* http://cs.unibo.it/helm/.
*)
-open CicReduction
+(* open CicReduction
open ProofEngineTypes
-open UriManager
+open UriManager *)
(** DEBUGGING *)
(** perform debugging output? *)
let debug = false
+let debug_print = fun _ -> ()
(** debugging print *)
-let warn s =
- if debug then
- prerr_endline ("TACTICALS WARNING: " ^ s)
-
-
-(** TACTIC{,AL}S *)
-
- (* not a tactical, but it's used only here (?) *)
-
-let id_tac (proof,goal) = (proof,[goal])
-
+let info s = debug_print (lazy ("TACTICALS INFO: " ^ (Lazy.force s)))
+
+let id_tac =
+ let id_tac (proof,goal) =
+ let _, metasenv, _, _ = proof in
+ let _, _, _ = CicUtil.lookup_meta goal metasenv in
+ (proof,[goal])
+ in
+ ProofEngineTypes.mk_tactic id_tac
+
+let fail_tac =
+ let fail_tac (proof,goal) =
+ let _, metasenv, _, _ = proof in
+ let _, _, _ = CicUtil.lookup_meta goal metasenv in
+ raise (ProofEngineTypes.Fail (lazy "fail tactical"))
+ in
+ ProofEngineTypes.mk_tactic fail_tac
+
+type goal = ProofEngineTypes.goal
+
+ (** TODO needed until tactics start returning both opened and closed goals
+ * First part of the function performs a diff among goals ~before tactic
+ * application and ~after it. Second part will add as both opened and closed
+ * the goals which are returned as opened by the tactic *)
+let goals_diff ~before ~after ~opened =
+ let sort_opened opened add =
+ opened @ (List.filter (fun g -> not (List.mem g opened)) add)
+ in
+ let remove =
+ List.fold_left
+ (fun remove e -> if List.mem e after then remove else e :: remove)
+ [] before
+ in
+ let add =
+ List.fold_left
+ (fun add e -> if List.mem e before then add else e :: add)
+ []
+ after
+ in
+ let add, remove = (* adds goals which have been both opened _and_ closed *)
+ List.fold_left
+ (fun (add, remove) opened_goal ->
+ if List.mem opened_goal before
+ then opened_goal :: add, opened_goal :: remove
+ else add, remove)
+ (add, remove)
+ opened
+ in
+ sort_opened opened add, remove
+
+module type T =
+sig
+ type tactic
+ val first: tactics: (string * tactic) list -> tactic
+ val thens: start: tactic -> continuations: tactic list -> tactic
+ val then_: start: tactic -> continuation: tactic -> tactic
+ val seq: tactics: tactic list -> tactic
+ val repeat_tactic: tactic: tactic -> tactic
+ val do_tactic: n: int -> tactic: tactic -> tactic
+ val try_tactic: tactic: tactic -> tactic
+ val solve_tactics: tactics: (string * tactic) list -> tactic
+
+ val tactic: tactic -> tactic
+ val skip: tactic
+ val dot: tactic
+ val semicolon: tactic
+ val branch: tactic
+ val shift: tactic
+ val pos: int -> tactic
+ val merge: tactic
+ val focus: int list -> tactic
+ val unfocus: tactic
+end
+
+module Make (S: Continuationals.Status) : T with type tactic = S.tactic =
+struct
+ module C = Continuationals.Make (S)
+
+ type tactic = S.tactic
+
+ let fold_eval status ts =
+ let istatus =
+ List.fold_left (fun istatus t -> S.focus ~-1 (C.eval t istatus)) status ts
+ in
+ S.inject istatus
(**
naive implementation of ORELSE tactical, try a sequence of tactics in turn:
if one fails pass to the next one and so on, eventually raises (failure "no
tactics left")
- TODO warning: not tail recursive due to "try .. with" boxing
-
- Galla: is this exactly Coq's "First"?
