in
(context',ty,C.LetIn(n,s,bo))
| _ as t ->
- let irl =
+ if howmany <= 0 then
+ let irl =
CicMkImplicit.identity_relocation_list_for_metavariable context
- in
- context, t, (C.Meta (newmeta,irl))
+ in
+ context, t, (C.Meta (newmeta,irl))
+ else
+ raise (Fail "intro(s): not enough products or let-ins")
in
collect_context context howmany ty
old_uninst,((i,canonical_context',ty')::new_uninst)
) metasenv ([],[])
-(* Auxiliary function for apply: given a type (a backbone), it returns its *)
-(* head, a META environment in which there is new a META for each hypothesis,*)
-(* a list of arguments for the new applications and the indexes of the first *)
-(* and last new METAs introduced. The nth argument in the list of arguments *)
-(* is just the nth new META. *)
-let new_metasenv_for_apply newmeta proof context ty =
- let module C = Cic in
- let module S = CicSubstitution in
- let rec aux newmeta ty =
- let ty' = ty in
- match ty' with
- C.Cast (he,_) -> aux newmeta he
-(* CSC: patch to generate ?1 : ?2 : Type in place of ?1 : Type to simulate ?1 :< Type
- (* If the expected type is a Type, then also Set is OK ==>
- * we accept any term of type Type *)
- (*CSC: BUG HERE: in this way it is possible for the term of
- * type Type to be different from a Sort!!! *)
- | C.Prod (name,(C.Sort (C.Type _) as s),t) ->
- (* TASSI: ask CSC if BUG HERE refers to the C.Cast or C.Propd case *)
- let irl =
- CicMkImplicit.identity_relocation_list_for_metavariable context
- in
- let newargument = C.Meta (newmeta+1,irl) in
- let (res,newmetasenv,arguments,lastmeta) =
- aux (newmeta + 2) (S.subst newargument t)
- in
- res,
- (newmeta,[],s)::(newmeta+1,context,C.Meta (newmeta,[]))::newmetasenv,
- newargument::arguments,lastmeta
-*)
- | C.Prod (name,s,t) ->
- let irl =
- CicMkImplicit.identity_relocation_list_for_metavariable context
- in
- let newargument = C.Meta (newmeta,irl) in
- let (res,newmetasenv,arguments,lastmeta) =
- aux (newmeta + 1) (S.subst newargument t)
- in
- let s' = CicReduction.normalize ~delta:false context s in
- res,(newmeta,context,s')::newmetasenv,newargument::arguments,lastmeta
- (** NORMALIZE RATIONALE
- * we normalize the target only NOW since we may be in this case:
- * A1 -> A2 -> T where T = (\lambda x.A3 -> P) k
- * and we want a mesasenv with ?1:A1 and ?2:A2 and not
- * ?1, ?2, ?3 (that is the one we whould get if we start from the
- * beta-normalized A1 -> A2 -> A3 -> P **)
- | t -> (CicReduction.normalize ~delta:false context t),[],[],newmeta
- in
- (* WARNING: here we are using the invariant that above the most *)
- (* recente new_meta() there are no used metas. *)
- let (res,newmetasenv,arguments,lastmeta) = aux newmeta ty in
- res,newmetasenv,arguments,lastmeta
-
(* Useful only inside apply_tac *)
let
generalize_exp_named_subst_with_fresh_metas context newmeta uri exp_named_subst
[],[] -> []
| uri::tl,[] ->
let ty =
- let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
+ let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
match o with
- C.Variable (_,_,ty,_,_) ->
- CicSubstitution.subst_vars !exp_named_subst_diff ty
- | _ -> raise (WrongUriToVariable (UriManager.string_of_uri uri))
+ C.Variable (_,_,ty,_,_) ->
+ CicSubstitution.subst_vars !exp_named_subst_diff ty
+ | _ -> raise (WrongUriToVariable (UriManager.string_of_uri uri))
in
(* CSC: patch to generate ?1 : ?2 : Type in place of ?1 : Type to simulate ?1 :< Type
(match ty with
let subst_item = uri,C.Meta (fresh_meta',[]) in
newmetasenvfragment :=
(fresh_meta,[],C.Sort (C.Type (CicUniv.fresh()))) ::
- (* TASSI: ?? *)
+ (* TASSI: ?? *)
(fresh_meta',[],C.Meta (fresh_meta,[])) :: !newmetasenvfragment ;
exp_named_subst_diff := !exp_named_subst_diff @ [subst_item] ;
subst_item::(aux (tl,[]))
new_fresh_meta,newmetasenvfragment,exp_named_subst',exp_named_subst_diff
;;
-let new_metasenv_and_unify_and_t newmeta' metasenv' proof context term' ty termty =
- let (consthead,newmetas,arguments,_) =
- new_metasenv_for_apply newmeta' proof context termty
- in
- let newmetasenv = metasenv'@newmetas in
+let new_metasenv_and_unify_and_t newmeta' metasenv' context term' ty termty goal_arity =
+ let (consthead,newmetasenv,arguments,_) =
