src/HOL/BNF/Tools/bnf_fp_rec_sugar.ML
author traytel
Thu, 19 Sep 2013 17:38:03 +0200
changeset 53736 82799e03fff7
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child 53743 87585d506db4
permissions -rw-r--r--
don't declare ctr view primcorec theorems as simp (they loop)
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(*  Title:      HOL/BNF/Tools/bnf_fp_rec_sugar.ML
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    Author:     Lorenz Panny, TU Muenchen
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    Copyright   2013
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Recursor and corecursor sugar.
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*)
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signature BNF_FP_REC_SUGAR =
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sig
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  val add_primrec_cmd: (binding * string option * mixfix) list ->
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    (Attrib.binding * string) list -> local_theory -> local_theory;
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  val add_primcorec_cmd: bool ->
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    (binding * string option * mixfix) list * (Attrib.binding * string) list -> Proof.context ->
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    Proof.state
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end;
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structure BNF_FP_Rec_Sugar : BNF_FP_REC_SUGAR =
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struct
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open BNF_Util
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open BNF_FP_Util
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open BNF_FP_Rec_Sugar_Util
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open BNF_FP_Rec_Sugar_Tactics
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exception Primrec_Error of string * term list;
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fun primrec_error str = raise Primrec_Error (str, []);
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fun primrec_error_eqn str eqn = raise Primrec_Error (str, [eqn]);
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fun primrec_error_eqns str eqns = raise Primrec_Error (str, eqns);
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fun finds eq = fold_map (fn x => List.partition (curry eq x) #>> pair x);
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val free_name = try (fn Free (v, _) => v);
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val const_name = try (fn Const (v, _) => v);
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val undef_const = Const (@{const_name undefined}, dummyT);
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fun permute_args n t = list_comb (t, map Bound (0 :: (n downto 1)))
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  |> fold (K (Term.abs (Name.uu, dummyT))) (0 upto n);
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val abs_tuple = HOLogic.tupled_lambda o HOLogic.mk_tuple;
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fun drop_All t = subst_bounds (strip_qnt_vars @{const_name all} t |> map Free |> rev,
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  strip_qnt_body @{const_name all} t)
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fun mk_not @{const True} = @{const False}
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  | mk_not @{const False} = @{const True}
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  | mk_not (@{const Not} $ t) = t
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  | mk_not (@{const Trueprop} $ t) = @{const Trueprop} $ mk_not t
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  | mk_not t = HOLogic.mk_not t
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val mk_conjs = try (foldr1 HOLogic.mk_conj) #> the_default @{const True};
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val mk_disjs = try (foldr1 HOLogic.mk_disj) #> the_default @{const False};
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fun invert_prems [t] = map mk_not (HOLogic.disjuncts t)
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  | invert_prems ts = [mk_disjs (map mk_not ts)];
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fun invert_prems_disj [t] = map mk_not (HOLogic.disjuncts t)
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  | invert_prems_disj ts = [mk_disjs (map (mk_conjs o map mk_not o HOLogic.disjuncts) ts)];
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fun abstract vs =
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  let fun a n (t $ u) = a n t $ a n u
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        | a n (Abs (v, T, b)) = Abs (v, T, a (n + 1) b)
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        | a n t = let val idx = find_index (equal t) vs in
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            if idx < 0 then t else Bound (n + idx) end
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  in a 0 end;
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fun mk_prod1 Ts (t, u) = HOLogic.pair_const (fastype_of1 (Ts, t)) (fastype_of1 (Ts, u)) $ t $ u;
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fun mk_tuple1 Ts = the_default HOLogic.unit o try (foldr1 (mk_prod1 Ts));
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val simp_attrs = @{attributes [simp]};
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(* Primrec *)
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type eqn_data = {
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  fun_name: string,
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  rec_type: typ,
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  ctr: term,
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  ctr_args: term list,
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  left_args: term list,
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  right_args: term list,
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  res_type: typ,
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  rhs_term: term,
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  user_eqn: term
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};
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fun dissect_eqn lthy fun_names eqn' =
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  let
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    val eqn = drop_All eqn' |> HOLogic.dest_Trueprop
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      handle TERM _ =>
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        primrec_error_eqn "malformed function equation (expected \"lhs = rhs\")" eqn';
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    val (lhs, rhs) = HOLogic.dest_eq eqn
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        handle TERM _ =>
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          primrec_error_eqn "malformed function equation (expected \"lhs = rhs\")" eqn';
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    val (fun_name, args) = strip_comb lhs
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      |>> (fn x => if is_Free x then fst (dest_Free x)
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          else primrec_error_eqn "malformed function equation (does not start with free)" eqn);
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    val (left_args, rest) = take_prefix is_Free args;
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    val (nonfrees, right_args) = take_suffix is_Free rest;
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    val _ = length nonfrees = 1 orelse if length nonfrees = 0 then
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      primrec_error_eqn "constructor pattern missing in left-hand side" eqn else
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      primrec_error_eqn "more than one non-variable argument in left-hand side" eqn;
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    val _ = member (op =) fun_names fun_name orelse
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      primrec_error_eqn "malformed function equation (does not start with function name)" eqn
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    val (ctr, ctr_args) = strip_comb (the_single nonfrees);
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    val _ = try (num_binder_types o fastype_of) ctr = SOME (length ctr_args) orelse
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      primrec_error_eqn "partially applied constructor in pattern" eqn;
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    val _ = let val d = duplicates (op =) (left_args @ ctr_args @ right_args) in null d orelse
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      primrec_error_eqn ("duplicate variable \"" ^ Syntax.string_of_term lthy (hd d) ^
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        "\" in left-hand side") eqn end;
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    val _ = forall is_Free ctr_args orelse
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      primrec_error_eqn "non-primitive pattern in left-hand side" eqn;
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    val _ =
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      let val b = fold_aterms (fn x as Free (v, _) =>
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        if (not (member (op =) (left_args @ ctr_args @ right_args) x) andalso
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        not (member (op =) fun_names v) andalso
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        not (Variable.is_fixed lthy v)) then cons x else I | _ => I) rhs []
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      in