-
*)
-let rec try_tactics ~(tactics: (string * tactic) list) status =
- warn "in Tacticals.try_tactics";
- match tactics with
- | (descr, tac)::tactics ->
- warn ("Tacticals.try_tactics IS TRYING " ^ descr);
- (try
- let res = tac status in
- warn ("Tacticals.try_tactics: " ^ descr ^ " succedeed!!!");
- res
- with
- e ->
- match e with
- (Fail _)
- | (CicTypeChecker.TypeCheckerFailure _)
- | (CicUnification.UnificationFailure _) ->
- warn (
- "Tacticals.try_tactics failed with exn: " ^
- Printexc.to_string e);
- try_tactics ~tactics status
- | _ -> raise e (* [e] must not be caught ; let's re-raise it *)
- )
- | [] -> raise (Fail "try_tactics: no tactics left")
-
-
-
-let thens ~start ~continuations status =
- let (proof,new_goals) = start status in
- try
- List.fold_left2
- (fun (proof,goals) goal tactic ->
- let (proof',new_goals') = tactic (proof,goal) in
- (proof',goals@new_goals')
- ) (proof,[]) new_goals continuations
- with
- Invalid_argument _ -> raise (Fail "thens: wrong number of new goals")
-
-
-
-let then_ ~start ~continuation status =
- let (proof,new_goals) = start status in
- List.fold_left
- (fun (proof,goals) goal ->
- let (proof',new_goals') = continuation (proof,goal) in
- (proof',goals@new_goals')
- ) (proof,[]) new_goals
-
-
-(* Galla *)
-(* si suppone che tutte le tattiche sollevino solamente Fail? *)
-
-
-(* TODO: x debug: i due tatticali seguenti non contano quante volte hanno applicato la tattica *)
-
-(* This keep on appling tactic until it fails *)
-(* When <tactic> generates more than one goal, you have a tree of
- application on the tactic, repeat_tactic works in depth on this tree *)
-
-let rec repeat_tactic ~tactic status =
- warn "in repeat_tactic";
- try let (proof, goallist) = tactic status in
- let rec step proof goallist =
- match goallist with
- [] -> (proof, [])
- | head::tail ->
- let (proof', goallist') = repeat_tactic ~tactic (proof, head) in
- let (proof'', goallist'') = step proof' tail in
- proof'', goallist'@goallist''
+ let first ~tactics =
+ let rec first ~(tactics: (string * tactic) list) istatus =
+ info (lazy "in Tacticals.first");
+ match tactics with
+ | (descr, tac)::tactics ->
+ info (lazy ("Tacticals.first IS TRYING " ^ descr));
+ (try
+ let res = S.apply_tactic tac istatus in
+ info (lazy ("Tacticals.first: " ^ descr ^ " succedeed!!!"));
+ res
+ with
+ e ->
+ match e with
+ | (ProofEngineTypes.Fail _)
+ | (CicTypeChecker.TypeCheckerFailure _)
+ | (CicUnification.UnificationFailure _) ->
+ info (lazy (
+ "Tacticals.first failed with exn: " ^
+ Printexc.to_string e));
+ first ~tactics istatus
+ | _ -> raise e) (* [e] must not be caught ; let's re-raise it *)
+ | [] -> raise (ProofEngineTypes.Fail (lazy "first: no tactics left"))
+ in
+ S.mk_tactic (first ~tactics)
+
+ let thens ~start ~continuations =
+ S.mk_tactic
+ (fun istatus ->
+ fold_eval istatus
+ ([ C.Tactical (C.Tactic start); C.Branch ]
+ @ (HExtlib.list_concat ~sep:[ C.Shift ]
+ (List.map (fun t -> [ C.Tactical (C.Tactic t) ]) continuations))
+ @ [ C.Merge ]))
+
+ let then_ ~start ~continuation =
+ S.mk_tactic
+ (fun istatus ->
+ let ostatus = C.eval (C.Tactical (C.Tactic start)) istatus in
