src/HOL/Tools/inductive_package.ML
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more robust handling of rule cases hints;
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(*  Title:      HOL/Tools/inductive_package.ML
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    ID:         $Id$
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    Author:     Lawrence C Paulson, Cambridge University Computer Laboratory
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    Author:     Stefan Berghofer, TU Muenchen
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    Author:     Markus Wenzel, TU Muenchen
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    Copyright   1994  University of Cambridge
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                1998  TU Muenchen
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(Co)Inductive Definition module for HOL.
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Features:
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  * least or greatest fixedpoints
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  * user-specified product and sum constructions
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  * mutually recursive definitions
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  * definitions involving arbitrary monotone operators
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  * automatically proves introduction and elimination rules
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The recursive sets must *already* be declared as constants in the
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current theory!
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  Introduction rules have the form
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  [| ti:M(Sj), ..., P(x), ... |] ==> t: Sk
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  where M is some monotone operator (usually the identity)
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  P(x) is any side condition on the free variables
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  ti, t are any terms
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  Sj, Sk are two of the sets being defined in mutual recursion
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Sums are used only for mutual recursion.  Products are used only to
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derive "streamlined" induction rules for relations.
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*)
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signature INDUCTIVE_PACKAGE =
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sig
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  val quiet_mode: bool ref
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  val unify_consts: Sign.sg -> term list -> term list -> term list * term list
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  val split_rule_vars: term list -> thm -> thm
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  val get_inductive: theory -> string -> ({names: string list, coind: bool} *
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    {defs: thm list, elims: thm list, raw_induct: thm, induct: thm,
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     intrs: thm list, mk_cases: string -> thm, mono: thm, unfold: thm}) option
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  val print_inductives: theory -> unit
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  val mono_add_global: theory attribute
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  val mono_del_global: theory attribute
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  val get_monos: theory -> thm list
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  val inductive_forall_name: string
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  val inductive_forall_def: thm
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  val rulify: thm -> thm
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  val inductive_cases: ((bstring * Args.src list) * string list) * Comment.text
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    -> theory -> theory
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  val inductive_cases_i: ((bstring * theory attribute list) * term list) * Comment.text
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    -> theory -> theory
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  val add_inductive_i: bool -> bool -> bstring -> bool -> bool -> bool -> term list ->
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    theory attribute list -> ((bstring * term) * theory attribute list) list ->
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      thm list -> thm list -> theory -> theory *
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      {defs: thm list, elims: thm list, raw_induct: thm, induct: thm,
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       intrs: thm list, mk_cases: string -> thm, mono: thm, unfold: thm}
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  val add_inductive: bool -> bool -> string list -> Args.src list ->
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    ((bstring * string) * Args.src list) list -> (xstring * Args.src list) list ->
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      (xstring * Args.src list) list -> theory -> theory *
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      {defs: thm list, elims: thm list, raw_induct: thm, induct: thm,
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       intrs: thm list, mk_cases: string -> thm, mono: thm, unfold: thm}
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  val setup: (theory -> theory) list
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end;
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structure InductivePackage: INDUCTIVE_PACKAGE =
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struct
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(** theory context references **)
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val mono_name = "Ord.mono";
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val gfp_name = "Gfp.gfp";
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val lfp_name = "Lfp.lfp";
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val vimage_name = "Inverse_Image.vimage";
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val Const _ $ (vimage_f $ _) $ _ = HOLogic.dest_Trueprop (Thm.concl_of vimageD);
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val inductive_forall_name = "Inductive.forall";
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val inductive_forall_def = thm "forall_def";
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val inductive_conj_name = "Inductive.conj";
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val inductive_conj_def = thm "conj_def";
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val inductive_conj = thms "inductive_conj";
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val inductive_atomize = thms "inductive_atomize";
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val inductive_rulify1 = thms "inductive_rulify1";
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val inductive_rulify2 = thms "inductive_rulify2";
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(** theory data **)
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(* data kind 'HOL/inductive' *)
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type inductive_info =
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  {names: string list, coind: bool} * {defs: thm list, elims: thm list, raw_induct: thm,
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    induct: thm, intrs: thm list, mk_cases: string -> thm, mono: thm, unfold: thm};
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structure InductiveArgs =
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struct
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  val name = "HOL/inductive";
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  type T = inductive_info Symtab.table * thm list;
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  val empty = (Symtab.empty, []);
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  val copy = I;
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  val prep_ext = I;
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  fun merge ((tab1, monos1), (tab2, monos2)) = (Symtab.merge (K true) (tab1, tab2),
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    Library.generic_merge Thm.eq_thm I I monos1 monos2);
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  fun print sg (tab, monos) =
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    [Pretty.strs ("(co)inductives:" :: map #1 (Sign.cond_extern_table sg Sign.constK tab)),
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     Pretty.big_list "monotonicity rules:" (map (Display.pretty_thm_sg sg) monos)]
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    |> Pretty.chunks |> Pretty.writeln;
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end;
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structure InductiveData = TheoryDataFun(InductiveArgs);
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val print_inductives = InductiveData.print;
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(* get and put data *)
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fun get_inductive thy name = Symtab.lookup (fst (InductiveData.get thy), name);
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fun the_inductive thy name =
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  (case get_inductive thy name of
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    None => error ("Unknown (co)inductive set " ^ quote name)
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  | Some info => info);
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fun put_inductives names info thy =
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  let
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    fun upd ((tab, monos), name) = (Symtab.update_new ((name, info), tab), monos);
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    val tab_monos = foldl upd (InductiveData.get thy, names)
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      handle Symtab.DUP name => error ("Duplicate definition of (co)inductive set " ^ quote name);
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  in InductiveData.put tab_monos thy end;
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(** monotonicity rules **)
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val get_monos = #2 o InductiveData.get;
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fun map_monos f = InductiveData.map (Library.apsnd f);
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fun mk_mono thm =
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  let
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    fun eq2mono thm' = [standard (thm' RS (thm' RS eq_to_mono))] @
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      (case concl_of thm of
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          (_ $ (_ $ (Const ("Not", _) $ _) $ _)) => []
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        | _ => [standard (thm' RS (thm' RS eq_to_mono2))]);
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    val concl = concl_of thm
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  in
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    if Logic.is_equals concl then
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      eq2mono (thm RS meta_eq_to_obj_eq)
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    else if can (HOLogic.dest_eq o HOLogic.dest_Trueprop) concl then
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      eq2mono thm
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    else [thm]
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  end;
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3f34637cb9c0 use Attrib.add_del_args;
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(* attributes *)
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fun mono_add_global (thy, thm) = (map_monos (Drule.add_rules (mk_mono thm)) thy, thm);