+ saturate_term newmeta' metasenv' context termty goal_arity in
let subst,newmetasenv',_ =
- CicUnification.fo_unif newmetasenv context consthead ty CicUniv.empty_ugraph
+ CicUnification.fo_unif newmetasenv context consthead ty CicUniv.empty_ugraph
in
let t =
- if List.length newmetas = 0 then term' else Cic.Appl (term'::arguments)
+ if List.length arguments = 0 then term' else Cic.Appl (term'::arguments)
in
subst,newmetasenv',t
+let rec count_prods context ty =
+ match CicReduction.whd context ty with
+ Cic.Prod (n,s,t) -> 1 + count_prods (Some (n,Cic.Decl s)::context) t
+ | _ -> 0
+
let apply_tac_verbose ~term (proof, goal) =
(* Assumption: The term "term" must be closed in the current context *)
let module T = CicTypeChecker in
let termty,_ =
CicTypeChecker.type_of_aux' metasenv' context term' CicUniv.empty_ugraph in
let termty =
- CicSubstitution.subst_vars exp_named_subst_diff termty
- in
+ CicSubstitution.subst_vars exp_named_subst_diff termty in
+ let goal_arity = count_prods context ty in
let subst,newmetasenv',t =
+ let rec add_one_argument n =
try
- new_metasenv_and_unify_and_t newmeta' metasenv' proof context term' ty
- termty
- with CicUnification.UnificationFailure _ ->
- new_metasenv_and_unify_and_t newmeta' metasenv' proof context term' ty
- (CicReduction.whd context termty)
+ new_metasenv_and_unify_and_t newmeta' metasenv' context term' ty
+ termty n
+ with CicUnification.UnificationFailure _ when n > 0 ->
+ add_one_argument (n - 1)
+ in
+ add_one_argument goal_arity
in
let in_subst_domain i = List.exists (function (j,_) -> i=j) subst in
let apply_subst = CicMetaSubst.apply_subst subst in
(* prerr_endline ("me: " ^ CicMetaSubst.ppmetasenv newmetasenv'' subst); *)
let subst_in =
(* if we just apply the subtitution, the type is irrelevant:
- we may use Implicit, since it will be dropped *)
+ we may use Implicit, since it will be dropped *)
CicMetaSubst.apply_subst ((metano,(context,bo',Cic.Implicit None))::subst)
in
let (newproof, newmetasenv''') =
try
apply_tac_verbose ~term status
(* TODO cacciare anche altre eccezioni? *)
- with CicUnification.UnificationFailure _ as e ->
- raise (Fail (Printexc.to_string e))
+ with
+ | CicUnification.UnificationFailure _ as e ->
+ raise (Fail (Printexc.to_string e))
+ | CicTypeChecker.TypeCheckerFailure _ as e ->
+ raise (Fail (Printexc.to_string e))
(* TODO per implementare i tatticali e' necessario che tutte le tattiche
sollevino _solamente_ Fail *)
try
apply_tac ~term status
(* TODO cacciare anche altre eccezioni? *)
- with CicUnification.UnificationFailure _ as e ->
- raise (Fail (Printexc.to_string e))
+ with
+ | CicUnification.UnificationFailure _ as e ->
+ raise (Fail (Printexc.to_string e))
+ | CicTypeChecker.TypeCheckerFailure _ as e ->
+ raise (Fail (Printexc.to_string e))
in
mk_tactic (apply_tac ~term)
let (curi,metasenv,proofbo,proofty) = proof in
let metano,context,ty = CicUtil.lookup_meta goal metasenv in
let termty,_ = T.type_of_aux' metasenv context term CicUniv.empty_ugraph in
- (* TASSI: FIXME *)
+ let (termty,metasenv',arguments,fresh_meta) =
+ ProofEngineHelpers.saturate_term
+ (ProofEngineHelpers.new_meta_of_proof proof) metasenv context termty 0 in
+ let term = if arguments = [] then term else Cic.Appl (term::arguments) in
let uri,exp_named_subst,typeno,args =
match termty with
C.MutInd (uri,typeno,exp_named_subst) -> (uri,exp_named_subst,typeno,[])
let eliminator_uri =
let buri = U.buri_of_uri uri in
let name =
- let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
+ let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
match o with
C.InductiveDefinition (tys,_,_,_) ->
let (name,_,_,_) = List.nth tys typeno in
name
| _ -> assert false
in
- let ty_ty,_ = T.type_of_aux' metasenv context ty CicUniv.empty_ugraph in
- (* TASSI: FIXME *)
+ let ty_ty,_ = T.type_of_aux' metasenv' context ty CicUniv.empty_ugraph in
let ext =
match ty_ty with
C.Sort C.Prop -> "_ind"
in
let eliminator_ref = C.Const (eliminator_uri,exp_named_subst) in
let ety,_ =
- T.type_of_aux' metasenv context eliminator_ref CicUniv.empty_ugraph in
+ T.type_of_aux' metasenv' context eliminator_ref CicUniv.empty_ugraph in
let rec find_args_no =
function
C.Prod (_,_,t) -> 1 + find_args_no t