+ let opened,closed = S.goals ostatus in
+ match opened with
+ [] -> ostatus
+ | _ ->
+ fold_eval (S.focus ~-1 ostatus)
+ [ C.Semicolon;
+ C.Tactical (C.Tactic continuation) ])
+
+ let seq ~tactics =
+ S.mk_tactic
+ (fun istatus ->
+ fold_eval istatus
+ (HExtlib.list_concat ~sep:[ C.Semicolon ]
+ (List.map (fun t -> [ C.Tactical (C.Tactic t) ]) tactics)))
+
+ (* TODO: x debug: i due tatticali seguenti non contano quante volte hanno
+ * applicato la tattica *)
+
+ let rec step f output_status opened closed =
+ match opened with
+ | [] -> output_status, [], closed
+ | head :: tail ->
+ let status = S.focus head output_status in
+ let output_status' = f status in
+ let opened', closed' = S.goals output_status' in
+ let output_status'', opened'', closed'' =
+ step f output_status' tail []
+ in
+ output_status'', opened' @ opened'', closed' @ closed''
+
+ (* This keep on appling tactic until it fails. When <tactic> generates more
+ * than one goal, you have a tree of application on the tactic, repeat_tactic
+ * works in depth on this tree *)
+ let repeat_tactic ~tactic =
+ let rec repeat_tactic ~tactic status =
+ info (lazy "in repeat_tactic");
+ try
+ let output_status = S.apply_tactic tactic status in
+ let opened, closed = S.goals output_status in
+ let output_status, opened', closed' =
+ step (repeat_tactic ~tactic) output_status opened closed
+ in
+ S.set_goals (opened', closed') output_status
+ with
+ (ProofEngineTypes.Fail _) as e ->
+ info (lazy
+ ("Tacticals.repeat_tactic failed after nth time with exception: "
+ ^ Printexc.to_string e));
+ S.apply_tactic S.id_tactic status
+ in
+ S.mk_tactic (repeat_tactic ~tactic)
+
+ (* This tries to apply tactic n times *)
+ let do_tactic ~n ~tactic =
+ let rec do_tactic ~n ~tactic status =
+ if n = 0 then
+ S.apply_tactic S.id_tactic status
+ else
+ try
+ let output_status = S.apply_tactic tactic status in
+ let opened, closed = S.goals output_status in
+ let output_status, opened', closed' =
+ step (do_tactic ~n:(n-1) ~tactic) output_status opened closed
+ in
+ S.set_goals (opened', closed') output_status
+ with
+ (ProofEngineTypes.Fail _) as e ->
+ info (lazy
+ ("Tacticals.do_tactic failed after nth time with exception: "
+ ^ Printexc.to_string e)) ;
+ S.apply_tactic S.id_tactic status
in
- step proof goallist
- with
- (Fail _) as e ->
- warn ("Tacticals.repeat_tactic failed after nth time with exception: " ^ Printexc.to_string e) ;
- id_tac status
-;;
-
-
-
-(* This tries to apply tactic n times *)
-
-let rec do_tactic ~n ~tactic status =
- warn "in do_tactic";
- try
- let (proof, goallist) =
- if (n>0) then tactic status
- else id_tac status in
-(* else (proof, []) in *)(* perche' non va bene questo? stessa questione di ##### ? *)
- let rec step proof goallist =
- match goallist with
- [] -> (proof, [])
- | head::tail ->
- let (proof', goallist') = do_tactic ~n:(n-1) ~tactic (proof, head) in
- let (proof'', goallist'') = step proof' tail in
- proof'', goallist'@goallist''
+ S.mk_tactic (do_tactic ~n ~tactic)
+
+ (* This applies tactic and catches its possible failure *)
+ let try_tactic ~tactic =
+ let rec try_tactic ~tactic status =
+ info (lazy "in Tacticals.try_tactic");
