+ | Cic.Prod (name,s,t) ->
+ let ctx = (Some (name,Cic.Decl s))::ctx in
+ let subst,metasenv,ugraph,t = aux ctx (k+1) subst t in
+ subst,metasenv,ugraph,Cic.Prod (name,s,t)
+ | _ ->
+ raise
+ (RefineFailure
+ (lazy "not well formed constructor type"))
+ in
+ let subst,metasenv,ugraph,ty = aux [] 0 subst ty in
+ subst,metasenv,ugraph,(name,ty) :: acc)
+ cl (subst,metasenv,ugraph,[])
+ in
+ subst,metasenv,ugraph,(name,ind,arity,cl)::acc)
+ tys ([],metasenv,ugraph,[])
+ in
+ let substituted_tys =
+ List.map
+ (fun (name,ind,arity,cl) ->
+ let cl =
+ List.map (fun (name, ty) -> name,CicMetaSubst.apply_subst subst ty) cl
+ in
+ name,ind,CicMetaSubst.apply_subst subst arity,cl)
+ tys
+ in
+ metasenv,ugraph,substituted_tys
+
+let typecheck metasenv uri obj =
+ let ugraph = CicUniv.empty_ugraph in
+ match obj with
+ Cic.Constant (name,Some bo,ty,args,attrs) ->
+ let bo',boty,metasenv,ugraph = type_of_aux' metasenv [] bo ugraph in
+ let ty',_,metasenv,ugraph = type_of_aux' metasenv [] ty ugraph in
+ let subst,metasenv,ugraph = fo_unif_subst [] [] metasenv boty ty' ugraph in
+ let bo' = CicMetaSubst.apply_subst subst bo' in
+ let ty' = CicMetaSubst.apply_subst subst ty' in
+ let metasenv = CicMetaSubst.apply_subst_metasenv subst metasenv in
+ Cic.Constant (name,Some bo',ty',args,attrs),metasenv,ugraph
+ | Cic.Constant (name,None,ty,args,attrs) ->
+ let ty',_,metasenv,ugraph = type_of_aux' metasenv [] ty ugraph in
+ Cic.Constant (name,None,ty',args,attrs),metasenv,ugraph
+ | Cic.CurrentProof (name,metasenv',bo,ty,args,attrs) ->
+ assert (metasenv' = metasenv);
+ (* Here we do not check the metasenv for correctness *)
+ let bo',boty,metasenv,ugraph = type_of_aux' metasenv [] bo ugraph in
+ let ty',sort,metasenv,ugraph = type_of_aux' metasenv [] ty ugraph in
+ begin
+ match sort with
+ Cic.Sort _
+ (* instead of raising Uncertain, let's hope that the meta will become
+ a sort *)
+ | Cic.Meta _ -> ()
+ | _ -> raise (RefineFailure (lazy "The term provided is not a type"))
+ end;
+ let subst,metasenv,ugraph = fo_unif_subst [] [] metasenv boty ty' ugraph in
+ let bo' = CicMetaSubst.apply_subst subst bo' in
+ let ty' = CicMetaSubst.apply_subst subst ty' in
+ let metasenv = CicMetaSubst.apply_subst_metasenv subst metasenv in
+ Cic.CurrentProof (name,metasenv,bo',ty',args,attrs),metasenv,ugraph
+ | Cic.Variable _ -> assert false (* not implemented *)
+ | Cic.InductiveDefinition (tys,args,paramsno,attrs) ->
+ (*CSC: this code is greately simplified and many many checks are missing *)
+ (*CSC: e.g. the constructors are not required to build their own types, *)
+ (*CSC: the arities are not required to have as type a sort, etc. *)
+ let uri = match uri with Some uri -> uri | None -> assert false in
+ let typesno = List.length tys in
+ (* first phase: we fix only the types *)
+ let metasenv,ugraph,tys =
+ List.fold_right
+ (fun (name,b,ty,cl) (metasenv,ugraph,res) ->
+ let ty',_,metasenv,ugraph = type_of_aux' metasenv [] ty ugraph in
+ metasenv,ugraph,(name,b,ty',cl)::res
+ ) tys (metasenv,ugraph,[]) in
+ let con_context =
+ List.rev_map (fun (name,_,ty,_)-> Some (Cic.Name name,Cic.Decl ty)) tys in
+ (* second phase: we fix only the constructors *)
+ let metasenv,ugraph,tys =
+ List.fold_right
+ (fun (name,b,ty,cl) (metasenv,ugraph,res) ->
+ let metasenv,ugraph,cl' =
+ List.fold_right
+ (fun (name,ty) (metasenv,ugraph,res) ->
+ let ty = CicTypeChecker.debrujin_constructor uri typesno ty in
+ let ty',_,metasenv,ugraph =
+ type_of_aux' metasenv con_context ty ugraph in
+ let ty' = undebrujin uri typesno tys ty' in
+ metasenv,ugraph,(name,ty')::res
+ ) cl (metasenv,ugraph,[])
+ in
+ metasenv,ugraph,(name,b,ty,cl')::res
+ ) tys (metasenv,ugraph,[]) in
+ (* third phase: we check the positivity condition *)
+ let metasenv,ugraph,tys =
+ are_all_occurrences_positive metasenv ugraph uri tys paramsno
+ in
+ Cic.InductiveDefinition (tys,args,paramsno,attrs),metasenv,ugraph
(* DEBUGGING ONLY
let type_of_aux' metasenv context term =
try
let (t,ty,m) =
type_of_aux' metasenv context term in
- debug_print
- ("@@@ REFINE SUCCESSFUL: " ^ CicPp.ppterm t ^ " : " ^ CicPp.ppterm ty);
- debug_print
- ("@@@ REFINE SUCCESSFUL (metasenv):\n" ^ CicMetaSubst.ppmetasenv ~sep:";" m []);
+ debug_print (lazy
+ ("@@@ REFINE SUCCESSFUL: " ^ CicPp.ppterm t ^ " : " ^ CicPp.ppterm ty));
+ debug_print (lazy
+ ("@@@ REFINE SUCCESSFUL (metasenv):\n" ^ CicMetaSubst.ppmetasenv ~sep:";" m []));
(t,ty,m)
with
| RefineFailure msg as e ->
- debug_print ("@@@ REFINE FAILED: " ^ msg);
+ debug_print (lazy ("@@@ REFINE FAILED: " ^ msg));
raise e
| Uncertain msg as e ->
- debug_print ("@@@ REFINE UNCERTAIN: " ^ msg);
+ debug_print (lazy ("@@@ REFINE UNCERTAIN: " ^ msg));
raise e
;; *)
+
+let profiler2 = HExtlib.profile "CicRefine"
+
+let type_of_aux' metasenv context term ugraph =
+ profiler2.HExtlib.profile (type_of_aux' metasenv context term) ugraph
+
+let typecheck metasenv uri obj =
+ profiler2.HExtlib.profile (typecheck metasenv uri) obj
projects / helm.git / blobdiff