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        null b orelse
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        primrec_error_eqn ("extra variable(s) in right-hand side: " ^
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          commas (map (Syntax.string_of_term lthy) b)) eqn
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      end;
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  in
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    {fun_name = fun_name,
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     rec_type = body_type (type_of ctr),
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     ctr = ctr,
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     ctr_args = ctr_args,
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     left_args = left_args,
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     right_args = right_args,
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     res_type = map fastype_of (left_args @ right_args) ---> fastype_of rhs,
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     rhs_term = rhs,
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     user_eqn = eqn'}
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  end;
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fun rewrite_map_arg get_ctr_pos rec_type res_type =
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  let
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    val pT = HOLogic.mk_prodT (rec_type, res_type);
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    val maybe_suc = Option.map (fn x => x + 1);
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    fun subst d (t as Bound d') = t |> d = SOME d' ? curry (op $) (fst_const pT)
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      | subst d (Abs (v, T, b)) = Abs (v, if d = SOME ~1 then pT else T, subst (maybe_suc d) b)
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      | subst d t =
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        let
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          val (u, vs) = strip_comb t;
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          val ctr_pos = try (get_ctr_pos o the) (free_name u) |> the_default ~1;
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        in
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          if ctr_pos >= 0 then
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            if d = SOME ~1 andalso length vs = ctr_pos then
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              list_comb (permute_args ctr_pos (snd_const pT), vs)
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            else if length vs > ctr_pos andalso is_some d
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                andalso d = try (fn Bound n => n) (nth vs ctr_pos) then
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              list_comb (snd_const pT $ nth vs ctr_pos, map (subst d) (nth_drop ctr_pos vs))
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            else
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              primrec_error_eqn ("recursive call not directly applied to constructor argument") t
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          else if d = SOME ~1 andalso const_name u = SOME @{const_name comp} then
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            list_comb (map_types (K dummyT) u, map2 subst [NONE, d] vs)
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          else
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            list_comb (u, map (subst (d |> d = SOME ~1 ? K NONE)) vs)
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        end
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  in
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    subst (SOME ~1)
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  end;
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fun subst_rec_calls lthy get_ctr_pos has_call ctr_args direct_calls indirect_calls t =
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  let
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    fun subst bound_Ts (Abs (v, T, b)) = Abs (v, T, subst (T :: bound_Ts) b)
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      | subst bound_Ts (t as g' $ y) =
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        let
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          val maybe_direct_y' = AList.lookup (op =) direct_calls y;
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          val maybe_indirect_y' = AList.lookup (op =) indirect_calls y;
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          val (g, g_args) = strip_comb g';
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          val ctr_pos = try (get_ctr_pos o the) (free_name g) |> the_default ~1;
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          val _ = ctr_pos < 0 orelse length g_args >= ctr_pos orelse
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            primrec_error_eqn "too few arguments in recursive call" t;
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        in
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          if not (member (op =) ctr_args y) then
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            pairself (subst bound_Ts) (g', y) |> (op $)
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          else if ctr_pos >= 0 then
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            list_comb (the maybe_direct_y', g_args)
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          else if is_some maybe_indirect_y' then
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            (if has_call g' then t else y)
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            |> massage_indirect_rec_call lthy has_call
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              (rewrite_map_arg get_ctr_pos) bound_Ts y (the maybe_indirect_y')
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            |> (if has_call g' then I else curry (op $) g')
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          else
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            t
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        end
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      | subst _ t = t
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  in
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    subst [] t
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    |> tap (fn u => has_call u andalso (* FIXME detect this case earlier *)
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      primrec_error_eqn "recursive call not directly applied to constructor argument" t)
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  end;
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fun build_rec_arg lthy funs_data has_call ctr_spec maybe_eqn_data =
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  if is_none maybe_eqn_data then undef_const else
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    let
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      val eqn_data = the maybe_eqn_data;
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      val t = #rhs_term eqn_data;
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      val ctr_args = #ctr_args eqn_data;
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      val calls = #calls ctr_spec;
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      val n_args = fold (curry (op +) o (fn Direct_Rec _ => 2 | _ => 1)) calls 0;
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      val no_calls' = tag_list 0 calls
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        |> map_filter (try (apsnd (fn No_Rec n => n | Direct_Rec (n, _) => n)));
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      val direct_calls' = tag_list 0 calls
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        |> map_filter (try (apsnd (fn Direct_Rec (_, n) => n)));
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      val indirect_calls' = tag_list 0 calls
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        |> map_filter (try (apsnd (fn Indirect_Rec n => n)));
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      fun make_direct_type T = dummyT; (* FIXME? *)
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      val rec_res_type_list = map (fn (x :: _) => (#rec_type x, #res_type x)) funs_data;
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      fun make_indirect_type (Type (Tname, Ts)) = Type (Tname, Ts |> map (fn T =>
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        let val maybe_res_type = AList.lookup (op =) rec_res_type_list T in
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          if is_some maybe_res_type
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          then HOLogic.mk_prodT (T, the maybe_res_type)
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          else make_indirect_type T end))
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        | make_indirect_type T = T;
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      val args = replicate n_args ("", dummyT)
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        |> Term.rename_wrt_term t
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        |> map Free
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        |> fold (fn (ctr_arg_idx, arg_idx) =>
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            nth_map arg_idx (K (nth ctr_args ctr_arg_idx)))
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          no_calls'
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        |> fold (fn (ctr_arg_idx, arg_idx) =>