+ try
+ S.apply_tactic tactic status
+ with
+ (ProofEngineTypes.Fail _) as e ->
+ info (lazy (
+ "Tacticals.try_tactic failed with exn: " ^ Printexc.to_string e));
+ S.apply_tactic S.id_tactic status
in
- step proof goallist
- with
- (Fail _) as e ->
- warn ("Tacticals.do_tactic failed after nth time with exception: " ^ Printexc.to_string e) ;
- id_tac status
-;;
-
-
-
-(* This applies tactic and catches its possible failure *)
-
-let rec try_tactic ~tactic status =
- warn "in Tacticals.try_tactic";
- try
- tactic status
- with
- (Fail _) as e ->
- warn ( "Tacticals.try_tactic failed with exn: " ^ Printexc.to_string e);
- id_tac status
-;;
-
-
-(* This tries tactics until one of them doesn't _solve_ the goal *)
-(* TODO: si puo' unificare le 2(due) chiamate ricorsive? *)
-
-let rec solve_tactics ~(tactics: (string * tactic) list) status =
- warn "in Tacticals.solve_tactics";
- match tactics with
- | (descr, currenttactic)::moretactics ->
- warn ("Tacticals.solve_tactics is trying " ^ descr);
- (try
- let (proof, goallist) = currenttactic status in
- match goallist with
- [] -> warn ("Tacticals.solve_tactics: " ^ descr ^ " solved the goal!!!");
-(* questo significa che non ci sono piu' goal, o che current_tactic non ne ha aperti di nuovi? (la 2a!) ##### *)
-(* nel secondo caso basta per dire che solve_tactics has solved the goal? (si!) *)
- (proof, goallist)
- | _ -> warn ("Tacticals.solve_tactics: try the next tactic");
- solve_tactics ~tactics:(moretactics) status
- with
- (Fail _) as e ->
- warn ("Tacticals.solve_tactics: current tactic failed with exn: " ^ Printexc.to_string e);
- solve_tactics ~tactics status
- )
- | [] -> raise (Fail "solve_tactics cannot solve the goal");
- id_tac status
-;;
-
-
-
-
-
-
-
-
-
-
- (** tattica di prova per debuggare i tatticali *)
-(*
-let thens' ~start ~continuations status =
- let (proof,new_goals) = start status in
- try
- List.fold_left2
- (fun (proof,goals) goal tactic ->
- let (proof',new_goals') = tactic (proof,goal) in
- (proof',goals@new_goals')
- ) (proof,[]) new_goals continuations
- with
- Invalid_argument _ -> raise (Fail "thens: wrong number of new goals")
-
-let prova_tac =
- let apply_T_tac status =
- let (proof, goal) = status in
- let curi,metasenv,pbo,pty = proof in
- let metano,context,gty = CicUtil.lookup_meta goal metasenv in
- let rel =
- let rec find n =
- function
- [] -> assert false
- | (Some (Cic.Name name,_))::_ when name = "T" -> n
- | _::tl -> find (n+1) tl
- in
- prerr_endline ("eseguo find");
- find 1 context
+ S.mk_tactic (try_tactic ~tactic)
+
+ (* This tries tactics until one of them doesn't _solve_ the goal *)
+ (* TODO: si puo' unificare le 2(due) chiamate ricorsive? *)
+ let solve_tactics ~tactics =
+ let rec solve_tactics ~(tactics: (string * tactic) list) status =
+ info (lazy "in Tacticals.solve_tactics");
+ match tactics with
+ | (descr, currenttactic)::moretactics ->
+ info (lazy ("Tacticals.solve_tactics is trying " ^ descr));
+ (try
+ let output_status = S.apply_tactic currenttactic status in
+ let opened, closed = S.goals output_status in
+ match opened with
+ | [] -> info (lazy ("Tacticals.solve_tactics: " ^ descr ^