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fun mono_del_global (thy, thm) = (map_monos (Drule.del_rules (mk_mono thm)) thy, thm);
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val mono_attr =
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 (Attrib.add_del_args mono_add_global mono_del_global,
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  Attrib.add_del_args Attrib.undef_local_attribute Attrib.undef_local_attribute);
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(** misc utilities **)
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val quiet_mode = ref false;
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fun message s = if ! quiet_mode then () else writeln s;
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fun clean_message s = if ! quick_and_dirty then () else message s;
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fun coind_prefix true = "co"
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  | coind_prefix false = "";
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(*the following code ensures that each recursive set always has the
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  same type in all introduction rules*)
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fun unify_consts sign cs intr_ts =
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  (let
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    val {tsig, ...} = Sign.rep_sg sign;
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    val add_term_consts_2 =
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      foldl_aterms (fn (cs, Const c) => c ins cs | (cs, _) => cs);
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    fun varify (t, (i, ts)) =
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      let val t' = map_term_types (incr_tvar (i + 1)) (Type.varify (t, []))
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      in (maxidx_of_term t', t'::ts) end;
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    val (i, cs') = foldr varify (cs, (~1, []));
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    val (i', intr_ts') = foldr varify (intr_ts, (i, []));
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    val rec_consts = foldl add_term_consts_2 ([], cs');
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    val intr_consts = foldl add_term_consts_2 ([], intr_ts');
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    fun unify (env, (cname, cT)) =
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      let val consts = map snd (filter (fn c => fst c = cname) intr_consts)
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      in foldl (fn ((env', j'), Tp) => (Type.unify tsig j' env' Tp))
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          (env, (replicate (length consts) cT) ~~ consts)
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      end;
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    val (env, _) = foldl unify ((Vartab.empty, i'), rec_consts);
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    fun typ_subst_TVars_2 env T = let val T' = typ_subst_TVars_Vartab env T
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      in if T = T' then T else typ_subst_TVars_2 env T' end;
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    val subst = fst o Type.freeze_thaw o
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      (map_term_types (typ_subst_TVars_2 env))
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  in (map subst cs', map subst intr_ts')
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  end) handle Type.TUNIFY =>
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    (warning "Occurrences of recursive constant have non-unifiable types"; (cs, intr_ts));
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(*make injections used in mutually recursive definitions*)
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fun mk_inj cs sumT c x =
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  let
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    fun mk_inj' T n i =
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      if n = 1 then x else
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      let val n2 = n div 2;
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          val Type (_, [T1, T2]) = T
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      in
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        if i <= n2 then
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          Const ("Inl", T1 --> T) $ (mk_inj' T1 n2 i)
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        else
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          Const ("Inr", T2 --> T) $ (mk_inj' T2 (n - n2) (i - n2))
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      end
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  in mk_inj' sumT (length cs) (1 + find_index_eq c cs)
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  end;
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(*make "vimage" terms for selecting out components of mutually rec.def*)
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fun mk_vimage cs sumT t c = if length cs < 2 then t else
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  let
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    val cT = HOLogic.dest_setT (fastype_of c);
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    val vimageT = [cT --> sumT, HOLogic.mk_setT sumT] ---> HOLogic.mk_setT cT
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  in
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    Const (vimage_name, vimageT) $
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      Abs ("y", cT, mk_inj cs sumT c (Bound 0)) $ t
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  end;
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(** proper splitting **)
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fun prod_factors p (Const ("Pair", _) $ t $ u) =
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      p :: prod_factors (1::p) t @ prod_factors (2::p) u
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  | prod_factors p _ = [];
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fun mg_prod_factors ts (fs, t $ u) = if t mem ts then
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        let val f = prod_factors [] u
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        in overwrite (fs, (t, f inter if_none (assoc (fs, t)) f)) end
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      else mg_prod_factors ts (mg_prod_factors ts (fs, t), u)
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  | mg_prod_factors ts (fs, Abs (_, _, t)) = mg_prod_factors ts (fs, t)
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  | mg_prod_factors ts (fs, _) = fs;
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fun prodT_factors p ps (T as Type ("*", [T1, T2])) =
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      if p mem ps then prodT_factors (1::p) ps T1 @ prodT_factors (2::p) ps T2
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      else [T]
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  | prodT_factors _ _ T = [T];
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fun ap_split p ps (Type ("*", [T1, T2])) T3 u =
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      if p mem ps then HOLogic.split_const (T1, T2, T3) $
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        Abs ("v", T1, ap_split (2::p) ps T2 T3 (ap_split (1::p) ps T1
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          (prodT_factors (2::p) ps T2 ---> T3) (incr_boundvars 1 u) $ Bound 0))
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      else u
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  | ap_split _ _ _ _ u =  u;
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fun mk_tuple p ps (Type ("*", [T1, T2])) (tms as t::_) =
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      if p mem ps then HOLogic.mk_prod (mk_tuple (1::p) ps T1 tms, 
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        mk_tuple (2::p) ps T2 (drop (length (prodT_factors (1::p) ps T1), tms)))
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      else t
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  | mk_tuple _ _ _ (t::_) = t;
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fun split_rule_var' ((t as Var (v, Type ("fun", [T1, T2])), ps), rl) =
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      let val T' = prodT_factors [] ps T1 ---> T2
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          val newt = ap_split [] ps T1 T2 (Var (v, T'))
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          val cterm = Thm.cterm_of (#sign (rep_thm rl))
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      in
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          instantiate ([], [(cterm t, cterm newt)]) rl
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      end
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  | split_rule_var' (_, rl) = rl;
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val remove_split = rewrite_rule [split_conv RS eq_reflection];
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fun split_rule_vars vs rl = standard (remove_split (foldr split_rule_var'
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  (mg_prod_factors vs ([], #prop (rep_thm rl)), rl)));
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fun split_rule vs rl = standard (remove_split (foldr split_rule_var'
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  (mapfilter (fn (t as Var ((a, _), _)) =>
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    apsome (pair t) (assoc (vs, a))) (term_vars (#prop (rep_thm rl))), rl)));
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(** process rules **)
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local
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fun err_in_rule sg name t msg =
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  error (cat_lines ["Ill-formed introduction rule " ^ quote name, Sign.string_of_term sg t, msg]);
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fun err_in_prem sg name t p msg =
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  error (cat_lines ["Ill-formed premise", Sign.string_of_term sg p,
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    "in introduction rule " ^ quote name, Sign.string_of_term sg t, msg]);
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val bad_concl = "Conclusion of introduction rule must have form \"t : S_i\"";
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val atomize_cterm = InductMethod.rewrite_cterm inductive_atomize;
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fun full_simplify rews = Simplifier.full_simplify (HOL_basic_ss addsimps rews);
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in
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fun check_rule sg cs ((name, rule), att) =
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  let
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    val concl = Logic.strip_imp_concl rule;
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    val prems = Logic.strip_imp_prems rule;
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    val aprems = prems |> map (Thm.term_of o atomize_cterm o Thm.cterm_of sg);
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    val arule = Logic.list_implies (aprems, concl);
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    fun check_prem (prem, aprem) =
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      if can HOLogic.dest_Trueprop aprem then ()
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      else err_in_prem sg name rule prem "Non-atomic premise";
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  in
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    (case HOLogic.dest_Trueprop concl of
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      (Const ("op :", _) $ t $ u) =>
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        if u mem cs then
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          if exists (Logic.occs o rpair t) cs then