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            nth_map arg_idx (K (nth ctr_args ctr_arg_idx |> map_types make_direct_type)))
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          direct_calls'
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        |> fold (fn (ctr_arg_idx, arg_idx) =>
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            nth_map arg_idx (K (nth ctr_args ctr_arg_idx |> map_types make_indirect_type)))
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          indirect_calls';
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      val fun_name_ctr_pos_list =
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        map (fn (x :: _) => (#fun_name x, length (#left_args x))) funs_data;
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      val get_ctr_pos = try (the o AList.lookup (op =) fun_name_ctr_pos_list) #> the_default ~1;
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      val direct_calls = map (apfst (nth ctr_args) o apsnd (nth args)) direct_calls';
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      val indirect_calls = map (apfst (nth ctr_args) o apsnd (nth args)) indirect_calls';
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      val abstractions = args @ #left_args eqn_data @ #right_args eqn_data;
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    in
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      t
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      |> subst_rec_calls lthy get_ctr_pos has_call ctr_args direct_calls indirect_calls
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      |> fold_rev lambda abstractions
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    end;
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fun build_defs lthy bs mxs funs_data rec_specs has_call =
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  let
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    val n_funs = length funs_data;
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    val ctr_spec_eqn_data_list' =
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      (take n_funs rec_specs |> map #ctr_specs) ~~ funs_data
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      |> maps (uncurry (finds (fn (x, y) => #ctr x = #ctr y))
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          ##> (fn x => null x orelse
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            primrec_error_eqns "excess equations in definition" (map #rhs_term x)) #> fst);
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    val _ = ctr_spec_eqn_data_list' |> map (fn (_, x) => length x <= 1 orelse
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      primrec_error_eqns ("multiple equations for constructor") (map #user_eqn x));
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    val ctr_spec_eqn_data_list =
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      ctr_spec_eqn_data_list' @ (drop n_funs rec_specs |> maps #ctr_specs |> map (rpair []));
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    val recs = take n_funs rec_specs |> map #recx;
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    val rec_args = ctr_spec_eqn_data_list
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      |> sort ((op <) o pairself (#offset o fst) |> make_ord)
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      |> map (uncurry (build_rec_arg lthy funs_data has_call) o apsnd (try the_single));
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    val ctr_poss = map (fn x =>
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      if length (distinct ((op =) o pairself (length o #left_args)) x) <> 1 then
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        primrec_error ("inconstant constructor pattern position for function " ^
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          quote (#fun_name (hd x)))
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      else
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        hd x |> #left_args |> length) funs_data;
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  in
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    (recs, ctr_poss)
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    |-> map2 (fn recx => fn ctr_pos => list_comb (recx, rec_args) |> permute_args ctr_pos)
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    |> Syntax.check_terms lthy
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    |> map3 (fn b => fn mx => fn t => ((b, mx), ((Binding.map_name Thm.def_name b, []), t))) bs mxs
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  end;
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fun find_rec_calls has_call eqn_data =
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  let
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    fun find (Abs (_, _, b)) ctr_arg = find b ctr_arg
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      | find (t as _ $ _) ctr_arg =
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        let
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          val (f', args') = strip_comb t;
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          val n = find_index (equal ctr_arg) args';
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        in
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          if n < 0 then
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            find f' ctr_arg @ maps (fn x => find x ctr_arg) args'
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          else
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            let val (f, args) = chop n args' |>> curry list_comb f' in
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              if has_call f then
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                f :: maps (fn x => find x ctr_arg) args
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              else
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                find f ctr_arg @ maps (fn x => find x ctr_arg) args
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            end
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        end
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      | find _ _ = [];
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  in
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    map (find (#rhs_term eqn_data)) (#ctr_args eqn_data)
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    |> (fn [] => NONE | callss => SOME (#ctr eqn_data, callss))
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  end;
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fun add_primrec fixes specs lthy =
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  let
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    val (bs, mxs) = map_split (apfst fst) fixes;
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    val fun_names = map Binding.name_of bs;
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    val eqns_data = map (snd #> dissect_eqn lthy fun_names) specs;
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    val funs_data = eqns_data
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      |> partition_eq ((op =) o pairself #fun_name)
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      |> finds (fn (x, y) => x = #fun_name (hd y)) fun_names |> fst
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      |> map (fn (x, y) => the_single y handle List.Empty =>
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          primrec_error ("missing equations for function " ^ quote x));
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    val has_call = exists_subterm (map (fst #>> Binding.name_of #> Free) fixes |> member (op =));
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    val arg_Ts = map (#rec_type o hd) funs_data;
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    val res_Ts = map (#res_type o hd) funs_data;
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    val callssss = funs_data
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      |> map (partition_eq ((op =) o pairself #ctr))
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      |> map (maps (map_filter (find_rec_calls has_call)));
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    fun get_indices t = map (fst #>> Binding.name_of #> Free) fixes
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      |> map_index (fn (i, v) => if exists_subterm (equal v) t then SOME i else NONE)
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      |> map_filter I;
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    val ((nontriv, rec_specs, _, induct_thm, induct_thms), lthy') =
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      rec_specs_of bs arg_Ts res_Ts get_indices callssss lthy;
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    val actual_nn = length funs_data;
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    val _ = let val ctrs = (maps (map #ctr o #ctr_specs) rec_specs) in
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      map (fn {ctr, user_eqn, ...} => member (op =) ctrs ctr orelse
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        primrec_error_eqn ("argument " ^ quote (Syntax.string_of_term lthy' ctr) ^
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          " is not a constructor in left-hand side") user_eqn) eqns_data end;
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    val defs = build_defs lthy' bs mxs funs_data rec_specs has_call;
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    fun prove def_thms' {ctr_specs, nested_map_idents, nested_map_comps, ...} induct_thm fun_data
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        lthy =
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      let
