src/HOL/Tools/inductive_package.ML
author berghofe
Fri, 13 Oct 2006 18:27:27 +0200
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child 21048 e57e91f72831
permissions -rw-r--r--
Completely rewrote inductive definition package. Now allows to define n-ary predicates directly (rather than sets of n-tuples), using generalized fixpoint theory for arbitrary complete lattices.
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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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(Co)Inductive Definition module for HOL.
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Features:
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  * least or greatest fixedpoints
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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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  Introduction rules have the form
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  [| M Pj ti, ..., Q x, ... |] ==> Pk t
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  where M is some monotone operator (usually the identity)
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  Q x is any side condition on the free variables
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  ti, t are any terms
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  Pj, Pk are two of the predicates being defined in mutual recursion
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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 trace: bool ref
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  type inductive_result
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  type inductive_info
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  val get_inductive: Context.generic -> string -> inductive_info option
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  val the_mk_cases: Context.generic -> string -> string -> thm
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  val print_inductives: Context.generic -> unit
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  val mono_add: attribute
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  val mono_del: attribute
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  val get_monos: Context.generic -> 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 * Attrib.src list) * string list) list -> theory -> theory
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  val inductive_cases_i: ((bstring * attribute list) * term list) list -> theory -> theory
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  val add_inductive_i: bool -> bstring -> bool -> bool -> bool -> (string * typ option * mixfix) list ->
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    (string * typ option) list -> ((bstring * Attrib.src list) * term) list -> thm list ->
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      local_theory -> local_theory * inductive_result
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  val add_inductive: bool -> bool -> (string * string option * mixfix) list ->
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    (string * string option * mixfix) list ->
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    ((bstring * Attrib.src list) * string) list -> (thmref * Attrib.src list) list ->
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    local_theory -> local_theory * inductive_result
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  val setup: theory -> theory
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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 = "Orderings.mono";
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val gfp_name = "FixedPoint.gfp";
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val lfp_name = "FixedPoint.lfp";
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val inductive_forall_name = "HOL.induct_forall";
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val inductive_forall_def = thm "induct_forall_def";
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val inductive_conj_name = "HOL.induct_conj";
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val inductive_conj_def = thm "induct_conj_def";
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val inductive_conj = thms "induct_conj";
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val inductive_atomize = thms "induct_atomize";
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val inductive_rulify = thms "induct_rulify";
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val inductive_rulify_fallback = thms "induct_rulify_fallback";
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val notTrueE = TrueI RSN (2, notE);
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val notFalseI = Seq.hd (atac 1 notI);
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val simp_thms' = map (fn s => mk_meta_eq (the (find_first
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  (equal (term_of (read_cterm HOL.thy (s, propT))) o prop_of) simp_thms)))
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  ["(~True) = False", "(~False) = True",
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   "(True --> ?P) = ?P", "(False --> ?P) = True",
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   "(?P & True) = ?P", "(True & ?P) = ?P"];
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(** theory data **)
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type inductive_result =
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  {preds: term list, 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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type inductive_info =
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  {names: string list, coind: bool} * inductive_result;
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structure InductiveData = GenericDataFun
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(struct
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  val name = "HOL/inductive2";
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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 extend = I;
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  fun merge _ ((tab1, monos1), (tab2, monos2)) =
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    (Symtab.merge (K true) (tab1, tab2), Drule.merge_rules (monos1, monos2));
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  fun print generic (tab, monos) =
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    [Pretty.strs ("(co)inductives:" ::
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      map #1 (NameSpace.extern_table
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        (Sign.const_space (Context.theory_of generic), tab))),  (* FIXME? *)
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     Pretty.big_list "monotonicity rules:"
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        (map (ProofContext.pretty_thm (Context.proof_of generic)) monos)]
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    |> Pretty.chunks |> Pretty.writeln;
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end);
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val print_inductives = InductiveData.print;
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(* get and put data *)
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val get_inductive = Symtab.lookup o #1 o InductiveData.get;
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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 predicate " ^ quote name)
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  | SOME info => info);
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val the_mk_cases = (#mk_cases o #2) oo the_inductive;
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fun put_inductives names info = InductiveData.map (apfst (fn tab =>
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  fold (fn name => Symtab.update_new (name, info)) names tab
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    handle Symtab.DUP dup => error ("Duplicate definition of (co)inductive predicate " ^ quote dup)));
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(** monotonicity rules **)
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val get_monos = #2 o InductiveData.get;
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val map_monos = InductiveData.map o Library.apsnd;
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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 can Logic.dest_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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(* attributes *)
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val mono_add = Thm.declaration_attribute (fn th =>
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  map_monos (fold Drule.add_rule (mk_mono th)));
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val mono_del = Thm.declaration_attribute (fn th =>
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  map_monos (fold Drule.del_rule (mk_mono th)));
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(** misc utilities **)
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val quiet_mode = ref false;
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val trace = ref false;  (*for debugging*)
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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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fun log b m n = if m >= n then 0 else 1 + log b (b * m) n;
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fun make_bool_args f g [] i = []
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  | make_bool_args f g (x :: xs) i =
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      (if i mod 2 = 0 then f x else g x) :: make_bool_args f g xs (i div 2);
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fun make_bool_args' xs =
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  make_bool_args (K HOLogic.false_const) (K HOLogic.true_const) xs;
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fun find_arg T x [] = sys_error "find_arg"
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  | find_arg T x ((p as (_, (SOME _, _))) :: ps) =