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            err_in_rule sg name rule "Recursion term on left of member symbol"
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          else seq check_prem (prems ~~ aprems)
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        else err_in_rule sg name rule bad_concl
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      | _ => err_in_rule sg name rule bad_concl);
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    ((name, arule), att)
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  end;
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val rulify =
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  standard o Tactic.norm_hhf o
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  full_simplify inductive_rulify2 o full_simplify inductive_rulify1 o
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  full_simplify inductive_conj;
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end;
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(** properties of (co)inductive sets **)
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(* elimination rules *)
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fun mk_elims cs cTs params intr_ts intr_names =
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  let
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    val used = foldr add_term_names (intr_ts, []);
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    val [aname, pname] = variantlist (["a", "P"], used);
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    val P = HOLogic.mk_Trueprop (Free (pname, HOLogic.boolT));
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    fun dest_intr r =
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      let val Const ("op :", _) $ t $ u =
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        HOLogic.dest_Trueprop (Logic.strip_imp_concl r)
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      in (u, t, Logic.strip_imp_prems r) end;
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    val intrs = map dest_intr intr_ts ~~ intr_names;
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    fun mk_elim (c, T) =
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      let
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        val a = Free (aname, T);
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        fun mk_elim_prem (_, t, ts) =
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          list_all_free (map dest_Free ((foldr add_term_frees (t::ts, [])) \\ params),
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            Logic.list_implies (HOLogic.mk_Trueprop (HOLogic.mk_eq (a, t)) :: ts, P));
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        val c_intrs = (filter (equal c o #1 o #1) intrs);
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      in
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        (Logic.list_implies (HOLogic.mk_Trueprop (HOLogic.mk_mem (a, c)) ::
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          map mk_elim_prem (map #1 c_intrs), P), map #2 c_intrs)
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      end
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  in
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    map mk_elim (cs ~~ cTs)
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  end;
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(* premises and conclusions of induction rules *)
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fun mk_indrule cs cTs params intr_ts =
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  let
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    val used = foldr add_term_names (intr_ts, []);
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    (* predicates for induction rule *)
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    val preds = map Free (variantlist (if length cs < 2 then ["P"] else
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      map (fn i => "P" ^ string_of_int i) (1 upto length cs), used) ~~
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        map (fn T => T --> HOLogic.boolT) cTs);
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    (* transform an introduction rule into a premise for induction rule *)
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   378
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    fun mk_ind_prem r =
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      let
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        val frees = map dest_Free ((add_term_frees (r, [])) \\ params);
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        val pred_of = curry (Library.gen_assoc (op aconv)) (cs ~~ preds);
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   384
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        fun subst (s as ((m as Const ("op :", T)) $ t $ u)) =
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              (case pred_of u of
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                  None => (m $ fst (subst t) $ fst (subst u), None)
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                | Some P => (HOLogic.mk_binop inductive_conj_name (s, P $ t), Some (s, P $ t)))
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          | subst s =
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   390
              (case pred_of s of
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                  Some P => (HOLogic.mk_binop "op Int"
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                    (s, HOLogic.Collect_const (HOLogic.dest_setT
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   393
                      (fastype_of s)) $ P), None)
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   394
                | None => (case s of
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   395
                     (t $ u) => (fst (subst t) $ fst (subst u), None)
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   396
                   | (Abs (a, T, t)) => (Abs (a, T, fst (subst t)), None)
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   397
                   | _ => (s, None)));
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   398
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   399
        fun mk_prem (s, prems) = (case subst s of
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   400
              (_, Some (t, u)) => t :: u :: prems
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   401
            | (t, _) => t :: prems);
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65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
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   402
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   403
        val Const ("op :", _) $ t $ u =
ddcc3c114a0e New inductive definition package
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   404
          HOLogic.dest_Trueprop (Logic.strip_imp_concl r)
ddcc3c114a0e New inductive definition package
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   405
ddcc3c114a0e New inductive definition package
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   406
      in list_all_free (frees,
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   407
           Logic.list_implies (map HOLogic.mk_Trueprop (foldr mk_prem
5094
ddcc3c114a0e New inductive definition package
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   408
             (map HOLogic.dest_Trueprop (Logic.strip_imp_prems r), [])),
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   409
               HOLogic.mk_Trueprop (the (pred_of u) $ t)))
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ddcc3c114a0e New inductive definition package
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   410
      end;
ddcc3c114a0e New inductive definition package
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   411
ddcc3c114a0e New inductive definition package
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   412
    val ind_prems = map mk_ind_prem intr_ts;
10988
e0016a009c17 Splitting of arguments of product types in induction rules is now less
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   413
    val factors = foldl (mg_prod_factors preds) ([], ind_prems);
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   414
ddcc3c114a0e New inductive definition package
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   415
    (* make conclusions for induction rules *)
ddcc3c114a0e New inductive definition package
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   416
ddcc3c114a0e New inductive definition package
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   417
    fun mk_ind_concl ((c, P), (ts, x)) =
ddcc3c114a0e New inductive definition package
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   418
      let val T = HOLogic.dest_setT (fastype_of c);
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e0016a009c17 Splitting of arguments of product types in induction rules is now less
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   419
          val ps = if_none (assoc (factors, P)) [];
e0016a009c17 Splitting of arguments of product types in induction rules is now less
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   420
          val Ts = prodT_factors [] ps T;
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ddcc3c114a0e New inductive definition package
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   421
          val (frees, x') = foldr (fn (T', (fs, s)) =>
ddcc3c114a0e New inductive definition package
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   422
            ((Free (s, T'))::fs, bump_string s)) (Ts, ([], x));
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e0016a009c17 Splitting of arguments of product types in induction rules is now less
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   423
          val tuple = mk_tuple [] ps T frees;
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ddcc3c114a0e New inductive definition package
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   424
      in ((HOLogic.mk_binop "op -->"
ddcc3c114a0e New inductive definition package
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   425
        (HOLogic.mk_mem (tuple, c), P $ tuple))::ts, x')
ddcc3c114a0e New inductive definition package
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   426
      end;
ddcc3c114a0e New inductive definition package
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diff changeset
   427
7710
bf8cb3fc5d64 Monotonicity rules for inductive definitions can now be added to a theory via
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   428
    val mutual_ind_concl = HOLogic.mk_Trueprop (foldr1 HOLogic.mk_conj
5094
ddcc3c114a0e New inductive definition package
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   429
        (fst (foldr mk_ind_concl (cs ~~ preds, ([], "xa")))))
ddcc3c114a0e New inductive definition package
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diff changeset
   430
10988
e0016a009c17 Splitting of arguments of product types in induction rules is now less
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   431
  in (preds, ind_prems, mutual_ind_concl,
e0016a009c17 Splitting of arguments of product types in induction rules is now less
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   432
    map (apfst (fst o dest_Free)) factors)
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   433
  end;
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   434
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   435
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
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   436
(* prepare cases and induct rules *)
8316
74639e19eca0 add_cases_induct: project_rules accomodates mutual induction;
wenzelm
parents: 8312
diff changeset
   437
74639e19eca0 add_cases_induct: project_rules accomodates mutual induction;
wenzelm
parents: 8312
diff changeset
   438
(*
74639e19eca0 add_cases_induct: project_rules accomodates mutual induction;
wenzelm
