src/Pure/Thy/thm_deps.ML
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(*  Title:      Pure/Thy/thm_deps.ML
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    Author:     Stefan Berghofer, TU Muenchen
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Visualize dependencies of theorems.
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*)
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signature THM_DEPS =
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sig
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  val thm_deps: thm list -> unit
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  val unused_thms: theory list * theory list -> (string * thm) list
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end;
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structure ThmDeps: THM_DEPS =
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struct
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(* thm_deps *)
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fun thm_deps thms =
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  let
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    fun add_dep ("", _, _) = I
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      | add_dep (name, _, PBody {thms = thms', ...}) =
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          let
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            val prefix = #1 (Library.split_last (Long_Name.explode name));
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            val session =
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              (case prefix of
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                a :: _ =>
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                  (case ThyInfo.lookup_theory a of
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                    SOME thy =>
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                      (case Present.session_name thy of
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                        "" => []
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                      | session => [session])
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                  | NONE => [])
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               | _ => ["global"]);
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            val parents = filter_out (fn s => s = "") (map (#1 o #2) thms');
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            val entry =
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              {name = Long_Name.base_name name,
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               ID = name,
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               dir = space_implode "/" (session @ prefix),
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               unfold = false,
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               path = "",
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               parents = parents};
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          in cons entry end;
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    val deps = Proofterm.fold_body_thms add_dep (map Thm.proof_body_of thms) [];
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  in Present.display_graph (sort_wrt #ID deps) end;
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(* unused_thms *)
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fun unused_thms (base_thys, thys) =
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  let
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    fun add_fact (name, ths) =
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      if exists (fn thy => PureThy.defined_fact thy name) base_thys then I
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      else fold_rev (fn th => (case Thm.get_name th of "" => I | a => cons (a, th))) ths;
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    val thms =
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      fold (Facts.fold_static add_fact o PureThy.facts_of) thys []
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      |> sort_distinct (string_ord o pairself #1);
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    val tab = Proofterm.fold_body_thms
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      (fn (name, prop, _) => name <> "" ? Symtab.insert_list (op =) (name, prop))
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      (map (Proofterm.strip_thm o Thm.proof_body_of o snd) thms) Symtab.empty;
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    fun is_unused (name, th) =
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      not (member (op aconv) (Symtab.lookup_list tab name) (Thm.prop_of th));
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    (* groups containing at least one used theorem *)
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    val grps = fold (fn p as (_, thm) => if is_unused p then I else
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      case Thm.get_group thm of
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        NONE => I | SOME grp => Symtab.update (grp, ())) thms Symtab.empty;
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    val (thms', _) = fold (fn p as (s, thm) => fn q as (thms, grps') =>
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      if member (op =) [Thm.theoremK, Thm.lemmaK, Thm.corollaryK, Thm.axiomK] (Thm.get_kind thm)
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        andalso is_unused p
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      then
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        (case Thm.get_group thm of
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           NONE => (p :: thms, grps')
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         | SOME grp =>
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             (* do not output theorem if another theorem in group has been used *)
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             if Symtab.defined grps grp then q
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             (* output at most one unused theorem per group *)
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             else if Symtab.defined grps' grp then q
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             else (p :: thms, Symtab.update (grp, ()) grps'))
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      else q) thms ([], Symtab.empty)
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  in rev thms' end;
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end;
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