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      apsnd (cons p) (find_arg T x ps)
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  | find_arg T x ((p as (U, (NONE, y))) :: ps) =
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      if T = U then (y, (U, (SOME x, y)) :: ps)
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      else apsnd (cons p) (find_arg T x ps);
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fun make_args Ts xs =
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  map (fn (T, (NONE, ())) => Const ("arbitrary", T) | (_, (SOME t, ())) => t)
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    (fold (fn (t, T) => snd o find_arg T t) xs (map (rpair (NONE, ())) Ts));
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fun make_args' Ts xs Us =
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  fst (fold_map (fn T => find_arg T ()) Us (Ts ~~ map (pair NONE) xs));
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fun dest_predicate cs params t =
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  let
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    val k = length params;
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    val (c, ts) = strip_comb t;
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    val (xs, ys) = chop k ts;
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    val i = find_index_eq c cs;
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  in
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    if xs = params andalso i >= 0 then
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      SOME (c, i, ys, chop (length ys)
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        (List.drop (binder_types (fastype_of c), k)))
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    else NONE
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  end;
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fun mk_names a 0 = []
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  | mk_names a 1 = [a]
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  | mk_names a n = map (fn i => a ^ string_of_int i) (1 upto n);
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(** process rules **)
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local
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fun err_in_rule thy name t msg =
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  error (cat_lines ["Ill-formed introduction rule " ^ quote name,
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    Sign.string_of_term thy t, msg]);
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fun err_in_prem thy name t p msg =
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  error (cat_lines ["Ill-formed premise", Sign.string_of_term thy p,
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    "in introduction rule " ^ quote name, Sign.string_of_term thy t, msg]);
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val bad_concl = "Conclusion of introduction rule must be an inductive predicate";
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val bad_ind_occ = "Inductive predicate occurs in argument of inductive predicate";
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val bad_app = "Inductive predicate must be applied to parameter(s) ";
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fun atomize_term thy = MetaSimplifier.rewrite_term thy inductive_atomize [];
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in
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fun check_rule thy cs params ((name, att), rule) =
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  let
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    val params' = Term.variant_frees rule (Logic.strip_params rule);
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    val frees = rev (map Free params');
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    val concl = subst_bounds (frees, Logic.strip_assums_concl rule);
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    val prems = map (curry subst_bounds frees) (Logic.strip_assums_hyp rule);
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    val aprems = map (atomize_term thy) prems;
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    val arule = list_all_free (params', Logic.list_implies (aprems, concl));
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    fun check_ind err t = case dest_predicate cs params t of
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        NONE => err (bad_app ^
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          commas (map (Sign.string_of_term thy) params))
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      | SOME (_, _, ys, _) =>
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          if exists (fn c => exists (fn t => Logic.occs (c, t)) ys) cs
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          then err bad_ind_occ else ();
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    fun check_prem' prem t =
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      if head_of t mem cs then
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        check_ind (err_in_prem thy name rule prem) t
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      else (case t of
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          Abs (_, _, t) => check_prem' prem t
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        | t $ u => (check_prem' prem t; check_prem' prem u)
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        | _ => ());
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    fun check_prem (prem, aprem) =
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      if can HOLogic.dest_Trueprop aprem then check_prem' prem prem
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      else err_in_prem thy name rule prem "Non-atomic premise";
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  in
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    (case concl of
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       Const ("Trueprop", _) $ t => 
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         if head_of t mem cs then
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           (check_ind (err_in_rule thy name rule) t;
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            List.app check_prem (prems ~~ aprems))
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         else err_in_rule thy name rule bad_concl
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     | _ => err_in_rule thy name rule bad_concl);
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    ((name, att), arule)
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  end;
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val rulify =  (* FIXME norm_hhf *)
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  hol_simplify inductive_conj
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  #> hol_simplify inductive_rulify
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  #> hol_simplify inductive_rulify_fallback
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  (*#> standard*);
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end;
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(** properties of (co)inductive predicates **)
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(* prepare cases and induct rules *)
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fun add_cases_induct no_elim no_induct coind rec_name names elims induct =
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  let
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    fun cases_spec name elim =
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      LocalTheory.note ((NameSpace.append (Sign.base_name name) "cases",
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        [Attrib.internal (InductAttrib.cases_set name)]), [elim]) #> snd;
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    val cases_specs = if no_elim then [] else map2 cases_spec names elims;
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    val induct_att = if coind then InductAttrib.coinduct_set else InductAttrib.induct_set;
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    fun induct_specs ctxt =
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      if no_induct then ctxt
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      else
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        let
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          val rules = names ~~ ProjectRule.projects ctxt (1 upto length names) induct;
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          val inducts = map (RuleCases.save induct o standard o #2) rules;
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        in
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          ctxt |>
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          LocalTheory.notes (rules |> map (fn (name, th) =>
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            (("", [Attrib.internal (RuleCases.consumes 1),
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                Attrib.internal (induct_att name)]), [([th], [])]))) |> snd |>
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          LocalTheory.note ((NameSpace.append rec_name
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              (coind_prefix coind ^ "inducts"),
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            [Attrib.internal (RuleCases.consumes 1)]), inducts) |> snd
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        end;
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  in Library.apply cases_specs #> induct_specs end;
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74639e19eca0 add_cases_induct: project_rules accomodates mutual induction;
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74639e19eca0 add_cases_induct: project_rules accomodates mutual induction;
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(** proofs for (co)inductive predicates **)