parents: 8312
diff changeset
   439
  transform mutual rule:
74639e19eca0 add_cases_induct: project_rules accomodates mutual induction;
wenzelm
parents: 8312
diff changeset
   440
    HH ==> (x1:A1 --> P1 x1) & ... & (xn:An --> Pn xn)
74639e19eca0 add_cases_induct: project_rules accomodates mutual induction;
wenzelm
parents: 8312
diff changeset
   441
  into i-th projection:
74639e19eca0 add_cases_induct: project_rules accomodates mutual induction;
wenzelm
parents: 8312
diff changeset
   442
    xi:Ai ==> HH ==> Pi xi
74639e19eca0 add_cases_induct: project_rules accomodates mutual induction;
wenzelm
parents: 8312
diff changeset
   443
*)
74639e19eca0 add_cases_induct: project_rules accomodates mutual induction;
wenzelm
parents: 8312
diff changeset
   444
74639e19eca0 add_cases_induct: project_rules accomodates mutual induction;
wenzelm
parents: 8312
diff changeset
   445
fun project_rules [name] rule = [(name, rule)]
74639e19eca0 add_cases_induct: project_rules accomodates mutual induction;
wenzelm
parents: 8312
diff changeset
   446
  | project_rules names mutual_rule =
74639e19eca0 add_cases_induct: project_rules accomodates mutual induction;
wenzelm
parents: 8312
diff changeset
   447
      let
74639e19eca0 add_cases_induct: project_rules accomodates mutual induction;
wenzelm
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diff changeset
   448
        val n = length names;
74639e19eca0 add_cases_induct: project_rules accomodates mutual induction;
wenzelm
parents: 8312
diff changeset
   449
        fun proj i =
74639e19eca0 add_cases_induct: project_rules accomodates mutual induction;
wenzelm
parents: 8312
diff changeset
   450
          (if i < n then (fn th => th RS conjunct1) else I)
74639e19eca0 add_cases_induct: project_rules accomodates mutual induction;
wenzelm
parents: 8312
diff changeset
   451
            (Library.funpow (i - 1) (fn th => th RS conjunct2) mutual_rule)
74639e19eca0 add_cases_induct: project_rules accomodates mutual induction;
wenzelm
parents: 8312
diff changeset
   452
            RS mp |> Thm.permute_prems 0 ~1 |> Drule.standard;
74639e19eca0 add_cases_induct: project_rules accomodates mutual induction;
wenzelm
parents: 8312
diff changeset
   453
      in names ~~ map proj (1 upto n) end;
74639e19eca0 add_cases_induct: project_rules accomodates mutual induction;
wenzelm
parents: 8312
diff changeset
   454
11005
86f662ba3c3f more robust handling of rule cases hints;
wenzelm
parents: 10988
diff changeset
   455
fun add_cases_induct no_elim no_ind names elims induct =
8316
74639e19eca0 add_cases_induct: project_rules accomodates mutual induction;
wenzelm
parents: 8312
diff changeset
   456
  let
9405
3235873fdd90 improved error msg;
wenzelm
parents: 9315
diff changeset
   457
    fun cases_spec (name, elim) thy =
3235873fdd90 improved error msg;
wenzelm
parents: 9315
diff changeset
   458
      thy
3235873fdd90 improved error msg;
wenzelm
parents: 9315
diff changeset
   459
      |> Theory.add_path (Sign.base_name name)
10279
b223a9a3350e InductAttrib;
wenzelm
parents: 10212
diff changeset
   460
      |> (#1 o PureThy.add_thms [(("cases", elim), [InductAttrib.cases_set_global name])])
9405
3235873fdd90 improved error msg;
wenzelm
parents: 9315
diff changeset
   461
      |> Theory.parent_path;
8375
0544749a5e8f mk_elims, add_cases_induct: name rule cases;
wenzelm
parents: 8336
diff changeset
   462
    val cases_specs = if no_elim then [] else map2 cases_spec (names, elims);
8316
74639e19eca0 add_cases_induct: project_rules accomodates mutual induction;
wenzelm
parents: 8312
diff changeset
   463
11005
86f662ba3c3f more robust handling of rule cases hints;
wenzelm
parents: 10988
diff changeset
   464
    fun induct_spec (name, th) = #1 o PureThy.add_thms
86f662ba3c3f more robust handling of rule cases hints;
wenzelm
parents: 10988
diff changeset
   465
      [(("", RuleCases.save induct th), [InductAttrib.induct_set_global name])];
8401
50d5f4402305 more robust case names of induct;
wenzelm
parents: 8380
diff changeset
   466
    val induct_specs = if no_ind then [] else map induct_spec (project_rules names induct);
9405
3235873fdd90 improved error msg;
wenzelm
parents: 9315
diff changeset
   467
  in Library.apply (cases_specs @ induct_specs) end;
8316
74639e19eca0 add_cases_induct: project_rules accomodates mutual induction;
wenzelm
parents: 8312
diff changeset
   468
74639e19eca0 add_cases_induct: project_rules accomodates mutual induction;
wenzelm
parents: 8312
diff changeset
   469
74639e19eca0 add_cases_induct: project_rules accomodates mutual induction;
wenzelm
parents: 8312
diff changeset
   470
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   471
(** proofs for (co)inductive sets **)
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   472
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   473
(* prove monotonicity -- NOT subject to quick_and_dirty! *)
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   474
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   475
fun prove_mono setT fp_fun monos thy =
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   476
 (message "  Proving monotonicity ...";
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   477
  Goals.prove_goalw_cterm []      (*NO SkipProof.prove_goalw_cterm here!*)
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   478
    (Thm.cterm_of (Theory.sign_of thy) (HOLogic.mk_Trueprop
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   479
      (Const (mono_name, (setT --> setT) --> HOLogic.boolT) $ fp_fun)))
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   480
    (fn _ => [rtac monoI 1, REPEAT (ares_tac (get_monos thy @ flat (map mk_mono monos)) 1)]));
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   481
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   482
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   483
(* prove introduction rules *)
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   484
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   485
fun prove_intrs coind mono fp_def intr_ts con_defs rec_sets_defs thy =
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   486
  let
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   487
    val _ = clean_message "  Proving the introduction rules ...";
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   488
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   489
    val unfold = standard (mono RS (fp_def RS
10186
499637e8f2c6 *** empty log message ***
nipkow
parents: 10065
diff changeset
   490
      (if coind then def_gfp_unfold else def_lfp_unfold)));
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   491
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   492
    fun select_disj 1 1 = []
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   493
      | select_disj _ 1 = [rtac disjI1]
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   494
      | select_disj n i = (rtac disjI2)::(select_disj (n - 1) (i - 1));
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   495
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   496
    val intrs = map (fn (i, intr) => SkipProof.prove_goalw_cterm thy rec_sets_defs
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   497
      (Thm.cterm_of (Theory.sign_of thy) intr) (fn prems =>
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   498
       [(*insert prems and underlying sets*)
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   499
       cut_facts_tac prems 1,
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   500
       stac unfold 1,
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   501
       REPEAT (resolve_tac [vimageI2, CollectI] 1),
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   502
       (*Now 1-2 subgoals: the disjunction, perhaps equality.*)
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   503
       EVERY1 (select_disj (length intr_ts) i),
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   504
       (*Not ares_tac, since refl must be tried before any equality assumptions;
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   505
         backtracking may occur if the premises have extra variables!*)
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   506
       DEPTH_SOLVE_1 (resolve_tac [refl, exI, conjI] 1 APPEND assume_tac 1),
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   507
       (*Now solve the equations like Inl 0 = Inl ?b2*)
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   508
       rewrite_goals_tac con_defs,
10729
1b3350c4ee92 handle proper rules;
wenzelm
parents: 10569
diff changeset
   509
       REPEAT (rtac refl 1)])
1b3350c4ee92 handle proper rules;
wenzelm
parents: 10569
diff changeset
   510
      |> rulify) (1 upto (length intr_ts) ~~ intr_ts)
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   511
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   512
  in (intrs, unfold) end;
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   513
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   514
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   515
(* prove elimination rules *)
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   516
8375
0544749a5e8f mk_elims, add_cases_induct: name rule cases;
wenzelm
parents: 8336
diff changeset
   517
fun prove_elims cs cTs params intr_ts intr_names unfold rec_sets_defs thy =
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   518
  let
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   519
    val _ = clean_message "  Proving the elimination rules ...";
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   520
7710
bf8cb3fc5d64 Monotonicity rules for inductive definitions can now be added to a theory via
berghofe
parents: 7349
diff changeset
   521
    val rules1 = [CollectE, disjE, make_elim vimageD, exE];
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   522
    val rules2 = [conjE, Inl_neq_Inr, Inr_neq_Inl] @ map make_elim [Inl_inject, Inr_inject];
8375
0544749a5e8f mk_elims, add_cases_induct: name rule cases;
wenzelm
parents: 8336
diff changeset
   523
  in
11005
86f662ba3c3f more robust handling of rule cases hints;
wenzelm
parents: 10988
diff changeset
   524
    mk_elims cs cTs params intr_ts intr_names |> map (fn (t, cases) =>
86f662ba3c3f more robust handling of rule cases hints;
wenzelm
parents: 10988
diff changeset
   525
      SkipProof.prove_goalw_cterm thy rec_sets_defs
86f662ba3c3f more robust handling of rule cases hints;
wenzelm
parents: 10988
diff changeset
   526
        (Thm.cterm_of (Theory.sign_of thy) t) (fn prems =>
86f662ba3c3f more robust handling of rule cases hints;
wenzelm
parents: 10988
diff changeset
   527
          [cut_facts_tac [hd prems] 1,
86f662ba3c3f more robust handling of rule cases hints;
wenzelm
parents: 10988
diff changeset
   528
           dtac (unfold RS subst) 1,
86f662ba3c3f more robust handling of rule cases hints;
wenzelm
parents: 10988
diff changeset
   529
           REPEAT (FIRSTGOAL (eresolve_tac rules1)),
86f662ba3c3f more robust handling of rule cases hints;
wenzelm
parents: 10988
diff changeset
   530
           REPEAT (FIRSTGOAL (eresolve_tac rules2)),
86f662ba3c3f more robust handling of rule cases hints;
wenzelm
parents: 10988
diff changeset
   531
           EVERY (map (fn prem => DEPTH_SOLVE_1 (ares_tac [prem, conjI] 1)) (tl prems))])
86f662ba3c3f more robust handling of rule cases hints;
wenzelm
parents: 10988
diff changeset
   532
        |> rulify
86f662ba3c3f more robust handling of rule cases hints;
wenzelm
parents: 10988
diff changeset
   533
        |> RuleCases.name cases)
8375
0544749a5e8f mk_elims, add_cases_induct: name rule cases;
wenzelm
parents: 8336
diff changeset
   534
  end;
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   535
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   536
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   537
(* derivation of simplified elimination rules *)
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   538
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   539
(*Applies freeness of the given constructors, which *must* be unfolded by
9598
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   540
  the given defs.  Cannot simply use the local con_defs because con_defs=[]