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        val fun_name = #fun_name (hd fun_data);
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        val def_thms = map (snd o snd) def_thms';
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        val simp_thms = finds (fn (x, y) => #ctr x = #ctr y) fun_data ctr_specs
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          |> fst
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          |> map_filter (try (fn (x, [y]) =>
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            (#user_eqn x, length (#left_args x) + length (#right_args x), #rec_thm y)))
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          |> map (fn (user_eqn, num_extra_args, rec_thm) =>
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            mk_primrec_tac lthy num_extra_args nested_map_idents nested_map_comps def_thms rec_thm
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            |> K |> Goal.prove lthy [] [] user_eqn)
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        val notes =
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          [(inductN, if actual_nn > 1 then [induct_thm] else [], []),
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           (simpsN, simp_thms, simp_attrs)]
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          |> filter_out (null o #2)
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          |> map (fn (thmN, thms, attrs) =>
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            ((Binding.qualify true fun_name (Binding.name thmN), attrs), [(thms, [])]));
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      in
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        lthy |> Local_Theory.notes notes
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      end;
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    val common_name = mk_common_name fun_names;
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    val common_notes =
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      [(inductN, if nontriv andalso actual_nn > 1 then [induct_thm] else [], [])]
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      |> filter_out (null o #2)
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      |> map (fn (thmN, thms, attrs) =>
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        ((Binding.qualify true common_name (Binding.name thmN), attrs), [(thms, [])]));
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  in
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    lthy'
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    |> fold_map Local_Theory.define defs
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    |-> snd oo (fn def_thms' => fold_map3 (prove def_thms') (take actual_nn rec_specs)
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      (take actual_nn induct_thms) funs_data)
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    |> snd o Local_Theory.notes common_notes
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   367
  end;
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diff changeset
   368
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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   369
fun add_primrec_cmd raw_fixes raw_specs lthy =
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  let
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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   371
    val _ = let val d = duplicates (op =) (map (Binding.name_of o #1) raw_fixes) in null d orelse
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   372
      primrec_error ("duplicate function name(s): " ^ commas d) end;
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   373
    val (fixes, specs) = fst (Specification.read_spec raw_fixes raw_specs lthy);
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diff changeset
   374
  in
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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diff changeset
   375
    add_primrec fixes specs lthy
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   376
      handle ERROR str => primrec_error str
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   377
  end
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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   378
  handle Primrec_Error (str, eqns) =>
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diff changeset
   379
    if null eqns
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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diff changeset
   380
    then error ("primrec_new error:\n  " ^ str)
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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diff changeset
   381
    else error ("primrec_new error:\n  " ^ str ^ "\nin\n  " ^
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diff changeset
   382
      space_implode "\n  " (map (quote o Syntax.string_of_term lthy) eqns))
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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diff changeset
   383
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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diff changeset
   384
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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diff changeset
   385
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   386
(* Primcorec *)
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diff changeset
   387
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   388
type co_eqn_data_disc = {
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   389
  fun_name: string,
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   390
  fun_T: typ,
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2101a97e6220 various refactoring;
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   391
  fun_args: term list,
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   392
  ctr: term,
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   393
  ctr_no: int, (*###*)
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   394
  disc: term,
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   395
  prems: term list,
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diff changeset
   396
  user_eqn: term
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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diff changeset
   397
};
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   398
type co_eqn_data_sel = {
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diff changeset
   399
  fun_name: string,
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diff changeset
   400
  fun_T: typ,
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2101a97e6220 various refactoring;
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diff changeset
   401
  fun_args: term list,
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diff changeset
   402
  ctr: term,
63015d035301 handle selector formulae with no corecursive calls
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diff changeset
   403
  sel: term,
53303
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diff changeset
   404
  rhs_term: term,
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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parents:
diff changeset
   405
  user_eqn: term
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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diff changeset
   406
};
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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parents:
diff changeset
   407
datatype co_eqn_data =
53341
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   408
  Disc of co_eqn_data_disc |
63015d035301 handle selector formulae with no corecursive calls
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   409
  Sel of co_eqn_data_sel;
53303
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parents:
diff changeset
   410
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   411
fun co_dissect_eqn_disc sequential fun_names corec_specs prems' concl matchedsss =
53303
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diff changeset
   412
  let
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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diff changeset
   413
    fun find_subterm p = let (* FIXME \<exists>? *)
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2101a97e6220 various refactoring;
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diff changeset
   414
      fun f (t as u $ v) = if p t then SOME t else merge_options (f u, f v)
53303
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diff changeset
   415
        | f t = if p t then SOME t else NONE
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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diff changeset
   416
      in f end;
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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diff changeset
   417
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   418
    val applied_fun = concl
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diff changeset
   419
      |> find_subterm (member ((op =) o apsnd SOME) fun_names o try (fst o dest_Free o head_of))
8b9ea4420f81 prove simp theorems for newly generated definitions
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diff changeset
   420
      |> the
8b9ea4420f81 prove simp theorems for newly generated definitions
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diff changeset
   421
      handle Option.Option => primrec_error_eqn "malformed discriminator equation" concl;
53720
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diff changeset
   422