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(* prove monotonicity -- NOT subject to quick_and_dirty! *)
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fun prove_mono predT fp_fun monos ctxt =
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 (message "  Proving monotonicity ...";
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  Goal.prove ctxt [] []   (*NO quick_and_dirty here!*)
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    (HOLogic.mk_Trueprop
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      (Const (mono_name, (predT --> predT) --> HOLogic.boolT) $ fp_fun))
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    (fn _ => EVERY [rtac monoI 1,
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      REPEAT (resolve_tac [le_funI, le_boolI'] 1),
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      REPEAT (FIRST
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        [atac 1,
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         resolve_tac (List.concat (map mk_mono monos) @
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           get_monos (Context.Proof ctxt)) 1,
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         etac le_funE 1, dtac le_boolD 1])]));
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(* prove introduction rules *)
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fun prove_intrs coind mono fp_def k intr_ts rec_preds_defs ctxt =
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  let
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    val _ = clean_message "  Proving the introduction rules ...";
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    val unfold = funpow k (fn th => th RS fun_cong)
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      (mono RS (fp_def RS
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        (if coind then def_gfp_unfold else def_lfp_unfold)));
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    fun select_disj 1 1 = []
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      | select_disj _ 1 = [rtac disjI1]
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      | select_disj n i = (rtac disjI2)::(select_disj (n - 1) (i - 1));
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    val rules = [refl, TrueI, notFalseI, exI, conjI];
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    val intrs = map_index (fn (i, intr) =>
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      rulify (SkipProof.prove ctxt [] [] intr (fn _ => EVERY
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       [rewrite_goals_tac rec_preds_defs,
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        rtac (unfold RS iffD2) 1,
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        EVERY1 (select_disj (length intr_ts) (i + 1)),
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        (*Not ares_tac, since refl must be tried before any equality assumptions;
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          backtracking may occur if the premises have extra variables!*)
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        DEPTH_SOLVE_1 (resolve_tac rules 1 APPEND assume_tac 1)]))) intr_ts
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  in (intrs, unfold) end;
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(* prove elimination rules *)
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fun prove_elims cs params intr_ts intr_names unfold rec_preds_defs ctxt =
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  let
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    val _ = clean_message "  Proving the elimination rules ...";
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    val ([pname], ctxt') = Variable.variant_fixes ["P"] ctxt;
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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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      (the (dest_predicate cs params (HOLogic.dest_Trueprop (Logic.strip_assums_concl r))),
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       Logic.strip_assums_hyp r, Logic.strip_params r);
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    val intrs = map dest_intr intr_ts ~~ intr_names;
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    val rules1 = [disjE, exE, FalseE];
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    val rules2 = [conjE, FalseE, notTrueE];
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    fun prove_elim c =
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      let
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        val Ts = List.drop (binder_types (fastype_of c), length params);
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        val (anames, ctxt'') = Variable.variant_fixes (mk_names "a" (length Ts)) ctxt';
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        val frees = map Free (anames ~~ Ts);
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        fun mk_elim_prem ((_, _, us, _), ts, params') =
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          list_all (params',
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            Logic.list_implies (map (HOLogic.mk_Trueprop o HOLogic.mk_eq)
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              (frees ~~ us) @ ts, P));
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        val c_intrs = (List.filter (equal c o #1 o #1 o #1) intrs);
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        val prems = HOLogic.mk_Trueprop (list_comb (c, params @ frees)) ::
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           map mk_elim_prem (map #1 c_intrs)
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      in
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        SkipProof.prove ctxt'' [] prems P
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          (fn {prems, ...} => EVERY
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            [cut_facts_tac [hd prems] 1,
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             rewrite_goals_tac rec_preds_defs,
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             dtac (unfold RS iffD1) 1,
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             REPEAT (FIRSTGOAL (eresolve_tac rules1)),
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             REPEAT (FIRSTGOAL (eresolve_tac rules2)),
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             EVERY (map (fn prem =>
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               DEPTH_SOLVE_1 (ares_tac [rewrite_rule rec_preds_defs prem, conjI] 1)) (tl prems))])
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          |> rulify
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          |> singleton (ProofContext.export ctxt'' ctxt)
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          |> RuleCases.name (map #2 c_intrs)
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      end
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   402
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   in map prove_elim cs end;
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(* derivation of simplified elimination rules *)
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local
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   409
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(*cprop should have the form "Si t" where Si is an inductive predicate*)
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val mk_cases_err = "mk_cases: proposition not an inductive predicate";
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(*delete needless equality assumptions*)
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   414
val refl_thin = prove_goal HOL.thy "!!P. a = a ==> P ==> P" (fn _ => [assume_tac 1]);
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   415
val elim_rls = [asm_rl, FalseE, refl_thin, conjE, exE];
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   416
val elim_tac = REPEAT o Tactic.eresolve_tac elim_rls;
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d9063229b4a1 simp_case_tac is back again from induct_method.ML;
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   418
fun simp_case_tac solved ss i =
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   419
  EVERY' [elim_tac, asm_full_simp_tac ss, elim_tac, REPEAT o bound_hyp_subst_tac] i
d9063229b4a1 simp_case_tac is back again from induct_method.ML;
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   420
  THEN_MAYBE (if solved then no_tac else all_tac);
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d9063229b4a1 simp_case_tac is back again from induct_method.ML;
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in
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   423
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
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   424
fun mk_cases_i elims ss cprop =
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ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
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   425
  let
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
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   426
    val prem = Thm.assume cprop;
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   427
    val tac = ALLGOALS (simp_case_tac false ss) THEN prune_params_tac;
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7d9b562a750b use InductMethod.simp_case_tac;
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   428
    fun mk_elim rl = Drule.standard (Tactic.rule_by_tactic tac (prem RS rl));
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ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
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   429
  in
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
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   430
    (case get_first (try mk_elim) elims of
15531
08c8dad8e399 Deleted Library.option type.
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   431
      SOME r => r
08c8dad8e399 Deleted Library.option type.