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   541
  for inference systems. (??) *)
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   542
7107
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   543
(*cprop should have the form t:Si where Si is an inductive set*)
9598
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   544
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   545
val mk_cases_err = "mk_cases: proposition not of form \"t : S_i\"";
9598
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   546
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   547
fun mk_cases_i elims ss cprop =
7107
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   548
  let
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   549
    val prem = Thm.assume cprop;
9598
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   550
    val tac = ALLGOALS (InductMethod.simp_case_tac false ss) THEN prune_params_tac;
9298
7d9b562a750b use InductMethod.simp_case_tac;
wenzelm
parents: 9235
diff changeset
   551
    fun mk_elim rl = Drule.standard (Tactic.rule_by_tactic tac (prem RS rl));
7107
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   552
  in
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   553
    (case get_first (try mk_elim) elims of
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   554
      Some r => r
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   555
    | None => error (Pretty.string_of (Pretty.block
9598
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   556
        [Pretty.str mk_cases_err, Pretty.fbrk, Display.pretty_cterm cprop])))
7107
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   557
  end;
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   558
6141
a6922171b396 removal of the (thm list) argument of mk_cases
paulson
parents: 6092
diff changeset
   559
fun mk_cases elims s =
9598
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   560
  mk_cases_i elims (simpset()) (Thm.read_cterm (Thm.sign_of_thm (hd elims)) (s, propT));
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   561
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   562
fun smart_mk_cases thy ss cprop =
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   563
  let
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   564
    val c = #1 (Term.dest_Const (Term.head_of (#2 (HOLogic.dest_mem (HOLogic.dest_Trueprop
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   565
      (Logic.strip_imp_concl (Thm.term_of cprop))))))) handle TERM _ => error mk_cases_err;
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   566
    val (_, {elims, ...}) = the_inductive thy c;
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   567
  in mk_cases_i elims ss cprop end;
7107
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   568
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   569
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   570
(* inductive_cases(_i) *)
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   571
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   572
fun gen_inductive_cases prep_att prep_const prep_prop
9598
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   573
    (((name, raw_atts), raw_props), comment) thy =
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   574
  let
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   575
    val ss = Simplifier.simpset_of thy;
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   576
    val sign = Theory.sign_of thy;
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   577
    val cprops = map (Thm.cterm_of sign o prep_prop (ProofContext.init thy)) raw_props;
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   578
    val atts = map (prep_att thy) raw_atts;
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   579
    val thms = map (smart_mk_cases thy ss) cprops;
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   580
  in thy |> IsarThy.have_theorems_i [(((name, atts), map Thm.no_attributes thms), comment)] end;
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   581
7107
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   582
val inductive_cases =
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   583
  gen_inductive_cases Attrib.global_attribute Sign.intern_const ProofContext.read_prop;
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   584
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   585
val inductive_cases_i = gen_inductive_cases (K I) (K I) ProofContext.cert_prop;
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   586
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   587
9598
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   588
(* mk_cases_meth *)
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   589
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   590
fun mk_cases_meth (ctxt, raw_props) =
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   591
  let
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   592
    val thy = ProofContext.theory_of ctxt;
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   593
    val ss = Simplifier.get_local_simpset ctxt;
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   594
    val cprops = map (Thm.cterm_of (Theory.sign_of thy) o ProofContext.read_prop ctxt) raw_props;
10743
8ea821d1e3a4 Method.erule 0;
wenzelm
parents: 10735
diff changeset
   595
  in Method.erule 0 (map (smart_mk_cases thy ss) cprops) end;
9598
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   596
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   597
val mk_cases_args = Method.syntax (Scan.lift (Scan.repeat1 Args.name));
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   598
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   599
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   600
(* prove induction rule *)
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   601
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   602
fun prove_indrule cs cTs sumT rec_const params intr_ts mono
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   603
    fp_def rec_sets_defs thy =
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   604
  let
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   605
    val _ = clean_message "  Proving the induction rule ...";
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   606
6394
3d9fd50fcc43 Theory.sign_of;
wenzelm
parents: 6141
diff changeset
   607
    val sign = Theory.sign_of thy;
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   608
7293
959e060f4a2f Moved sum_case stuff from Sum to Datatype.
berghofe
parents: 7257
diff changeset
   609
    val sum_case_rewrites = (case ThyInfo.lookup_theory "Datatype" of
959e060f4a2f Moved sum_case stuff from Sum to Datatype.
berghofe
parents: 7257
diff changeset
   610
        None => []
959e060f4a2f Moved sum_case stuff from Sum to Datatype.
berghofe
parents: 7257
diff changeset
   611
      | Some thy' => map mk_meta_eq (PureThy.get_thms thy' "sum.cases"));
959e060f4a2f Moved sum_case stuff from Sum to Datatype.
berghofe
parents: 7257
diff changeset
   612
10988
e0016a009c17 Splitting of arguments of product types in induction rules is now less
berghofe
parents: 10910
diff changeset
   613
    val (preds, ind_prems, mutual_ind_concl, factors) =
e0016a009c17 Splitting of arguments of product types in induction rules is now less
berghofe
parents: 10910
diff changeset
   614
      mk_indrule cs cTs params intr_ts;
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   615
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   616
    (* make predicate for instantiation of abstract induction rule *)
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   617
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   618
    fun mk_ind_pred _ [P] = P
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   619
      | mk_ind_pred T Ps =
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   620
         let val n = (length Ps) div 2;
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   621
             val Type (_, [T1, T2]) = T
7293
959e060f4a2f Moved sum_case stuff from Sum to Datatype.
berghofe
parents: 7257
diff changeset
   622
         in Const ("Datatype.sum.sum_case",
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   623
           [T1 --> HOLogic.boolT, T2 --> HOLogic.boolT, T] ---> HOLogic.boolT) $
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   624
             mk_ind_pred T1 (take (n, Ps)) $ mk_ind_pred T2 (drop (n, Ps))
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   625
         end;
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   626
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   627
    val ind_pred = mk_ind_pred sumT preds;
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   628
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   629
    val ind_concl = HOLogic.mk_Trueprop
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   630
      (HOLogic.all_const sumT $ Abs ("x", sumT, HOLogic.mk_binop "op -->"
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   631
        (HOLogic.mk_mem (Bound 0, rec_const), ind_pred $ Bound 0)));
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   632
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   633
    (* simplification rules for vimage and Collect *)
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   634
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   635
    val vimage_simps = if length cs < 2 then [] else
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   636
      map (fn c => SkipProof.prove_goalw_cterm thy [] (Thm.cterm_of sign
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   637
        (HOLogic.mk_Trueprop (HOLogic.mk_eq
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   638
          (mk_vimage cs sumT (HOLogic.Collect_const sumT $ ind_pred) c,
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   639
           HOLogic.Collect_const (HOLogic.dest_setT (fastype_of c)) $
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   640
             nth_elem (find_index_eq c cs, preds)))))
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   641
        (fn _ => [rtac vimage_Collect 1, rewrite_goals_tac sum_case_rewrites, rtac refl 1])) cs;
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   642
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   643
    val induct = SkipProof.prove_goalw_cterm thy [inductive_conj_def] (Thm.cterm_of sign
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   644
      (Logic.list_implies (ind_prems, ind_concl))) (fn prems =>
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   645
        [rtac (impI RS allI) 1,
10202
9e8b4bebc940 induct -> lfp_induct
nipkow
parents: 10186
diff changeset
   646
         DETERM (etac (mono RS (fp_def RS def_lfp_induct)) 1),
7710
bf8cb3fc5d64 Monotonicity rules for inductive definitions can now be added to a theory via
berghofe
parents: 7349
diff changeset
   647
         rewrite_goals_tac (map mk_meta_eq (vimage_Int::Int_Collect::vimage_simps)),
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   648
         fold_goals_tac rec_sets_defs,
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   649
         (*This CollectE and disjE separates out the introduction rules*)
7710
bf8cb3fc5d64 Monotonicity rules for inductive definitions can now be added to a theory via
berghofe
parents: 7349
diff changeset
   650
         REPEAT (FIRSTGOAL (eresolve_tac [CollectE, disjE, exE])),
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   651
         (*Now break down the individual cases.  No disjE here in case
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   652
           some premise involves disjunction.*)
7710
bf8cb3fc5d64 Monotonicity rules for inductive definitions can now be added to a theory via
berghofe
parents: 7349
diff changeset
   653
         REPEAT (FIRSTGOAL (etac conjE ORELSE' hyp_subst_tac)),
7293
959e060f4a2f Moved sum_case stuff from Sum to Datatype.
berghofe
parents: 7257
diff changeset
   654
         rewrite_goals_tac sum_case_rewrites,
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   655
         EVERY (map (fn prem =>
5149
10f0be29c0d1 Fixed bug in transform_rule.