    val ((fun_name, fun_T), fun_args) = strip_comb applied_fun |>> dest_Free;
03fac7082137 generate constructor view theorems
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   423
    val {ctr_specs, ...} = the (AList.lookup (op =) (fun_names ~~ corec_specs) fun_name);
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diff changeset
   424
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diff changeset
   425
    val discs = map #disc ctr_specs;
03fac7082137 generate constructor view theorems
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diff changeset
   426
    val ctrs = map #ctr ctr_specs;
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
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diff changeset
   427
    val not_disc = head_of concl = @{term Not};
53401
2101a97e6220 various refactoring;
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diff changeset
   428
    val _ = not_disc andalso length ctrs <> 2 andalso
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
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diff changeset
   429
      primrec_error_eqn "\<not>ed discriminator for a type with \<noteq> 2 constructors" concl;
8b9ea4420f81 prove simp theorems for newly generated definitions
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diff changeset
   430
    val disc = find_subterm (member (op =) discs o head_of) concl;
8b9ea4420f81 prove simp theorems for newly generated definitions
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diff changeset
   431
    val eq_ctr0 = concl |> perhaps (try (HOLogic.dest_not)) |> try (HOLogic.dest_eq #> snd)
53303
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diff changeset
   432
        |> (fn SOME t => let val n = find_index (equal t) ctrs in
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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parents:
diff changeset
   433
          if n >= 0 then SOME n else NONE end | _ => NONE);
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   434
    val _ = is_some disc orelse is_some eq_ctr0 orelse
53654
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diff changeset
   435
      primrec_error_eqn "no discriminator in equation" concl;
53303
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diff changeset
   436
    val ctr_no' =
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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parents:
diff changeset
   437
      if is_none disc then the eq_ctr0 else find_index (equal (head_of (the disc))) discs;
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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parents:
diff changeset
   438
    val ctr_no = if not_disc then 1 - ctr_no' else ctr_no';
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03fac7082137 generate constructor view theorems
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diff changeset
   439
    val ctr = #ctr (nth ctr_specs ctr_no);
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
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diff changeset
   440
8b9ea4420f81 prove simp theorems for newly generated definitions
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diff changeset
   441
    val catch_all = try (fst o dest_Free o the_single) prems' = SOME Name.uu_;
53720
03fac7082137 generate constructor view theorems
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diff changeset
   442
    val matchedss = AList.lookup (op =) matchedsss fun_name |> the_default [];
03fac7082137 generate constructor view theorems
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diff changeset
   443
    val prems = map (abstract (List.rev fun_args)) prems';
03fac7082137 generate constructor view theorems
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diff changeset
   444
    val real_prems =
03fac7082137 generate constructor view theorems
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parents: 53699
diff changeset
   445
      (if catch_all orelse sequential then maps invert_prems_disj matchedss else []) @
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
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diff changeset
   446
      (if catch_all then [] else prems);
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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diff changeset
   447
53720
03fac7082137 generate constructor view theorems
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diff changeset
   448
    val matchedsss' = AList.delete (op =) fun_name matchedsss
03fac7082137 generate constructor view theorems
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diff changeset
   449
      |> cons (fun_name, if sequential then matchedss @ [prems] else matchedss @ [real_prems]);
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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diff changeset
   450
53654
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diff changeset
   451
    val user_eqn =
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03fac7082137 generate constructor view theorems
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diff changeset
   452
      (real_prems, betapply (#disc (nth ctr_specs ctr_no), applied_fun))
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
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diff changeset
   453
      |>> map HOLogic.mk_Trueprop ||> HOLogic.mk_Trueprop
8b9ea4420f81 prove simp theorems for newly generated definitions
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diff changeset
   454
      |> Logic.list_implies;
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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diff changeset
   455
  in
53341
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diff changeset
   456
    (Disc {
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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parents:
diff changeset
   457
      fun_name = fun_name,
53720
03fac7082137 generate constructor view theorems
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parents: 53699
diff changeset
   458
      fun_T = fun_T,
53401
2101a97e6220 various refactoring;
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diff changeset
   459
      fun_args = fun_args,
53720
03fac7082137 generate constructor view theorems
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diff changeset
   460
      ctr = ctr,
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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diff changeset
   461
      ctr_no = ctr_no,
53720
03fac7082137 generate constructor view theorems
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diff changeset
   462
      disc = #disc (nth ctr_specs ctr_no),
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
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diff changeset
   463
      prems = real_prems,
8b9ea4420f81 prove simp theorems for newly generated definitions
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diff changeset
   464
      user_eqn = user_eqn
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03fac7082137 generate constructor view theorems
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diff changeset
   465
    }, matchedsss')
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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diff changeset
   466
  end;
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
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diff changeset
   467
53654
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diff changeset
   468
fun co_dissect_eqn_sel fun_names corec_specs eqn' eqn =
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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diff changeset
   469
  let
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   470
    val (lhs, rhs) = HOLogic.dest_eq eqn
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   471
      handle TERM _ =>
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   472
        primrec_error_eqn "malformed function equation (expected \"lhs = rhs\")" eqn;
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   473
    val sel = head_of lhs;
53720
03fac7082137 generate constructor view theorems
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parents: 53699
diff changeset
   474
    val ((fun_name, fun_T), fun_args) = dest_comb lhs |> snd |> strip_comb |> apfst dest_Free
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   475
      handle TERM _ =>
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   476
        primrec_error_eqn "malformed selector argument in left-hand side" eqn;
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
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diff changeset
   477
    val corec_spec = the (AList.lookup (op =) (fun_names ~~ corec_specs) fun_name)
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   478
      handle Option.Option => primrec_error_eqn "malformed selector argument in left-hand side" eqn;
53341
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diff changeset
   479
    val (ctr_spec, sel) = #ctr_specs corec_spec
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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parents:
diff changeset
   480
      |> the o get_index (try (the o find_first (equal sel) o #sels))
53341
63015d035301 handle selector formulae with no corecursive calls
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diff changeset
   481
      |>> nth (#ctr_specs corec_spec);
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
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diff changeset
   482
    val user_eqn = drop_All eqn';
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   483
  in
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diff changeset
   484
    Sel {