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   432
    | NONE => error (Pretty.string_of (Pretty.block
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   433
        [Pretty.str mk_cases_err, Pretty.fbrk, Display.pretty_cterm cprop])))
7107
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
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   434
  end;
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
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   435
6141
a6922171b396 removal of the (thm list) argument of mk_cases
paulson
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   436
fun mk_cases elims s =
16432
a6e8fb94a8ca accomodate change of TheoryDataFun;
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   437
  mk_cases_i elims (simpset()) (Thm.read_cterm (Thm.theory_of_thm (hd elims)) (s, propT));
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   438
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   439
fun smart_mk_cases ctxt ss cprop =
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   440
  let
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   441
    val c = #1 (Term.dest_Const (Term.head_of (HOLogic.dest_Trueprop
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   442
      (Logic.strip_imp_concl (Thm.term_of cprop))))) handle TERM _ => error mk_cases_err;
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   443
    val (_, {elims, ...}) = the_inductive ctxt c;
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65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
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   444
  in mk_cases_i elims ss cprop end;
7107
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
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   445
11682
d9063229b4a1 simp_case_tac is back again from induct_method.ML;
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   446
end;
d9063229b4a1 simp_case_tac is back again from induct_method.ML;
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   447
7107
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
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   448
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
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   449
(* inductive_cases(_i) *)
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
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diff changeset
   450
12609
fb073a34b537 'inductive_cases': support 'and' form;
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   451
fun gen_inductive_cases prep_att prep_prop args thy =
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65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   452
  let
16432
a6e8fb94a8ca accomodate change of TheoryDataFun;
wenzelm
parents: 16364
diff changeset
   453
    val cert_prop = Thm.cterm_of thy o prep_prop (ProofContext.init thy);
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   454
    val mk_cases = smart_mk_cases (Context.Theory thy) (Simplifier.simpset_of thy) o cert_prop;
12609
fb073a34b537 'inductive_cases': support 'and' form;
wenzelm
parents: 12527
diff changeset
   455
12876
a70df1e5bf10 got rid of explicit marginal comments (now stripped earlier from input);
wenzelm
parents: 12798
diff changeset
   456
    val facts = args |> map (fn ((a, atts), props) =>
a70df1e5bf10 got rid of explicit marginal comments (now stripped earlier from input);
wenzelm
parents: 12798
diff changeset
   457
     ((a, map (prep_att thy) atts), map (Thm.no_attributes o single o mk_cases) props));
20901
437ca370dbd7 attribute: Context.mapping;
wenzelm
parents: 20872
diff changeset
   458
  in thy |> PureThy.note_thmss_i "" facts |> snd end;
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   459
18728
6790126ab5f6 simplified type attribute;
wenzelm
parents: 18708
diff changeset
   460
val inductive_cases = gen_inductive_cases Attrib.attribute ProofContext.read_prop;
12172
wenzelm
parents: 12165
diff changeset
   461
val inductive_cases_i = gen_inductive_cases (K I) ProofContext.cert_prop;
7107
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   462
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   463
9598
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   464
(* mk_cases_meth *)
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   465
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   466
fun mk_cases_meth (ctxt, raw_props) =
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   467
  let
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   468
    val thy = ProofContext.theory_of ctxt;
15032
02aed07e01bf local_cla/simpset_of;
wenzelm
parents: 14981
diff changeset
   469
    val ss = local_simpset_of ctxt;
16432
a6e8fb94a8ca accomodate change of TheoryDataFun;
wenzelm
parents: 16364
diff changeset
   470
    val cprops = map (Thm.cterm_of thy o ProofContext.read_prop ctxt) raw_props;
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   471
  in Method.erule 0 (map (smart_mk_cases (Context.Theory thy) ss) cprops) end;
9598
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   472
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   473
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
   474
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   475
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   476
(* prove induction rule *)
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   477
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   478
fun prove_indrule cs argTs bs xs rec_const params intr_ts mono
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   479
    fp_def rec_preds_defs ctxt =
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   480
  let
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   481
    val _ = clean_message "  Proving the induction rule ...";
20047
e23a3afaaa8a Goal.prove_global;
wenzelm
parents: 19874
diff changeset
   482
    val thy = ProofContext.theory_of ctxt;
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   483
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   484
    (* predicates for induction rule *)
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   485
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   486
    val (pnames, ctxt') = Variable.variant_fixes (mk_names "P" (length cs)) ctxt;
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   487
    val preds = map Free (pnames ~~
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   488
      map (fn c => List.drop (binder_types (fastype_of c), length params) --->
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   489
        HOLogic.boolT) cs);
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   490
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   491
    (* transform an introduction rule into a premise for induction rule *)
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   492
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   493
    fun mk_ind_prem r =
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   494
      let
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   495
        fun subst s = (case dest_predicate cs params s of
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   496
            SOME (_, i, ys, (_, Ts)) =>
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   497
              let
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   498
                val k = length Ts;
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   499
                val bs = map Bound (k - 1 downto 0);
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   500
                val P = list_comb (List.nth (preds, i), ys @ bs);
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   501
                val Q = list_abs (mk_names "x" k ~~ Ts,
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   502
                  HOLogic.mk_binop inductive_conj_name (list_comb (s, bs), P))
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   503
              in (Q, case Ts of [] => SOME (s, P) | _ => NONE) end
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   504
          | NONE => (case s of
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   505
              (t $ u) => (fst (subst t) $ fst (subst u), NONE)
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   506
            | (Abs (a, T, t)) => (Abs (a, T, fst (subst t)), NONE)
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   507
            | _ => (s, NONE)));
7293
959e060f4a2f Moved sum_case stuff from Sum to Datatype.