berghofe
parents: 5120
diff changeset
   656
           DEPTH_SOLVE_1 (ares_tac [prem, conjI, refl] 1)) prems)]);
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   657
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   658
    val lemma = SkipProof.prove_goalw_cterm thy rec_sets_defs (Thm.cterm_of sign
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   659
      (Logic.mk_implies (ind_concl, mutual_ind_concl))) (fn prems =>
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   660
        [cut_facts_tac prems 1,
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   661
         REPEAT (EVERY
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   662
           [REPEAT (resolve_tac [conjI, impI] 1),
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   663
            TRY (dtac vimageD 1), etac allE 1, dtac mp 1, atac 1,
7293
959e060f4a2f Moved sum_case stuff from Sum to Datatype.
berghofe
parents: 7257
diff changeset
   664
            rewrite_goals_tac sum_case_rewrites,
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   665
            atac 1])])
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   666
10988
e0016a009c17 Splitting of arguments of product types in induction rules is now less
berghofe
parents: 10910
diff changeset
   667
  in standard (split_rule factors (induct RS lemma)) end;
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   668
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   669
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   670
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   671
(** specification of (co)inductive sets **)
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   672
10729
1b3350c4ee92 handle proper rules;
wenzelm
parents: 10569
diff changeset
   673
fun cond_declare_consts declare_consts cs paramTs cnames =
1b3350c4ee92 handle proper rules;
wenzelm
parents: 10569
diff changeset
   674
  if declare_consts then
1b3350c4ee92 handle proper rules;
wenzelm
parents: 10569
diff changeset
   675
    Theory.add_consts_i (map (fn (c, n) => (n, paramTs ---> fastype_of c, NoSyn)) (cs ~~ cnames))
1b3350c4ee92 handle proper rules;
wenzelm
parents: 10569
diff changeset
   676
  else I;
1b3350c4ee92 handle proper rules;
wenzelm
parents: 10569
diff changeset
   677
9072
a4896cf23638 Now also proves monotonicity when in quick_and_dirty mode.
berghofe
parents: 8720
diff changeset
   678
fun mk_ind_def declare_consts alt_name coind cs intr_ts monos con_defs thy
a4896cf23638 Now also proves monotonicity when in quick_and_dirty mode.
berghofe
parents: 8720
diff changeset
   679
      params paramTs cTs cnames =
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   680
  let
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   681
    val sumT = fold_bal (fn (T, U) => Type ("+", [T, U])) cTs;
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   682
    val setT = HOLogic.mk_setT sumT;
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   683
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   684
    val fp_name = if coind then gfp_name else lfp_name;
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   685
5149
10f0be29c0d1 Fixed bug in transform_rule.
berghofe
parents: 5120
diff changeset
   686
    val used = foldr add_term_names (intr_ts, []);
10f0be29c0d1 Fixed bug in transform_rule.
berghofe
parents: 5120
diff changeset
   687
    val [sname, xname] = variantlist (["S", "x"], used);
10f0be29c0d1 Fixed bug in transform_rule.
berghofe
parents: 5120
diff changeset
   688
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   689
    (* transform an introduction rule into a conjunction  *)
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   690
    (*   [| t : ... S_i ... ; ... |] ==> u : S_j          *)
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   691
    (* is transformed into                                *)
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   692
    (*   x = Inj_j u & t : ... Inj_i -`` S ... & ...      *)
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   693
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   694
    fun transform_rule r =
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   695
      let
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   696
        val frees = map dest_Free ((add_term_frees (r, [])) \\ params);
5149
10f0be29c0d1 Fixed bug in transform_rule.
berghofe
parents: 5120
diff changeset
   697
        val subst = subst_free
10f0be29c0d1 Fixed bug in transform_rule.
berghofe
parents: 5120
diff changeset
   698
          (cs ~~ (map (mk_vimage cs sumT (Free (sname, setT))) cs));
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   699
        val Const ("op :", _) $ t $ u =
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   700
          HOLogic.dest_Trueprop (Logic.strip_imp_concl r)
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   701
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   702
      in foldr (fn ((x, T), P) => HOLogic.mk_exists (x, T, P))
7710
bf8cb3fc5d64 Monotonicity rules for inductive definitions can now be added to a theory via
berghofe
parents: 7349
diff changeset
   703
        (frees, foldr1 HOLogic.mk_conj
5149
10f0be29c0d1 Fixed bug in transform_rule.
berghofe
parents: 5120
diff changeset
   704
          (((HOLogic.eq_const sumT) $ Free (xname, sumT) $ (mk_inj cs sumT u t))::
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   705
            (map (subst o HOLogic.dest_Trueprop)
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   706
              (Logic.strip_imp_prems r))))
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   707
      end
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   708
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   709
    (* make a disjunction of all introduction rules *)
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   710
5149
10f0be29c0d1 Fixed bug in transform_rule.
berghofe
parents: 5120
diff changeset
   711
    val fp_fun = absfree (sname, setT, (HOLogic.Collect_const sumT) $
7710
bf8cb3fc5d64 Monotonicity rules for inductive definitions can now be added to a theory via
berghofe
parents: 7349
diff changeset
   712
      absfree (xname, sumT, foldr1 HOLogic.mk_disj (map transform_rule intr_ts)));
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   713
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   714
    (* add definiton of recursive sets to theory *)
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   715
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   716
    val rec_name = if alt_name = "" then space_implode "_" cnames else alt_name;
6394
3d9fd50fcc43 Theory.sign_of;
wenzelm
parents: 6141
diff changeset
   717
    val full_rec_name = Sign.full_name (Theory.sign_of thy) rec_name;
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   718
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   719
    val rec_const = list_comb
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   720
      (Const (full_rec_name, paramTs ---> setT), params);
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   721
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   722
    val fp_def_term = Logic.mk_equals (rec_const,
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   723
      Const (fp_name, (setT --> setT) --> setT) $ fp_fun);
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   724
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   725
    val def_terms = fp_def_term :: (if length cs < 2 then [] else
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   726
      map (fn c => Logic.mk_equals (c, mk_vimage cs sumT rec_const c)) cs);
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   727
8433
8ae16c770fc8 adapted to new PureThy.add_thms etc.;
wenzelm
parents: 8410
diff changeset
   728
    val (thy', [fp_def :: rec_sets_defs]) =
8ae16c770fc8 adapted to new PureThy.add_thms etc.;
wenzelm
parents: 8410
diff changeset
   729
      thy
10729
1b3350c4ee92 handle proper rules;
wenzelm
parents: 10569
diff changeset
   730
      |> cond_declare_consts declare_consts cs paramTs cnames
8433
8ae16c770fc8 adapted to new PureThy.add_thms etc.;
wenzelm
parents: 8410
diff changeset
   731
      |> (if length cs < 2 then I
8ae16c770fc8 adapted to new PureThy.add_thms etc.;
wenzelm
parents: 8410
diff changeset
   732
          else Theory.add_consts_i [(rec_name, paramTs ---> setT, NoSyn)])
8ae16c770fc8 adapted to new PureThy.add_thms etc.;
wenzelm
parents: 8410
diff changeset
   733
      |> Theory.add_path rec_name
9315
f793f05024f6 adapted PureThy.add_defs_i;
wenzelm
parents: 9298
diff changeset
   734
      |> PureThy.add_defss_i false [(("defs", def_terms), [])];
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   735
9072
a4896cf23638 Now also proves monotonicity when in quick_and_dirty mode.
berghofe
parents: 8720
diff changeset
   736
    val mono = prove_mono setT fp_fun monos thy'
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   737
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   738
  in (thy', mono, fp_def, rec_sets_defs, rec_const, sumT) end;
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   739
9072
a4896cf23638 Now also proves monotonicity when in quick_and_dirty mode.
berghofe
parents: 8720
diff changeset
   740
fun add_ind_def verbose declare_consts alt_name coind no_elim no_ind cs
a4896cf23638 Now also proves monotonicity when in quick_and_dirty mode.
berghofe
parents: 8720
diff changeset
   741
    atts intros monos con_defs thy params paramTs cTs cnames induct_cases =
a4896cf23638 Now also proves monotonicity when in quick_and_dirty mode.