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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parents:
diff changeset
   485
      fun_name = fun_name,
53720
03fac7082137 generate constructor view theorems
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parents: 53699
diff changeset
   486
      fun_T = fun_T,
53401
2101a97e6220 various refactoring;
panny
parents: 53360
diff changeset
   487
      fun_args = fun_args,
53341
63015d035301 handle selector formulae with no corecursive calls
panny
parents: 53335
diff changeset
   488
      ctr = #ctr ctr_spec,
63015d035301 handle selector formulae with no corecursive calls
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parents: 53335
diff changeset
   489
      sel = sel,
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   490
      rhs_term = rhs,
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
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parents: 53411
diff changeset
   491
      user_eqn = user_eqn
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
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diff changeset
   492
    }
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   493
  end;
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   494
53720
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diff changeset
   495
fun co_dissect_eqn_ctr sequential fun_names corec_specs eqn' imp_prems imp_rhs matchedsss =
53303
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diff changeset
   496
  let 
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   497
    val (lhs, rhs) = HOLogic.dest_eq imp_rhs;
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   498
    val fun_name = head_of lhs |> fst o dest_Free;
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   499
    val {ctr_specs, ...} = the (AList.lookup (op =) (fun_names ~~ corec_specs) fun_name);
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   500
    val (ctr, ctr_args) = strip_comb rhs;
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   501
    val {disc, sels, ...} = the (find_first (equal ctr o #ctr) ctr_specs)
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   502
      handle Option.Option => primrec_error_eqn "not a constructor" ctr;
53341
63015d035301 handle selector formulae with no corecursive calls
panny
parents: 53335
diff changeset
   503
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   504
    val disc_imp_rhs = betapply (disc, lhs);
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   505
    val (maybe_eqn_data_disc, matchedsss') = if length ctr_specs = 1
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   506
      then (NONE, matchedsss)
53341
63015d035301 handle selector formulae with no corecursive calls
panny
parents: 53335
diff changeset
   507
      else apfst SOME (co_dissect_eqn_disc
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   508
          sequential fun_names corec_specs imp_prems disc_imp_rhs matchedsss);
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   509
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   510
    val sel_imp_rhss = (sels ~~ ctr_args)
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   511
      |> map (fn (sel, ctr_arg) => HOLogic.mk_eq (betapply (sel, lhs), ctr_arg));
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   512
53360
7ffc4a746a73 handle direct corecursion
panny
parents: 53358
diff changeset
   513
val _ = tracing ("reduced\n    " ^ Syntax.string_of_term @{context} imp_rhs ^ "\nto\n    \<cdot> " ^
53341
63015d035301 handle selector formulae with no corecursive calls
panny
parents: 53335
diff changeset
   514
 (is_some maybe_eqn_data_disc ? K (Syntax.string_of_term @{context} disc_imp_rhs ^ "\n    \<cdot> ")) "" ^
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   515
 space_implode "\n    \<cdot> " (map (Syntax.string_of_term @{context}) sel_imp_rhss));
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   516
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   517
    val eqns_data_sel =
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   518
      map (co_dissect_eqn_sel fun_names corec_specs eqn') sel_imp_rhss;
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   519
  in
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   520
    (the_list maybe_eqn_data_disc @ eqns_data_sel, matchedsss')
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   521
  end;
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   522
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   523
fun co_dissect_eqn sequential fun_names corec_specs eqn' matchedsss =
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   524
  let
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   525
    val eqn = drop_All eqn'
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   526
      handle TERM _ => primrec_error_eqn "malformed function equation" eqn';
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   527
    val (imp_prems, imp_rhs) = Logic.strip_horn eqn
53341
63015d035301 handle selector formulae with no corecursive calls
panny
parents: 53335
diff changeset
   528
      |> apfst (map HOLogic.dest_Trueprop) o apsnd HOLogic.dest_Trueprop;
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   529
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   530
    val head = imp_rhs
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   531
      |> perhaps (try HOLogic.dest_not) |> perhaps (try (fst o HOLogic.dest_eq))
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   532
      |> head_of;
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   533
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   534
    val maybe_rhs = imp_rhs |> perhaps (try (HOLogic.dest_not)) |> try (snd o HOLogic.dest_eq);
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   535
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   536
    val discs = maps #ctr_specs corec_specs |> map #disc;
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   537
    val sels = maps #ctr_specs corec_specs |> maps #sels;
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   538
    val ctrs = maps #ctr_specs corec_specs |> map #ctr;
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   539
  in
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   540
    if member (op =) discs head orelse
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   541
      is_some maybe_rhs andalso
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   542
        member (op =) (filter (null o binder_types o fastype_of) ctrs) (the maybe_rhs) then
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   543
      co_dissect_eqn_disc sequential fun_names corec_specs imp_prems imp_rhs matchedsss
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   544
      |>> single
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   545
    else if member (op =) sels head then
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   546
      ([co_dissect_eqn_sel fun_names corec_specs eqn' imp_rhs], matchedsss)
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   547
    else if is_Free head andalso member (op =) fun_names (fst (dest_Free head)) then
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   548
      co_dissect_eqn_ctr sequential fun_names corec_specs eqn' imp_prems imp_rhs matchedsss
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   549
    else
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   550
      primrec_error_eqn "malformed function equation" eqn
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   551
  end;
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   552
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   553
fun build_corec_arg_disc ctr_specs {fun_args, ctr_no, prems, ...} =
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   554
  if is_none (#pred (nth ctr_specs ctr_no)) then I else
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   555
    mk_conjs prems
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   556
    |> curry subst_bounds (List.rev fun_args)
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   557
    |> HOLogic.tupled_lambda (HOLogic.mk_tuple fun_args)
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   558
    |> K |> nth_map (the (#pred (nth ctr_specs ctr_no)));
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   559
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   560
fun build_corec_arg_no_call sel_eqns sel =
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   561
  find_first (equal sel o #sel) sel_eqns
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   562
  |> try (fn SOME {fun_args, rhs_term, ...} => abs_tuple fun_args rhs_term)
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   563
  |> the_default undef_const
53411
ab4edf89992f support indirect corecursion
panny
parents: 53401
diff changeset
   564
  |> K;
53360
7ffc4a746a73 handle direct corecursion
panny
parents: 53358
diff changeset
   565
53735
99331dac1e1c simplified code; eliminated some dummyTs
panny
parents: 53734
diff changeset
   566
fun build_corec_args_direct_call lthy has_call sel_eqns sel =
53360
7ffc4a746a73 handle direct corecursion
panny
parents: 53358
diff changeset
   567
  let
53411
ab4edf89992f support indirect corecursion
panny
parents: 53401
diff changeset
   568
    val maybe_sel_eqn = find_first (equal sel o #sel) sel_eqns;
53735
99331dac1e1c simplified code; eliminated some dummyTs
panny
parents: 53734
diff changeset
   569
    fun rewrite_q t = if has_call t then @{term False} else @{term True};
99331dac1e1c simplified code; eliminated some dummyTs
panny
parents: 53734
diff changeset
   570
    fun rewrite_g t = if has_call t then undef_const else t;
99331dac1e1c simplified code; eliminated some dummyTs
panny
parents: 53734
diff changeset
   571