berghofe
parents: 7257
diff changeset
   508
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   509
        fun mk_prem (s, prems) = (case subst s of
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   510
              (_, SOME (t, u)) => t :: u :: prems
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   511
            | (t, _) => t :: prems);
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   512
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   513
        val SOME (_, i, ys, _) = dest_predicate cs params
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   514
          (HOLogic.dest_Trueprop (Logic.strip_assums_concl r))
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   515
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   516
      in list_all_free (Logic.strip_params r,
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   517
        Logic.list_implies (map HOLogic.mk_Trueprop (foldr mk_prem
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   518
          [] (map HOLogic.dest_Trueprop (Logic.strip_assums_hyp r))),
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   519
            HOLogic.mk_Trueprop (list_comb (List.nth (preds, i), ys))))
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   520
      end;
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   521
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   522
    val ind_prems = map mk_ind_prem intr_ts;
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   523
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   524
    (* make conclusions for induction rules *)
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   525
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   526
    val Tss = map (binder_types o fastype_of) preds;
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   527
    val (xnames, ctxt'') =
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   528
      Variable.variant_fixes (mk_names "x" (length (flat Tss))) ctxt';
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   529
    val mutual_ind_concl = HOLogic.mk_Trueprop (foldr1 HOLogic.mk_conj
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   530
        (map (fn (((xnames, Ts), c), P) =>
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   531
           let val frees = map Free (xnames ~~ Ts)
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   532
           in HOLogic.mk_imp
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   533
             (list_comb (c, params @ frees), list_comb (P, frees))
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   534
           end) (unflat Tss xnames ~~ Tss ~~ cs ~~ preds)));
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   535
13626
282fbabec862 Fixed bug involving inductive definitions having equalities in the premises,
paulson
parents: 13197
diff changeset
   536
    val dummy = if !trace then
17985
d5d576b72371 avoid legacy goals;
wenzelm
parents: 17959
diff changeset
   537
                (writeln "ind_prems = ";
d5d576b72371 avoid legacy goals;
wenzelm
parents: 17959
diff changeset
   538
                 List.app (writeln o Sign.string_of_term thy) ind_prems)
d5d576b72371 avoid legacy goals;
wenzelm
parents: 17959
diff changeset
   539
            else ();
13626
282fbabec862 Fixed bug involving inductive definitions having equalities in the premises,
paulson
parents: 13197
diff changeset
   540
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   541
    (* make predicate for instantiation of abstract induction rule *)
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   542
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   543
    val ind_pred = fold_rev lambda (bs @ xs) (foldr1 HOLogic.mk_conj
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   544
      (map_index (fn (i, P) => foldr HOLogic.mk_imp
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   545
         (list_comb (P, make_args' argTs xs (binder_types (fastype_of P))))
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   546
         (make_bool_args HOLogic.mk_not I bs i)) preds));
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   547
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   548
    val ind_concl = HOLogic.mk_Trueprop
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   549
      (HOLogic.mk_binrel "Orderings.less_eq" (rec_const, ind_pred));
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   550
13626
282fbabec862 Fixed bug involving inductive definitions having equalities in the premises,
paulson
parents: 13197
diff changeset
   551
    val raw_fp_induct = (mono RS (fp_def RS def_lfp_induct));
282fbabec862 Fixed bug involving inductive definitions having equalities in the premises,
paulson
parents: 13197
diff changeset
   552
282fbabec862 Fixed bug involving inductive definitions having equalities in the premises,
paulson
parents: 13197
diff changeset
   553
    val dummy = if !trace then
17985
d5d576b72371 avoid legacy goals;
wenzelm
parents: 17959
diff changeset
   554
                (writeln "raw_fp_induct = "; print_thm raw_fp_induct)
d5d576b72371 avoid legacy goals;
wenzelm
parents: 17959
diff changeset
   555
            else ();
13626
282fbabec862 Fixed bug involving inductive definitions having equalities in the premises,
paulson
parents: 13197
diff changeset
   556
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   557
    val induct = SkipProof.prove ctxt'' [] ind_prems ind_concl
20248
7916ce5bb069 Goal.prove: more tactic arguments;
wenzelm
parents: 20071
diff changeset
   558
      (fn {prems, ...} => EVERY
17985
d5d576b72371 avoid legacy goals;
wenzelm
parents: 17959
diff changeset
   559
        [rewrite_goals_tac [inductive_conj_def],
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   560
         DETERM (rtac raw_fp_induct 1),
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   561
         REPEAT (resolve_tac [le_funI, le_boolI] 1),
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   562
         rewrite_goals_tac (map mk_meta_eq [meet_fun_eq, meet_bool_eq] @ simp_thms'),
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   563
         (*This disjE separates out the introduction rules*)
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   564
         REPEAT (FIRSTGOAL (eresolve_tac [disjE, exE, FalseE])),
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   565
         (*Now break down the individual cases.  No disjE here in case
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   566
           some premise involves disjunction.*)
13747
bf308fcfd08e Better treatment of equality in premises of inductive definitions. Less
paulson
parents: 13709
diff changeset
   567
         REPEAT (FIRSTGOAL (etac conjE ORELSE' bound_hyp_subst_tac)),
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   568
         REPEAT (FIRSTGOAL
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   569
           (resolve_tac [conjI, impI] ORELSE' (etac notE THEN' atac))),
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   570
         EVERY (map (fn prem => DEPTH_SOLVE_1 (ares_tac [rewrite_rule
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   571
           (inductive_conj_def :: rec_preds_defs) prem, conjI, refl] 1)) prems)]);
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   572
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   573
    val lemma = SkipProof.prove ctxt'' [] []
17985
d5d576b72371 avoid legacy goals;
wenzelm
parents: 17959
diff changeset
   574
      (Logic.mk_implies (ind_concl, mutual_ind_concl)) (fn _ => EVERY
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   575
        [rewrite_goals_tac rec_preds_defs,
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   576
         REPEAT (EVERY
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   577
           [REPEAT (resolve_tac [conjI, impI] 1),
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   578
            REPEAT (eresolve_tac [le_funE, le_boolE] 1),
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   579
            atac 1,
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   580
            rewrite_goals_tac simp_thms',
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   581
            atac 1])])
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   582
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   583
  in singleton (ProofContext.export ctxt'' ctxt) (induct RS lemma) end;
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   584
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   585
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   586
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   587
(** specification of (co)inductive predicates **)
10729
1b3350c4ee92 handle proper rules;
wenzelm
parents: 10569
diff changeset
   588
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   589
fun mk_ind_def alt_name coind cs intr_ts monos
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   590
      params cnames_syn ctxt =
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   591
  let
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   592
    val fp_name = if coind then gfp_name else lfp_name;
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   593
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   594
    val argTs = fold (fn c => fn Ts => Ts @
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   595
      (List.drop (binder_types (fastype_of c), length params) \\ Ts)) cs [];
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   596
    val k = log 2 1 (length cs);
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   597
    val predT = replicate k HOLogic.boolT ---> argTs ---> HOLogic.boolT;
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   598
    val p :: xs = map Free (Variable.variant_frees ctxt intr_ts
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   599
      (("p", predT) :: (mk_names "x" (length argTs) ~~ argTs)));
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   600
    val bs = map Free (Variable.variant_frees ctxt (p :: xs @ intr_ts)
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   601
      (map (rpair HOLogic.boolT) (mk_names "b" k)));
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   602
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   603
    fun subst t = (case dest_predicate cs params t of
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   604
        SOME (_, i, ts, (Ts, Us)) =>
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   605
          let val zs = map Bound (length Us - 1 downto 0)
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   606
          in
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   607
            list_abs (map (pair "z") Us, list_comb (p,
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   608
              make_bool_args' bs i @ make_args argTs ((ts ~~ Ts) @ (zs ~~ Us))))
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   609
          end
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   610
      | NONE => (case t of
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   611
          t1 $ t2 => subst t1 $ subst t2
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   612
        | Abs (x, T, u) => Abs (x, T, subst u)
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   613
        | _ => t));
5149
10f0be29c0d1 Fixed bug in transform_rule.