berghofe
parents: 8720
diff changeset
   742
  let
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   743
    val _ =
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   744
      if verbose then message ("Proofs for " ^ coind_prefix coind ^ "inductive set(s) " ^
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   745
        commas_quote cnames) else ();
9072
a4896cf23638 Now also proves monotonicity when in quick_and_dirty mode.
berghofe
parents: 8720
diff changeset
   746
a4896cf23638 Now also proves monotonicity when in quick_and_dirty mode.
berghofe
parents: 8720
diff changeset
   747
    val ((intr_names, intr_ts), intr_atts) = apfst split_list (split_list intros);
a4896cf23638 Now also proves monotonicity when in quick_and_dirty mode.
berghofe
parents: 8720
diff changeset
   748
9939
44af7faa677e tuned handling of "intros";
wenzelm
parents: 9893
diff changeset
   749
    val (thy1, mono, fp_def, rec_sets_defs, rec_const, sumT) =
9072
a4896cf23638 Now also proves monotonicity when in quick_and_dirty mode.
berghofe
parents: 8720
diff changeset
   750
      mk_ind_def declare_consts alt_name coind cs intr_ts monos con_defs thy
a4896cf23638 Now also proves monotonicity when in quick_and_dirty mode.
berghofe
parents: 8720
diff changeset
   751
        params paramTs cTs cnames;
a4896cf23638 Now also proves monotonicity when in quick_and_dirty mode.
berghofe
parents: 8720
diff changeset
   752
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   753
    val (intrs, unfold) = prove_intrs coind mono fp_def intr_ts con_defs
9939
44af7faa677e tuned handling of "intros";
wenzelm
parents: 9893
diff changeset
   754
      rec_sets_defs thy1;
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   755
    val elims = if no_elim then [] else
9939
44af7faa677e tuned handling of "intros";
wenzelm
parents: 9893
diff changeset
   756
      prove_elims cs cTs params intr_ts intr_names unfold rec_sets_defs thy1;
8312
b470bc28b59d add_cases_induct: accomodate no_elim and no_ind flags;
wenzelm
parents: 8307
diff changeset
   757
    val raw_induct = if no_ind then Drule.asm_rl else
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   758
      if coind then standard (rule_by_tactic
5553
ae42b36a50c2 renamed mk_meta_eq to mk_eq
oheimb
parents: 5303
diff changeset
   759
        (rewrite_tac [mk_meta_eq vimage_Un] THEN
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   760
          fold_tac rec_sets_defs) (mono RS (fp_def RS def_Collect_coinduct)))
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   761
      else
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   762
        prove_indrule cs cTs sumT rec_const params intr_ts mono fp_def
9939
44af7faa677e tuned handling of "intros";
wenzelm
parents: 9893
diff changeset
   763
          rec_sets_defs thy1;
5108
4074c7d86d44 Fixed bug (improper handling of flag no_ind).
berghofe
parents: 5094
diff changeset
   764
    val induct = if coind orelse no_ind orelse length cs > 1 then raw_induct
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   765
      else standard (raw_induct RSN (2, rev_mp));
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   766
9939
44af7faa677e tuned handling of "intros";
wenzelm
parents: 9893
diff changeset
   767
    val (thy2, intrs') =
44af7faa677e tuned handling of "intros";
wenzelm
parents: 9893
diff changeset
   768
      thy1 |> PureThy.add_thms ((intr_names ~~ intrs) ~~ intr_atts);
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   769
    val (thy3, ([intrs'', elims'], [induct'])) =
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   770
      thy2
11005
86f662ba3c3f more robust handling of rule cases hints;
wenzelm
parents: 10988
diff changeset
   771
      |> PureThy.add_thmss
86f662ba3c3f more robust handling of rule cases hints;
wenzelm
parents: 10988
diff changeset
   772
        [(("intros", intrs'), atts),
86f662ba3c3f more robust handling of rule cases hints;
wenzelm
parents: 10988
diff changeset
   773
          (("elims", elims), [RuleCases.consumes 1])]
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   774
      |>>> PureThy.add_thms
11005
86f662ba3c3f more robust handling of rule cases hints;
wenzelm
parents: 10988
diff changeset
   775
        [((coind_prefix coind ^ "induct", rulify induct),
86f662ba3c3f more robust handling of rule cases hints;
wenzelm
parents: 10988
diff changeset
   776
         [RuleCases.case_names induct_cases,
86f662ba3c3f more robust handling of rule cases hints;
wenzelm
parents: 10988
diff changeset
   777
          RuleCases.consumes 1])]
8433
8ae16c770fc8 adapted to new PureThy.add_thms etc.;
wenzelm
parents: 8410
diff changeset
   778
      |>> Theory.parent_path;
9939
44af7faa677e tuned handling of "intros";
wenzelm
parents: 9893
diff changeset
   779
  in (thy3,
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   780
    {defs = fp_def :: rec_sets_defs,
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   781
     mono = mono,
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   782
     unfold = unfold,
9939
44af7faa677e tuned handling of "intros";
wenzelm
parents: 9893
diff changeset
   783
     intrs = intrs'',
7798
42e94b618f34 return stored thms with proper naming in derivation;
wenzelm
parents: 7710
diff changeset
   784
     elims = elims',
42e94b618f34 return stored thms with proper naming in derivation;
wenzelm
parents: 7710
diff changeset
   785
     mk_cases = mk_cases elims',
10729
1b3350c4ee92 handle proper rules;
wenzelm
parents: 10569
diff changeset
   786
     raw_induct = rulify raw_induct,
7798
42e94b618f34 return stored thms with proper naming in derivation;
wenzelm
parents: 7710
diff changeset
   787
     induct = induct'})
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   788
  end;
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   789
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   790
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   791
(* external interfaces *)
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   792
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   793
fun try_term f msg sign t =
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   794
  (case Library.try f t of
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   795
    Some x => x
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   796
  | None => error (msg ^ Sign.string_of_term sign t));
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   797
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   798
fun add_inductive_i verbose declare_consts alt_name coind no_elim no_ind cs
10729
1b3350c4ee92 handle proper rules;
wenzelm
parents: 10569
diff changeset
   799
    atts pre_intros monos con_defs thy =
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   800
  let
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   801
    val _ = Theory.requires thy "Inductive" (coind_prefix coind ^ "inductive definitions");
6394
3d9fd50fcc43 Theory.sign_of;
wenzelm
parents: 6141
diff changeset
   802
    val sign = Theory.sign_of thy;
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   803
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   804
    (*parameters should agree for all mutually recursive components*)
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   805
    val (_, params) = strip_comb (hd cs);
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   806
    val paramTs = map (try_term (snd o dest_Free) "Parameter in recursive\
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   807
      \ component is not a free variable: " sign) params;
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   808
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   809
    val cTs = map (try_term (HOLogic.dest_setT o fastype_of)
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   810
      "Recursive component not of type set: " sign) cs;
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   811
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   812
    val full_cnames = map (try_term (fst o dest_Const o head_of)
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   813
      "Recursive set not previously declared as constant: " sign) cs;
6437
9bdfe07ba8e9 'HOL/inductive' theory data;
wenzelm
parents: 6430
diff changeset
   814
    val cnames = map Sign.base_name full_cnames;
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   815
10729
1b3350c4ee92 handle proper rules;
wenzelm
parents: 10569
diff changeset
   816
    val save_sign =
1b3350c4ee92 handle proper rules;
wenzelm
parents: 10569
diff changeset
   817
      thy |> Theory.copy |> cond_declare_consts declare_consts cs paramTs cnames |> Theory.sign_of;
1b3350c4ee92 handle proper rules;
wenzelm
parents: 10569
diff changeset
   818
    val intros = map (check_rule save_sign cs) pre_intros;
8401
50d5f4402305 more robust case names of induct;
wenzelm
parents: 8380
diff changeset
   819
    val induct_cases = map (#1 o #1) intros;
6437