    fun rewrite_h t = if has_call t then HOLogic.mk_tuple (snd (strip_comb t)) else undef_const;
99331dac1e1c simplified code; eliminated some dummyTs
panny
parents: 53734
diff changeset
   572
    fun massage _ NONE t = t
99331dac1e1c simplified code; eliminated some dummyTs
panny
parents: 53734
diff changeset
   573
      | massage f (SOME {fun_args, rhs_term, ...}) t =
99331dac1e1c simplified code; eliminated some dummyTs
panny
parents: 53734
diff changeset
   574
        massage_direct_corec_call lthy has_call f (range_type (fastype_of t)) rhs_term
99331dac1e1c simplified code; eliminated some dummyTs
panny
parents: 53734
diff changeset
   575
        |> abs_tuple fun_args;
53360
7ffc4a746a73 handle direct corecursion
panny
parents: 53358
diff changeset
   576
  in
53735
99331dac1e1c simplified code; eliminated some dummyTs
panny
parents: 53734
diff changeset
   577
    (massage rewrite_q maybe_sel_eqn,
99331dac1e1c simplified code; eliminated some dummyTs
panny
parents: 53734
diff changeset
   578
     massage rewrite_g maybe_sel_eqn,
99331dac1e1c simplified code; eliminated some dummyTs
panny
parents: 53734
diff changeset
   579
     massage rewrite_h maybe_sel_eqn)
53360
7ffc4a746a73 handle direct corecursion
panny
parents: 53358
diff changeset
   580
  end;
7ffc4a746a73 handle direct corecursion
panny
parents: 53358
diff changeset
   581
53411
ab4edf89992f support indirect corecursion
panny
parents: 53401
diff changeset
   582
fun build_corec_arg_indirect_call lthy has_call sel_eqns sel =
ab4edf89992f support indirect corecursion
panny
parents: 53401
diff changeset
   583
  let
ab4edf89992f support indirect corecursion
panny
parents: 53401
diff changeset
   584
    val maybe_sel_eqn = find_first (equal sel o #sel) sel_eqns;
53735
99331dac1e1c simplified code; eliminated some dummyTs
panny
parents: 53734
diff changeset
   585
    fun rewrite bound_Ts U T (Abs (v, V, b)) = Abs (v, V, rewrite (V :: bound_Ts) U T b)
99331dac1e1c simplified code; eliminated some dummyTs
panny
parents: 53734
diff changeset
   586
      | rewrite bound_Ts U T (t as _ $ _) =
53734
7613573f023a avoid infinite loop for unapplied terms + tuning
blanchet
parents: 53733
diff changeset
   587
        let val (u, vs) = strip_comb t in
7613573f023a avoid infinite loop for unapplied terms + tuning
blanchet
parents: 53733
diff changeset
   588
          if is_Free u andalso has_call u then
53735
99331dac1e1c simplified code; eliminated some dummyTs
panny
parents: 53734
diff changeset
   589
            Inr_const U T $ mk_tuple1 bound_Ts vs
53734
7613573f023a avoid infinite loop for unapplied terms + tuning
blanchet
parents: 53733
diff changeset
   590
          else if try (fst o dest_Const) u = SOME @{const_name prod_case} then
53735
99331dac1e1c simplified code; eliminated some dummyTs
panny
parents: 53734
diff changeset
   591
            list_comb (map_types (K dummyT) u, map (rewrite bound_Ts U T) vs)
53734
7613573f023a avoid infinite loop for unapplied terms + tuning
blanchet
parents: 53733
diff changeset
   592
          else
53735
99331dac1e1c simplified code; eliminated some dummyTs
panny
parents: 53734
diff changeset
   593
            list_comb (rewrite bound_Ts U T u, map (rewrite bound_Ts U T) vs)
99331dac1e1c simplified code; eliminated some dummyTs
panny
parents: 53734
diff changeset
   594
        end
99331dac1e1c simplified code; eliminated some dummyTs
panny
parents: 53734
diff changeset
   595
      | rewrite _ U T t = if is_Free t andalso has_call t then Inr_const U T $ HOLogic.unit else t;
99331dac1e1c simplified code; eliminated some dummyTs
panny
parents: 53734
diff changeset
   596
    fun massage NONE t = t
99331dac1e1c simplified code; eliminated some dummyTs
panny
parents: 53734
diff changeset
   597
      | massage (SOME {fun_args, rhs_term, ...}) t =
99331dac1e1c simplified code; eliminated some dummyTs
panny
parents: 53734
diff changeset
   598
        massage_indirect_corec_call lthy has_call (rewrite []) []
99331dac1e1c simplified code; eliminated some dummyTs
panny
parents: 53734
diff changeset
   599
          (range_type (fastype_of t)) rhs_term
99331dac1e1c simplified code; eliminated some dummyTs
panny
parents: 53734
diff changeset
   600
        |> abs_tuple fun_args;
53411
ab4edf89992f support indirect corecursion
panny
parents: 53401
diff changeset
   601
  in
53735
99331dac1e1c simplified code; eliminated some dummyTs
panny
parents: 53734
diff changeset
   602
    massage maybe_sel_eqn
53411
ab4edf89992f support indirect corecursion
panny
parents: 53401
diff changeset
   603
  end;
53360
7ffc4a746a73 handle direct corecursion
panny
parents: 53358
diff changeset
   604
7ffc4a746a73 handle direct corecursion
panny
parents: 53358
diff changeset
   605
fun build_corec_args_sel lthy has_call all_sel_eqns ctr_spec =
53341
63015d035301 handle selector formulae with no corecursive calls
panny
parents: 53335
diff changeset
   606
  let val sel_eqns = filter (equal (#ctr ctr_spec) o #ctr) all_sel_eqns in
63015d035301 handle selector formulae with no corecursive calls
panny
parents: 53335
diff changeset
   607
    if null sel_eqns then I else
63015d035301 handle selector formulae with no corecursive calls
panny
parents: 53335
diff changeset
   608
      let
63015d035301 handle selector formulae with no corecursive calls
panny
parents: 53335
diff changeset
   609
        val sel_call_list = #sels ctr_spec ~~ #calls ctr_spec;
63015d035301 handle selector formulae with no corecursive calls
panny
parents: 53335
diff changeset
   610
63015d035301 handle selector formulae with no corecursive calls
panny
parents: 53335
diff changeset
   611
        val no_calls' = map_filter (try (apsnd (fn No_Corec n => n))) sel_call_list;
63015d035301 handle selector formulae with no corecursive calls
panny
parents: 53335
diff changeset
   612
        val direct_calls' = map_filter (try (apsnd (fn Direct_Corec n => n))) sel_call_list;
63015d035301 handle selector formulae with no corecursive calls
panny
parents: 53335
diff changeset
   613
        val indirect_calls' = map_filter (try (apsnd (fn Indirect_Corec n => n))) sel_call_list;
63015d035301 handle selector formulae with no corecursive calls
panny
parents: 53335
diff changeset
   614
      in
53360
7ffc4a746a73 handle direct corecursion
panny
parents: 53358
diff changeset
   615
        I
53735
99331dac1e1c simplified code; eliminated some dummyTs
panny
parents: 53734
diff changeset
   616
        #> fold (fn (sel, n) => nth_map n (build_corec_arg_no_call sel_eqns sel)) no_calls'
53360
7ffc4a746a73 handle direct corecursion
panny
parents: 53358
diff changeset
   617
        #> fold (fn (sel, (q, g, h)) =>
53735
99331dac1e1c simplified code; eliminated some dummyTs
panny
parents: 53734
diff changeset
   618
          let val (fq, fg, fh) = build_corec_args_direct_call lthy has_call sel_eqns sel in
99331dac1e1c simplified code; eliminated some dummyTs
panny
parents: 53734
diff changeset
   619
            nth_map q fq o nth_map g fg o nth_map h fh end) direct_calls'
53360
7ffc4a746a73 handle direct corecursion
panny
parents: 53358
diff changeset
   620
        #> fold (fn (sel, n) => nth_map n
53411
ab4edf89992f support indirect corecursion
panny
parents: 53401
diff changeset
   621
          (build_corec_arg_indirect_call lthy has_call sel_eqns sel)) indirect_calls'
53341
63015d035301 handle selector formulae with no corecursive calls
panny
parents: 53335
diff changeset
   622
      end
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   623
  end;
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   624
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   625
fun co_build_defs lthy bs mxs has_call arg_Tss corec_specs disc_eqnss sel_eqnss =
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   626
  let
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   627
    val corec_specs' = take (length bs) corec_specs;
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   628
    val corecs = map #corec corec_specs';
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   629
    val ctr_specss = map #ctr_specs corec_specs';
53360
7ffc4a746a73 handle direct corecursion
panny
parents: 53358
diff changeset
   630
    val corec_args = hd corecs
7ffc4a746a73 handle direct corecursion
panny
parents: 53358
diff changeset
   631
      |> fst o split_last o binder_types o fastype_of
7ffc4a746a73 handle direct corecursion
panny
parents: 53358
diff changeset
   632
      |> map (Const o pair @{const_name undefined})
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   633
      |> fold2 (fold o build_corec_arg_disc) ctr_specss disc_eqnss
53360
7ffc4a746a73 handle direct corecursion
panny
parents: 53358
diff changeset
   634
      |> fold2 (fold o build_corec_args_sel lthy has_call) sel_eqnss ctr_specss;
53735
99331dac1e1c simplified code; eliminated some dummyTs
panny
parents: 53734
diff changeset
   635
    fun currys [] t = t
99331dac1e1c simplified code; eliminated some dummyTs
panny
parents: 53734
diff changeset
   636
      | currys Ts t = t $ mk_tuple1 (List.rev Ts) (map Bound (length Ts - 1 downto 0))
99331dac1e1c simplified code; eliminated some dummyTs
panny
parents: 53734
diff changeset
   637
          |> fold_rev (Term.abs o pair Name.uu) Ts;
53401
2101a97e6220 various refactoring;
panny
parents: 53360
diff changeset
   638
53360
7ffc4a746a73 handle direct corecursion
panny
parents: 53358
diff changeset
   639
val _ = tracing ("corecursor arguments:\n    \<cdot> " ^
53411
ab4edf89992f support indirect corecursion
panny
parents: 53401
diff changeset
   640
 space_implode "\n    \<cdot> " (map (Syntax.string_of_term lthy) corec_args));
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   641
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   642
    val exclss' =
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   643
      disc_eqnss
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   644