berghofe
parents: 5120
diff changeset
   614
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   615
    (* transform an introduction rule into a conjunction  *)
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   616
    (*   [| p_i t; ... |] ==> p_j u                       *)
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   617
    (* is transformed into                                *)
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   618
    (*   b_j & x_j = u & p b_j t & ...                    *)
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   619
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   620
    fun transform_rule r =
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   621
      let
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   622
        val SOME (_, i, ts, (Ts, _)) = dest_predicate cs params
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   623
          (HOLogic.dest_Trueprop (Logic.strip_assums_concl r))
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   624
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   625
      in foldr (fn ((x, T), P) => HOLogic.exists_const T $ (Abs (x, T, P)))
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   626
        (foldr1 HOLogic.mk_conj
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   627
          (make_bool_args HOLogic.mk_not I bs i @
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   628
           map HOLogic.mk_eq (make_args' argTs xs Ts ~~ ts) @
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   629
           map (subst o HOLogic.dest_Trueprop)
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   630
             (Logic.strip_assums_hyp r))) (Logic.strip_params r)
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   631
      end
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   632
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   633
    (* make a disjunction of all introduction rules *)
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   634
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   635
    val fp_fun = fold_rev lambda (p :: bs @ xs)
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   636
      (if null intr_ts then HOLogic.false_const
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   637
       else foldr1 HOLogic.mk_disj (map transform_rule intr_ts));
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   638
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   639
    (* add definiton of recursive predicates to theory *)
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   640
14235
281295a1bbaa Fixed bug in mk_ind_def that caused the inductive definition package to
berghofe
parents: 13747
diff changeset
   641
    val rec_name = if alt_name = "" then
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   642
      space_implode "_" (map fst cnames_syn) else alt_name;
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   643
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   644
    val ((rec_const, (_, fp_def)), ctxt') = ctxt |>
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   645
      Variable.add_fixes (map (fst o dest_Free) params) |> snd |>
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   646
      fold Variable.declare_term intr_ts |>
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   647
      LocalTheory.def
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   648
        ((rec_name, case cnames_syn of [(_, syn)] => syn | _ => NoSyn),
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   649
         (("", []), fold_rev lambda params
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   650
           (Const (fp_name, (predT --> predT) --> predT) $ fp_fun)));
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   651
    val fp_def' = Simplifier.rewrite (HOL_basic_ss addsimps [fp_def])
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   652
      (cterm_of (ProofContext.theory_of ctxt') (list_comb (rec_const, params)));
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   653
    val specs = if length cs < 2 then [] else
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   654
      map_index (fn (i, (name_mx, c)) =>
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   655
        let
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   656
          val Ts = List.drop (binder_types (fastype_of c), length params);
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   657
          val xs = map Free (Variable.variant_frees ctxt intr_ts
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   658
            (mk_names "x" (length Ts) ~~ Ts))
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   659
        in
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   660
          (name_mx, (("", []), fold_rev lambda (params @ xs)
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   661
            (list_comb (rec_const, params @ make_bool_args' bs i @
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   662
              make_args argTs (xs ~~ Ts)))))
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   663
        end) (cnames_syn ~~ cs);
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   664
    val (consts_defs, ctxt'') = fold_map LocalTheory.def specs ctxt';
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   665
    val preds = (case cs of [_] => [rec_const] | _ => map #1 consts_defs);
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   666
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   667
    val mono = prove_mono predT fp_fun monos ctxt''
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   668
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   669
  in (ctxt'', rec_name, mono, fp_def', map (#2 o #2) consts_defs,
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   670
    list_comb (rec_const, params), preds, argTs, bs, xs)
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   671
  end;
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   672
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   673
fun add_ind_def verbose alt_name coind no_elim no_ind cs
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   674
    intros monos params cnames_syn induct_cases ctxt =
9072
a4896cf23638 Now also proves monotonicity when in quick_and_dirty mode.
berghofe
parents: 8720
diff changeset
   675
  let
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   676
    val _ =
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   677
      if verbose then message ("Proofs for " ^ coind_prefix coind ^ "inductive predicate(s) " ^
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   678
        commas_quote (map fst cnames_syn)) else ();
9072
a4896cf23638 Now also proves monotonicity when in quick_and_dirty mode.
berghofe
parents: 8720
diff changeset
   679
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   680
    val ((intr_names, intr_atts), intr_ts) = apfst split_list (split_list intros);
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   681
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   682
    val (ctxt1, rec_name, mono, fp_def, rec_preds_defs, rec_const, preds,
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   683
      argTs, bs, xs) = mk_ind_def alt_name coind cs intr_ts
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   684
        monos params cnames_syn ctxt;
9072
a4896cf23638 Now also proves monotonicity when in quick_and_dirty mode.