+ " solved the goal!!!"));
+ (* questo significa che non ci sono piu' goal, o che current_tactic non ne ha
+ * aperti di nuovi? (la 2a!) ##### nel secondo caso basta per dire che
+ * solve_tactics has solved the goal? (si!) *)
+ output_status
+ | _ -> info (lazy ("Tacticals.solve_tactics: try the next tactic"));
+ solve_tactics ~tactics:(moretactics) status
+ with
+ (ProofEngineTypes.Fail _) as e ->
+ info (lazy (
+ "Tacticals.solve_tactics: current tactic failed with exn: "
+ ^ Printexc.to_string e));
+ solve_tactics ~tactics status
+ )
+ | [] ->
+ raise (ProofEngineTypes.Fail
+ (lazy "solve_tactics cannot solve the goal"))
in
- prerr_endline ("eseguo apply");
- apply_tac ~term:(Cic.Rel rel) status
- in
-(* do_tactic ~n:2 *)
- repeat_tactic
- ~tactic:
- (then_
- ~start:(intros_tac ~name:"pippo")
- ~continuation:(thens' ~start:apply_T_tac ~continuations:[id_tac ; apply_tac ~term:(Cic.Rel 1)]))
-(* id_tac *)
-;;
-*)
-
+ S.mk_tactic (solve_tactics ~tactics)
+
+ let cont_proxy cont = S.mk_tactic (C.eval cont)
+
+ let tactic t = cont_proxy (C.Tactical (C.Tactic t))
+ let skip = cont_proxy (C.Tactical C.Skip)
+ let dot = cont_proxy C.Dot
+ let semicolon = cont_proxy C.Semicolon
+ let branch = cont_proxy C.Branch
+ let shift = cont_proxy C.Shift
+ let pos i = cont_proxy (C.Pos i)
+ let merge = cont_proxy C.Merge
+ let focus goals = cont_proxy (C.Focus goals)
+ let unfocus = cont_proxy C.Unfocus
+end
+
+module ProofEngineStatus =
+struct
+ module Stack = Continuationals.Stack
+
+ type input_status =
+ ProofEngineTypes.status (* (proof, goal) *) * Stack.t
+
+ type output_status =
+ (ProofEngineTypes.proof * goal list * goal list) * Stack.t
+
+ type tactic = ProofEngineTypes.tactic
+
+ let id_tactic = id_tac
+
+ let mk_tactic f =
+ ProofEngineTypes.mk_tactic
+ (fun (proof, goal) as pstatus ->
+ let stack = [ [ 1, Stack.Open goal ], [], [], `NoTag ] in
+ let istatus = pstatus, stack in
+(* let ostatus = f istatus in
+ let ((proof, opened, _), _) = ostatus in *)
+ let (proof, _, _), stack = f istatus in
+ let opened = Continuationals.Stack.open_goals stack in
+ proof, opened)
+
+ let apply_tactic tac ((proof, _) as pstatus, stack) =
+ let proof', opened = ProofEngineTypes.apply_tactic tac pstatus in
+(* let _ = prerr_endline ("goal aperti dalla tattica " ^ String.concat "," (List.map string_of_int opened)) in *)
+ let before = ProofEngineTypes.goals_of_proof proof in
+ let after = ProofEngineTypes.goals_of_proof proof' in
+ let opened_goals, closed_goals = goals_diff ~before ~after ~opened in
+(* let _ = prerr_endline ("goal ritornati dalla tattica " ^ String.concat "," (List.map string_of_int opened_goals)) in *)
+ (proof', opened_goals, closed_goals), stack
+
+ let goals ((_, opened, closed), _) = opened, closed
+ let set_goals (opened, closed) ((proof, _, _), stack) =
+ (proof, opened, closed), stack
+
+ let get_stack = snd
+ let set_stack stack (opstatus, _) = opstatus, stack
+
+ let inject ((proof, _), stack) = ((proof, [], []), stack)
+ let focus goal ((proof, _, _), stack) = (proof, goal), stack
+end
+
+module ProofEngineTacticals = Make (ProofEngineStatus)
+
+include ProofEngineTacticals
projects / helm.git / blobdiff