-(* The term bo must be closed in the current context *)
-let apply term =
- let module T = CicTypeChecker in
- let module R = CicReduction in
- let module C = Cic in
- let metasenv =
- match !proof with
- None -> assert false
- | Some (metasenv,_,_) -> metasenv
- in
- let (metano,context,ty) =
- match !goal with
- None -> assert false
- | Some (metano,(context,ty)) ->
- assert (ty = List.assoc metano metasenv) ;
- (* Invariant: context is the actual context of the meta in the proof *)
- metano,context,ty
- in
- (*CSC: deve sparire! *)
- let ciccontext = cic_context_of_context context in
- let mgu,mgut = CicUnification.apply metasenv ciccontext term ty in
- let mgul = Array.to_list mgu in
- let mgutl = Array.to_list mgut in
- let applymetas_to_metas =
- let newmeta = new_meta () in
- (* WARNING: here we are using the invariant that above the most *)
- (* recente new_meta() there are no used metas. *)
- Array.init (List.length mgul) (function i -> newmeta + i) in
- (* WARNING!!!!!!!!!!!!!!!!!!!!!!!!!!!!! *)
- (* Here we assume that either a META has been instantiated with *)
- (* a close term or with itself. *)
- let uninstantiatedmetas =
- List.fold_right2
- (fun bo ty newmetas ->
- match bo with
- Cic.Meta i ->
- let newmeta = applymetas_to_metas.(i) in
- (*CSC: se ty contiene metas, queste hanno il numero errato!!! *)
- let ty_with_newmetas =
- (* Substitues (META n) with (META (applymetas_to_metas.(n))) *)
- let rec aux =
- function
- C.Rel _
- | C.Var _ as t -> t
- | C.Meta n -> C.Meta (applymetas_to_metas.(n))
- | C.Sort _
- | C.Implicit as t -> t
- | C.Cast (te,ty) -> C.Cast (aux te, aux ty)
- | C.Prod (n,s,t) -> C.Prod (n, aux s, aux t)
- | C.Lambda (n,s,t) -> C.Lambda (n, aux s, aux t)
- | C.LetIn (n,s,t) -> C.LetIn (n, aux s, aux t)
- | C.Appl l -> C.Appl (List.map aux l)
- | C.Const _ as t -> t
- | C.Abst _ -> assert false
- | C.MutInd _
- | C.MutConstruct _ as t -> t
- | C.MutCase (sp,cookingsno,i,outt,t,pl) ->
- C.MutCase (sp,cookingsno,i,aux outt, aux t,
- List.map aux pl)
- | C.Fix (i,fl) ->
- let substitutedfl =
- List.map
- (fun (name,i,ty,bo) -> (name, i, aux ty, aux bo))
- fl
- in
- C.Fix (i, substitutedfl)
- | C.CoFix (i,fl) ->
- let substitutedfl =
- List.map
- (fun (name,ty,bo) -> (name, aux ty, aux bo))
- fl
- in
- C.CoFix (i, substitutedfl)
- in
- aux ty
- in
- (newmeta,ty_with_newmetas)::newmetas
- | _ -> newmetas
- ) mgul mgutl []
- in
- let mgul' =
- List.map
- (function
- Cic.Meta i -> Cic.Meta (applymetas_to_metas.(i))
- | _ as t -> t
- ) mgul in
- let bo' =
- if List.length mgul' = 0 then
- term
- else
- Cic.Appl (term::mgul')
- in
- refine_meta metano bo' uninstantiatedmetas ;
- match uninstantiatedmetas with
- (n,ty)::tl -> goal := Some (n,(context,ty))
- | [] -> goal := None
-;;
+let whd = reduction_tactic CicReduction.whd
+let reduce = reduction_tactic ProofEngineReduction.reduce
+let simpl = reduction_tactic ProofEngineReduction.simpl
+
+let whd_in_scratch = reduction_tactic_in_scratch CicReduction.whd
+let reduce_in_scratch =
+ reduction_tactic_in_scratch ProofEngineReduction.reduce
+let simpl_in_scratch =
+ reduction_tactic_in_scratch ProofEngineReduction.simpl
+
+(* It is just the opposite of whd. The code should probably be merged. *)
+let fold term =
+ let curi,metasenv,pbo,pty =
+ match !proof with
+ None -> assert false
+ | Some (curi,metasenv,bo,ty) -> curi,metasenv,bo,ty
+ in
+ let metano,context,ty =
+ match !goal with
+ None -> assert false
+ | Some metano -> List.find (function (m,_,_) -> m=metano) metasenv
+ in
+ let term' = CicReduction.whd context term in
+ (* We don't know if [term] is a subterm of [ty] or a subterm of *)
+ (* the type of one metavariable. So we replace it everywhere. *)
+ (*CSC: ma si potrebbe ovviare al problema. Ma non credo *)
+ (*CSC: che si guadagni nulla in fatto di efficienza. *)
+ let replace =
+ ProofEngineReduction.replace
+ ~equality:
+ (ProofEngineReduction.syntactic_equality ~alpha_equivalence:false)
+ ~what:term' ~with_what:term
+ in
+ let ty' = replace ty in
+ let context' =
+ List.map
+ (function
+ Some (n,Cic.Decl t) -> Some (n,Cic.Decl (replace t))
+ | Some (n,Cic.Def t) -> Some (n,Cic.Def (replace t))
+ | None -> None
+ ) context
+ in
+ let metasenv' =
+ List.map
+ (function
+ (n,_,_) when n = metano -> (metano,context',ty')
+ | _ as t -> t
+ ) metasenv
+ in
+ proof := Some (curi,metasenv',pbo,pty) ;
+ goal := Some metano
+
+(************************************************************)
+(* Tactics defined elsewhere *)
+(************************************************************)
+
+ (* primitive tactics *)
+
+let apply term = apply_tactic (PrimitiveTactics.apply_tac ~term)
+let intros () =
+ apply_tactic (PrimitiveTactics.intros_tac ~name:(fresh_name ()))
+let cut term = apply_tactic (PrimitiveTactics.cut_tac ~term)
+let letin term = apply_tactic (PrimitiveTactics.letin_tac ~term)
+let exact term = apply_tactic (PrimitiveTactics.exact_tac ~term)
+let elim_intros_simpl term =
+ apply_tactic (PrimitiveTactics.elim_intros_simpl_tac ~term)
+let change ~goal_input:what ~input:with_what =
+ apply_tactic (PrimitiveTactics.change_tac ~what ~with_what)
+
+ (* structural tactics *)
+
+let clearbody hyp = apply_tactic (ProofEngineStructuralRules.clearbody ~hyp)
+let clear hyp = apply_tactic (ProofEngineStructuralRules.clear ~hyp)
+
+ (* other tactics *)
+
+let elim_type term = apply_tactic (Ring.elim_type_tac ~term)
+let ring () = apply_tactic Ring.ring_tac
+let fourier () = apply_tactic FourierR.fourier_tac
+let rewrite_simpl term = apply_tactic (FourierR.rewrite_simpl_tac ~term)