berghofe
parents: 8720
diff changeset
   685
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   686
    val (intrs, unfold) = prove_intrs coind mono fp_def (length bs + length xs)
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   687
      intr_ts rec_preds_defs ctxt1;
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   688
    val elims = ProofContext.export ctxt1 ctxt (if no_elim then [] else
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   689
      prove_elims cs params intr_ts intr_names unfold rec_preds_defs ctxt1);
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   690
    val raw_induct = singleton (ProofContext.export ctxt1 ctxt)
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   691
      (if no_ind then Drule.asm_rl else
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   692
       if coind then ObjectLogic.rulify (rule_by_tactic
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   693
         (rewrite_tac [le_fun_def, le_bool_def] THEN
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   694
           fold_tac rec_preds_defs) (mono RS (fp_def RS def_coinduct)))
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   695
       else
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   696
         prove_indrule cs argTs bs xs rec_const params intr_ts mono fp_def
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   697
           rec_preds_defs ctxt1);
12165
14e94ad99861 mutual rules declared as ``consumes 0'';
wenzelm
parents: 12128
diff changeset
   698
    val induct =
18222
a8ccacce3b52 declare coinduct rule;
wenzelm
parents: 17985
diff changeset
   699
      if coind then
a8ccacce3b52 declare coinduct rule;
wenzelm
parents: 17985
diff changeset
   700
        (raw_induct, [RuleCases.case_names [rec_name],
18234
0183318232f2 RuleCases.case_conclusion;
wenzelm
parents: 18222
diff changeset
   701
          RuleCases.case_conclusion (rec_name, induct_cases),
18222
a8ccacce3b52 declare coinduct rule;
wenzelm
parents: 17985
diff changeset
   702
          RuleCases.consumes 1])
a8ccacce3b52 declare coinduct rule;
wenzelm
parents: 17985
diff changeset
   703
      else if no_ind orelse length cs > 1 then
a8ccacce3b52 declare coinduct rule;
wenzelm
parents: 17985
diff changeset
   704
        (raw_induct, [RuleCases.case_names induct_cases, RuleCases.consumes 0])
a8ccacce3b52 declare coinduct rule;
wenzelm
parents: 17985
diff changeset
   705
      else (raw_induct RSN (2, rev_mp), [RuleCases.case_names induct_cases, RuleCases.consumes 1]);
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   706
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   707
    val (intrs', ctxt2) =
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   708
      ctxt1 |>
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   709
      LocalTheory.notes (map (NameSpace.append rec_name) intr_names ~~ intr_atts ~~
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   710
        map (single o rpair [] o single) (ProofContext.export ctxt1 ctxt intrs)) |>>
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   711
      map (hd o snd); (* FIXME? *)
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   712
    val (((_, (_, elims')), (_, [induct'])), ctxt3) =
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   713
      ctxt2 |>
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   714
      LocalTheory.note ((NameSpace.append rec_name "intros", []), intrs') ||>>
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   715
      LocalTheory.note ((NameSpace.append rec_name "elims",
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   716
        [Attrib.internal (RuleCases.consumes 1)]), elims) ||>>
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   717
      LocalTheory.note ((NameSpace.append rec_name (coind_prefix coind ^ "induct"),
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   718
        map Attrib.internal (#2 induct)), [rulify (#1 induct)])
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   719
  in (ctxt3, rec_name,
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   720
    {preds = preds,
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   721
     defs = fp_def :: rec_preds_defs,
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   722
     mono = singleton (ProofContext.export ctxt1 ctxt) mono,
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   723
     unfold = singleton (ProofContext.export ctxt1 ctxt) unfold,
13709
ec00ba43aee8 - No longer applies norm_hhf_rule
berghofe
parents: 13657
diff changeset
   724
     intrs = intrs',
7798
42e94b618f34 return stored thms with proper naming in derivation;
wenzelm
parents: 7710
diff changeset
   725
     elims = elims',
42e94b618f34 return stored thms with proper naming in derivation;
wenzelm
parents: 7710
diff changeset
   726
     mk_cases = mk_cases elims',
10729
1b3350c4ee92 handle proper rules;
wenzelm
parents: 10569
diff changeset
   727
     raw_induct = rulify raw_induct,
7798
42e94b618f34 return stored thms with proper naming in derivation;
wenzelm
parents: 7710
diff changeset
   728
     induct = induct'})
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   729
  end;
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   730
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   731
10735
dfaf75f0076f simplified quick_and_dirty stuff;
wenzelm
parents: 10729
diff changeset
   732
(* external interfaces *)
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   733
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   734
fun add_inductive_i verbose alt_name coind no_elim no_ind cnames_syn pnames pre_intros monos ctxt =
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   735
  let
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   736
    val thy = ProofContext.theory_of ctxt;
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   737
    val _ = Theory.requires thy "Inductive" (coind_prefix coind ^ "inductive definitions");
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   738
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   739
    val frees = fold (Term.add_frees o snd) pre_intros [];
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   740
    fun type_of s = (case AList.lookup op = frees s of
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   741
      NONE => error ("No such variable: " ^ s) | SOME T => T);
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   742
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   743
    val params = map
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   744
      (fn (s, SOME T) => Free (s, T) | (s, NONE) => Free (s, type_of s)) pnames;
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   745
    val cs = map
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   746
      (fn (s, SOME T, _) => Free (s, T) | (s, NONE, _) => Free (s, type_of s)) cnames_syn;
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   747
    val cnames_syn' = map (fn (s, _, mx) => (s, mx)) cnames_syn;
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   748
    val cnames = map (Sign.full_name thy o #1) cnames_syn;
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   749
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   750
    fun close_rule (x, r) = (x, list_all_free (rev (fold_aterms
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   751
      (fn t as Free (v as (s, _)) =>
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   752
            if Variable.is_fixed ctxt s orelse member op = cs t orelse
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   753
              member op = params t then I else insert op = v
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   754
        | _ => I) r []), r));
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   755
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   756
    val intros = map (close_rule o check_rule thy cs params) pre_intros;
8401
50d5f4402305 more robust case names of induct;
wenzelm
parents: 8380