9bdfe07ba8e9 'HOL/inductive' theory data;
wenzelm
parents: 6430
diff changeset
   820
9405
3235873fdd90 improved error msg;
wenzelm
parents: 9315
diff changeset
   821
    val (thy1, result as {elims, induct, ...}) =
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   822
      add_ind_def verbose declare_consts alt_name coind no_elim no_ind cs atts intros monos
8401
50d5f4402305 more robust case names of induct;
wenzelm
parents: 8380
diff changeset
   823
        con_defs thy params paramTs cTs cnames induct_cases;
8307
6600c6e53111 add_cases_induct: induct_method setup;
wenzelm
parents: 8293
diff changeset
   824
    val thy2 = thy1
6600c6e53111 add_cases_induct: induct_method setup;
wenzelm
parents: 8293
diff changeset
   825
      |> put_inductives full_cnames ({names = full_cnames, coind = coind}, result)
11005
86f662ba3c3f more robust handling of rule cases hints;
wenzelm
parents: 10988
diff changeset
   826
      |> add_cases_induct no_elim (no_ind orelse coind) full_cnames elims induct;
6437
9bdfe07ba8e9 'HOL/inductive' theory data;
wenzelm
parents: 6430
diff changeset
   827
  in (thy2, result) end;
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   828
6521
16c425fc00cb intrs attributes;
wenzelm
parents: 6437
diff changeset
   829
fun add_inductive verbose coind c_strings srcs intro_srcs raw_monos raw_con_defs thy =
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   830
  let
6394
3d9fd50fcc43 Theory.sign_of;
wenzelm
parents: 6141
diff changeset
   831
    val sign = Theory.sign_of thy;
8100
6186ee807f2e replaced HOLogic.termTVar by HOLogic.termT;
wenzelm
parents: 7798
diff changeset
   832
    val cs = map (term_of o Thm.read_cterm sign o rpair HOLogic.termT) c_strings;
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   833
6521
16c425fc00cb intrs attributes;
wenzelm
parents: 6437
diff changeset
   834
    val atts = map (Attrib.global_attribute thy) srcs;
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   835
    val intr_names = map (fst o fst) intro_srcs;
9405
3235873fdd90 improved error msg;
wenzelm
parents: 9315
diff changeset
   836
    fun read_rule s = Thm.read_cterm sign (s, propT)
3235873fdd90 improved error msg;
wenzelm
parents: 9315
diff changeset
   837
      handle ERROR => error ("The error(s) above occurred for " ^ s);
3235873fdd90 improved error msg;
wenzelm
parents: 9315
diff changeset
   838
    val intr_ts = map (Thm.term_of o read_rule o snd o fst) intro_srcs;
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   839
    val intr_atts = map (map (Attrib.global_attribute thy) o snd) intro_srcs;
7020
75ff179df7b7 Exported function unify_consts (workaround to avoid inconsistently
berghofe
parents: 6851
diff changeset
   840
    val (cs', intr_ts') = unify_consts sign cs intr_ts;
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   841
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   842
    val ((thy', con_defs), monos) = thy
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   843
      |> IsarThy.apply_theorems raw_monos
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   844
      |> apfst (IsarThy.apply_theorems raw_con_defs);
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   845
  in
7020
75ff179df7b7 Exported function unify_consts (workaround to avoid inconsistently
berghofe
parents: 6851
diff changeset
   846
    add_inductive_i verbose false "" coind false false cs'
75ff179df7b7 Exported function unify_consts (workaround to avoid inconsistently
berghofe
parents: 6851
diff changeset
   847
      atts ((intr_names ~~ intr_ts') ~~ intr_atts) monos con_defs thy'
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   848
  end;
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   849
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   850
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   851
6437
9bdfe07ba8e9 'HOL/inductive' theory data;
wenzelm
parents: 6430
diff changeset
   852
(** package setup **)
9bdfe07ba8e9 'HOL/inductive' theory data;
wenzelm
parents: 6430
diff changeset
   853
9bdfe07ba8e9 'HOL/inductive' theory data;
wenzelm
parents: 6430
diff changeset
   854
(* setup theory *)
9bdfe07ba8e9 'HOL/inductive' theory data;
wenzelm
parents: 6430
diff changeset
   855
8634
3f34637cb9c0 use Attrib.add_del_args;
wenzelm
parents: 8433
diff changeset
   856
val setup =
3f34637cb9c0 use Attrib.add_del_args;
wenzelm
parents: 8433
diff changeset
   857
 [InductiveData.init,
9625
77506775481e renamed 'mk_cases_tac' to 'ind_cases';
wenzelm
parents: 9598
diff changeset
   858
  Method.add_methods [("ind_cases", mk_cases_meth oo mk_cases_args,
9598
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   859
    "dynamic case analysis on sets")],
9893
93d2fde0306c tuned msg;
wenzelm
parents: 9831
diff changeset
   860
  Attrib.add_attributes [("mono", mono_attr, "declaration of monotonicity rule")]];
6437
9bdfe07ba8e9 'HOL/inductive' theory data;
wenzelm
parents: 6430
diff changeset
   861
9bdfe07ba8e9 'HOL/inductive' theory data;
wenzelm
parents: 6430
diff changeset
   862
9bdfe07ba8e9 'HOL/inductive' theory data;
wenzelm
parents: 6430
diff changeset
   863
(* outer syntax *)
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   864
6723
f342449d73ca outer syntax keyword classification;
wenzelm
parents: 6556
diff changeset
   865
local structure P = OuterParse and K = OuterSyntax.Keyword in
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   866
6521
16c425fc00cb intrs attributes;
wenzelm
parents: 6437
diff changeset
   867
fun mk_ind coind (((sets, (atts, intrs)), monos), con_defs) =
6723
f342449d73ca outer syntax keyword classification;
wenzelm
parents: 6556
diff changeset
   868
  #1 o add_inductive true coind sets atts (map P.triple_swap intrs) monos con_defs;
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   869
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   870
fun ind_decl coind =
6729
b6e167580a32 formal comments (still dummy);
wenzelm
parents: 6723
diff changeset
   871
  (Scan.repeat1 P.term --| P.marg_comment) --
9598
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   872
  (P.$$$ "intros" |--
7152
44d46a112127 tuned outer syntax;
wenzelm
parents: 7107
diff changeset
   873
    P.!!! (P.opt_attribs -- Scan.repeat1 (P.opt_thm_name ":" -- P.prop --| P.marg_comment))) --
6729
b6e167580a32 formal comments (still dummy);
wenzelm
parents: 6723
diff changeset
   874
  Scan.optional (P.$$$ "monos" |-- P.!!! P.xthms1 --| P.marg_comment) [] --
b6e167580a32 formal comments (still dummy);
wenzelm
parents: 6723
diff changeset
   875
  Scan.optional (P.$$$ "con_defs" |-- P.!!! P.xthms1 --| P.marg_comment) []
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   876
  >> (Toplevel.theory o mk_ind coind);
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   877
6723
f342449d73ca outer syntax keyword classification;
wenzelm
parents: 6556
diff changeset
   878
val inductiveP =
f342449d73ca outer syntax keyword classification;
wenzelm
parents: 6556
diff changeset
   879
  OuterSyntax.command "inductive" "define inductive sets" K.thy_decl (ind_decl false);
f342449d73ca outer syntax keyword classification;
wenzelm
parents: 6556
diff changeset
   880
f342449d73ca outer syntax keyword classification;
wenzelm
parents: 6556
diff changeset
   881
val coinductiveP =
f342449d73ca outer syntax keyword classification;
wenzelm
parents: 6556
diff changeset
   882
  OuterSyntax.command "coinductive" "define coinductive sets" K.thy_decl (ind_decl true);
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   883
7107
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   884
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   885
val ind_cases =
9625
77506775481e renamed 'mk_cases_tac' to 'ind_cases';
wenzelm
parents: 9598
diff changeset
   886
  P.opt_thm_name ":" -- Scan.repeat1 P.prop -- P.marg_comment
7107
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   887
  >> (Toplevel.theory o inductive_cases);
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   888
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   889
val inductive_casesP =
9804
ee0c337327cf "inductive_cases": proper command;
wenzelm
parents: 9643
diff changeset
   890
  OuterSyntax.command "inductive_cases"
9598
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   891
    "create simplified instances of elimination rules (improper)" K.thy_script ind_cases;
7107
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   892
9643
c94db1a96f4e removed obsolete keyword;
wenzelm
parents: 9625
diff changeset
   893
val _ = OuterSyntax.add_keywords ["intros", "monos", "con_defs"];
7107
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   894
val _ = OuterSyntax.add_parsers [inductiveP, coinductiveP, inductive_casesP];
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   895
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   896
end;
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   897
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   898
end;