C.Appl (eliminator_ref :: make_tl term (args_no - 1))
in
let metasenv', term_to_refine' =
- CicMkImplicit.expand_implicits metasenv [] context term_to_refine in
- let refined_term,_,metasenv'',_ = (* TASSI: FIXME *)
+ CicMkImplicit.expand_implicits metasenv' [] context term_to_refine in
+ let refined_term,_,metasenv'',_ =
CicRefine.type_of_aux' metasenv' context term_to_refine'
- CicUniv.empty_ugraph
+ CicUniv.empty_ugraph
in
let new_goals =
ProofEngineHelpers.compare_metasenvs
mk_tactic (elim_tac ~term)
;;
-let elim_intros_tac ~term =
- Tacticals.then_ ~start:(elim_tac ~term)
- ~continuation:(intros_tac ())
+let elim_intros_tac ?(mk_fresh_name_callback = FreshNamesGenerator.mk_fresh_name ~subst:[])
+ ?depth ?using what =
+ Tacticals.then_ ~start:(elim_tac ~term:what)
+ ~continuation:(intros_tac ~mk_fresh_name_callback ?howmany:depth ())
;;
(* The simplification is performed only on the conclusion *)
-let elim_intros_simpl_tac ~term =
- Tacticals.then_ ~start:(elim_tac ~term)
+let elim_intros_simpl_tac ?(mk_fresh_name_callback = FreshNamesGenerator.mk_fresh_name ~subst:[])
+ ?depth ?using what =
+ Tacticals.then_ ~start:(elim_tac ~term:what)
~continuation:
(Tacticals.thens
- ~start:(intros_tac ())
+ ~start:(intros_tac ~mk_fresh_name_callback ?howmany:depth ())
~continuations:
[ReductionTactics.simpl_tac
~pattern:(ProofEngineTypes.conclusion_pattern None)])
;;
-
-exception NotConvertible
-
-(* Note: this code is almost identical to ReductionTactics.reduction_tac and
-* it could be unified by making the change function a callback *)
-(* CSC: with_what is parsed in the context of the goal, but it should replace
- something that lives in a completely different context. Thus we
- perform a delift + lift phase to move it in the right context. However,
- in this way the tactic is less powerful than expected: with_what cannot
- reference variables that are local to the term that is going to be
- replaced. To fix this we should parse with_what in the context of the
- term(s) to be replaced. *)
-let change_tac ~pattern with_what =
- let change_tac ~pattern ~with_what (proof, goal) =
- let curi,metasenv,pbo,pty = proof in
- let (metano,context,ty) as conjecture = CicUtil.lookup_meta goal metasenv in
- let context_len = List.length context in
- let change context'_len where terms =
- if terms = [] then where
- else
- let terms, terms' =
- List.split
- (List.map
- (fun (context_of_t, t) ->
- let context_of_t_len = List.length context_of_t in
- let with_what_in_context' =
- if context_len > context'_len then
- begin
- let with_what,subst,metasenv' =
- CicMetaSubst.delift_rels [] metasenv
- (context_len - context'_len) with_what
- in
- assert (subst = []);
- assert (metasenv = metasenv');
- with_what
- end
- else
- with_what in
- let with_what_in_context_of_t =
- if context_of_t_len > context'_len then
- CicSubstitution.lift (context_of_t_len - context'_len)
- with_what_in_context'
- else
- with_what
- in
- t, with_what_in_context_of_t) terms)
- in
- ProofEngineReduction.replace ~equality:(==) ~what:terms ~with_what:terms'
- ~where:where in
- let (selected_context,selected_ty) =
- ProofEngineHelpers.select ~metasenv ~conjecture ~pattern in
- let ty' = change context_len ty selected_ty in
- let context' =
- List.fold_right2
- (fun entry selected_entry context' ->
- let context'_len = List.length context' in
- match entry,selected_entry with
- None,None -> None::context'
- | Some (name,Cic.Decl ty),Some (`Decl selected_ty) ->
- let ty' = change context'_len ty selected_ty in
- Some (name,Cic.Decl ty')::context'
- | Some (name,Cic.Def (bo,ty)),Some (`Def (selected_bo,selected_ty)) ->
- let bo' = change context'_len bo selected_bo in
- let ty' =
- match ty,selected_ty with
- None,None -> None
- | Some ty,Some selected_ty ->
- Some (change context'_len ty selected_ty)
- | _,_ -> assert false
- in
- Some (name,Cic.Def (bo',ty'))::context'
- | _,_ -> assert false
- ) context selected_context [] in
- let metasenv' =
- List.map (function
- | (n,_,_) when n = metano -> (metano,context',ty')
- | _ as t -> t
- ) metasenv
- in
- (curi,metasenv',pbo,pty), [metano]
- in
- mk_tactic (change_tac ~pattern ~with_what)