diff changeset
   757
    val induct_cases = map (#1 o #1) intros;
6437
9bdfe07ba8e9 'HOL/inductive' theory data;
wenzelm
parents: 6430
diff changeset
   758
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   759
    val (ctxt1, rec_name, result as {elims, induct, ...}) =
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   760
      add_ind_def verbose alt_name coind no_elim no_ind cs intros monos
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   761
        params cnames_syn' induct_cases ctxt;
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   762
    val ctxt2 = ctxt1
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   763
      |> LocalTheory.declaration
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   764
        (put_inductives cnames ({names = cnames, coind = coind}, result))
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   765
      |> add_cases_induct no_elim no_ind coind rec_name cnames elims induct;
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   766
  in (ctxt2, result) end;
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   767
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   768
fun add_inductive verbose coind cnames_syn pnames_syn intro_srcs raw_monos ctxt =
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   769
  let
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   770
    val (_, ctxt') = Specification.read_specification (cnames_syn @ pnames_syn) [] ctxt;
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   771
    val intrs = map (fn spec => apsnd hd (hd (snd (fst
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   772
      (Specification.read_specification [] [apsnd single spec] ctxt'))))) intro_srcs;
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   773
    val pnames = map (fn (s, _, _) =>
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   774
      (s, SOME (ProofContext.infer_type ctxt' s))) pnames_syn;
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   775
    val cnames_syn' = map (fn (s, _, mx) =>
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   776
      (s, SOME (ProofContext.infer_type ctxt' s), mx)) cnames_syn;
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   777
    val (monos, ctxt'') = LocalTheory.theory_result (IsarThy.apply_theorems raw_monos) ctxt;
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   778
  in
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   779
    add_inductive_i verbose "" coind false false cnames_syn' pnames intrs monos ctxt''
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   780
  end;
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   781
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   782
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   783
6437
9bdfe07ba8e9 'HOL/inductive' theory data;
wenzelm
parents: 6430
diff changeset
   784
(** package setup **)
9bdfe07ba8e9 'HOL/inductive' theory data;
wenzelm
parents: 6430
diff changeset
   785
9bdfe07ba8e9 'HOL/inductive' theory data;
wenzelm
parents: 6430
diff changeset
   786
(* setup theory *)
9bdfe07ba8e9 'HOL/inductive' theory data;
wenzelm
parents: 6430
diff changeset
   787
8634
3f34637cb9c0 use Attrib.add_del_args;
wenzelm
parents: 8433
diff changeset
   788
val setup =
18708
4b3dadb4fe33 setup: theory -> theory;
wenzelm
parents: 18678
diff changeset
   789
  InductiveData.init #>
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   790
  Method.add_methods [("ind_cases2", mk_cases_meth oo mk_cases_args,
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   791
    "dynamic case analysis on predicates")] #>
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   792
  Attrib.add_attributes [("mono2", Attrib.add_del_args mono_add mono_del,
18728
6790126ab5f6 simplified type attribute;
wenzelm
parents: 18708
diff changeset
   793
    "declaration of monotonicity rule")];
6437
9bdfe07ba8e9 'HOL/inductive' theory data;
wenzelm
parents: 6430
diff changeset
   794
9bdfe07ba8e9 'HOL/inductive' theory data;
wenzelm
parents: 6430
diff changeset
   795
9bdfe07ba8e9 'HOL/inductive' theory data;
wenzelm
parents: 6430
diff changeset
   796
(* outer syntax *)
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   797
17057
0934ac31985f OuterKeyword;
wenzelm
parents: 17010
diff changeset
   798
local structure P = OuterParse and K = OuterKeyword in
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   799
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   800
fun mk_ind coind ((((loc, preds), params), intrs), monos) =
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   801
  Toplevel.local_theory loc
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   802
    (#1 o add_inductive true coind preds params intrs monos);
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   803
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   804
fun ind_decl coind =
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   805
  P.opt_locale_target --
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   806
  P.fixes -- Scan.optional (P.$$$ "for" |-- P.fixes) [] --
9598
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   807
  (P.$$$ "intros" |--
18787
5784fe1b5657 Inductive sets with no introduction rules are now allowed as well.
berghofe
parents: 18728
diff changeset
   808
    P.!!! (Scan.repeat (P.opt_thm_name ":" -- P.prop))) --
12876
a70df1e5bf10 got rid of explicit marginal comments (now stripped earlier from input);
wenzelm
parents: 12798
diff changeset
   809
  Scan.optional (P.$$$ "monos" |-- P.!!! P.xthms1) []
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   810
  >> mk_ind coind;
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   811
6723
f342449d73ca outer syntax keyword classification;
wenzelm
parents: 6556
diff changeset
   812
val inductiveP =
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   813
  OuterSyntax.command "inductive2" "define inductive predicates" K.thy_decl (ind_decl false);
6723
f342449d73ca outer syntax keyword classification;
wenzelm
parents: 6556
diff changeset
   814
f342449d73ca outer syntax keyword classification;
wenzelm
parents: 6556
diff changeset
   815
val coinductiveP =
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   816
  OuterSyntax.command "coinductive2" "define coinductive predicates" K.thy_decl (ind_decl true);
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   817
7107
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   818
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   819
val ind_cases =
12876
a70df1e5bf10 got rid of explicit marginal comments (now stripped earlier from input);
wenzelm
parents: 12798
diff changeset
   820
  P.and_list1 (P.opt_thm_name ":" -- Scan.repeat1 P.prop)
7107
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   821
  >> (Toplevel.theory o inductive_cases);
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   822
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   823
val inductive_casesP =
21024
63ab84bb64d1 Completely rewrote inductive definition package. Now allows to
berghofe
parents: 20901
diff changeset
   824
  OuterSyntax.command "inductive_cases2"
9598
65ee72db0236 raplaced "intrs" by "intrs" (new-style only);
wenzelm
parents: 9562
diff changeset
   825
    "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
   826
12180
91c9f661b183 inductive: removed con_defs;
wenzelm
parents: 12172
diff changeset
   827
val _ = OuterSyntax.add_keywords ["intros", "monos"];
7107
ce69de572bca inductive_cases(_i): Isar interface to mk_cases;
wenzelm
parents: 7020
diff changeset
   828
val _ = OuterSyntax.add_parsers [inductiveP, coinductiveP, inductive_casesP];
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   829
5094
ddcc3c114a0e New inductive definition package
berghofe
parents:
diff changeset
   830
end;
6424
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   831
ceab9e663e08 tuned comments;
wenzelm
parents: 6394
diff changeset
   832
end;
15705
b5edb9dcec9a *** MESSAGE REFERS TO PREVIOUS VERSION ***
wenzelm
parents: 15703
diff changeset
   833