      |> map (map (fn {fun_args, ctr_no, prems, ...} => (fun_args, ctr_no, prems))
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   645
        #> fst o (fn xs => fold_map (fn x => fn ys => ((x, ys), ys @ [x])) xs [])
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   646
        #> maps (uncurry (map o pair)
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   647
          #> map (fn ((fun_args, c, x), (_, c', y)) => ((c, c'), (x, mk_not (mk_conjs y)))
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   648
            ||> apfst (map HOLogic.mk_Trueprop) o apsnd HOLogic.mk_Trueprop
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   649
            ||> Logic.list_implies
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   650
            ||> curry Logic.list_all (map dest_Free fun_args))))
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   651
  in
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   652
    map (list_comb o rpair corec_args) corecs
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   653
    |> map2 (fn Ts => fn t => if length Ts = 0 then t $ HOLogic.unit else t) arg_Tss
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   654
    |> map2 currys arg_Tss
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   655
    |> Syntax.check_terms lthy
53352
43a1cc050943 honor mixfix specifications
traytel
parents: 53341
diff changeset
   656
    |> map3 (fn b => fn mx => fn t => ((b, mx), ((Binding.map_name Thm.def_name b, []), t))) bs mxs
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   657
    |> rpair exclss'
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   658
  end;
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   659
53722
e176d6d3345f generate more theorems (e.g. for types with only one constructor)
panny
parents: 53720
diff changeset
   660
fun mk_real_disc_eqns fun_binding arg_Ts {ctr_specs, ...} sel_eqns disc_eqns =
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   661
  if length disc_eqns <> length ctr_specs - 1 then disc_eqns else
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   662
    let
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   663
      val n = 0 upto length ctr_specs
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   664
        |> the o find_first (fn idx => not (exists (equal idx o #ctr_no) disc_eqns));
53722
e176d6d3345f generate more theorems (e.g. for types with only one constructor)
panny
parents: 53720
diff changeset
   665
      val fun_args = (try (#fun_args o hd) disc_eqns, try (#fun_args o hd) sel_eqns)
e176d6d3345f generate more theorems (e.g. for types with only one constructor)
panny
parents: 53720
diff changeset
   666
        |> the_default (map (curry Free Name.uu) arg_Ts) o merge_options;
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   667
      val extra_disc_eqn = {
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   668
        fun_name = Binding.name_of fun_binding,
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   669
        fun_T = arg_Ts ---> body_type (fastype_of (#ctr (hd ctr_specs))),
53722
e176d6d3345f generate more theorems (e.g. for types with only one constructor)
panny
parents: 53720
diff changeset
   670
        fun_args = fun_args,
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   671
        ctr = #ctr (nth ctr_specs n),
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   672
        ctr_no = n,
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   673
        disc = #disc (nth ctr_specs n),
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   674
        prems = maps (invert_prems o #prems) disc_eqns,
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   675
        user_eqn = undef_const};
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   676
    in
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   677
      chop n disc_eqns ||> cons extra_disc_eqn |> (op @)
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   678
    end;
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   679
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   680
fun add_primcorec sequential fixes specs lthy =
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   681
  let
53352
43a1cc050943 honor mixfix specifications
traytel
parents: 53341
diff changeset
   682
    val (bs, mxs) = map_split (apfst fst) fixes;
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   683
    val (arg_Ts, res_Ts) = map (strip_type o snd o fst #>> HOLogic.mk_tupleT) fixes |> split_list;
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   684
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   685
    (* copied from primrec_new *)
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   686
    fun get_indices t = map (fst #>> Binding.name_of #> Free) fixes
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   687
      |> map_index (fn (i, v) => if exists_subterm (equal v) t then SOME i else NONE)
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   688
      |> map_filter I;
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   689
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   690
    val callssss = []; (* FIXME *)
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   691
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   692
    val ((nontriv, corec_specs', _, coinduct_thm, strong_co_induct_thm, coinduct_thmss,
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   693
          strong_coinduct_thmss), lthy') =
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   694
      corec_specs_of bs arg_Ts res_Ts get_indices callssss lthy;
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   695
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   696
    val fun_names = map Binding.name_of bs;
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   697
    val corec_specs = take (length fun_names) corec_specs'; (*###*)
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   698
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   699
    val (eqns_data, _) =
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   700
      fold_map (co_dissect_eqn sequential fun_names corec_specs) (map snd specs) []
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   701
      |>> flat;
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   702
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   703
    val disc_eqnss' = map_filter (try (fn Disc x => x)) eqns_data
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   704
      |> partition_eq ((op =) o pairself #fun_name)
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   705
      |> fst o finds (fn (x, ({fun_name, ...} :: _)) => x = fun_name) fun_names
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   706
      |> map (sort ((op <) o pairself #ctr_no |> make_ord) o flat o snd);
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   707
    val _ = disc_eqnss' |> map (fn x =>
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   708
      let val d = duplicates ((op =) o pairself #ctr_no) x in null d orelse
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   709
        primrec_error_eqns "excess discriminator equations in definition"
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   710
          (maps (fn t => filter (equal (#ctr_no t) o #ctr_no) x) d |> map #user_eqn) end);
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   711
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   712
    val sel_eqnss = map_filter (try (fn Sel x => x)) eqns_data
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   713
      |> partition_eq ((op =) o pairself #fun_name)
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   714
      |> fst o finds (fn (x, ({fun_name, ...} :: _)) => x = fun_name) fun_names
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   715
      |> map (flat o snd);
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   716
53360
7ffc4a746a73 handle direct corecursion
panny
parents: 53358
diff changeset
   717
    val has_call = exists_subterm (map (fst #>> Binding.name_of #> Free) fixes |> member (op =));
7ffc4a746a73 handle direct corecursion
panny
parents: 53358
diff changeset
   718
    val arg_Tss = map (binder_types o snd o fst) fixes;
53722
e176d6d3345f generate more theorems (e.g. for types with only one constructor)
panny
parents: 53720
diff changeset
   719
    val disc_eqnss = map5 mk_real_disc_eqns bs arg_Tss corec_specs sel_eqnss disc_eqnss';
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   720
    val (defs, exclss') =
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   721
      co_build_defs lthy' bs mxs has_call arg_Tss corec_specs disc_eqnss sel_eqnss;
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   722
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   723
    (* try to prove (automatically generated) tautologies by ourselves *)
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   724
    val exclss'' = exclss'
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   725
      |> map (map (apsnd
53699
7d32f33d340d tuned tactics
blanchet
parents: 53692
diff changeset
   726
        (`(try (fn t => Goal.prove lthy [] [] t (mk_primcorec_assumption_tac lthy |> K))))));
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   727
    val taut_thmss = map (map (apsnd (the o fst)) o filter (is_some o fst o snd)) exclss'';
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   728
    val (obligation_idxss, obligationss) = exclss''
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   729
      |> map (map (apsnd (rpair [] o snd)) o filter (is_none o fst o snd))
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   730
      |> split_list o map split_list;
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   731
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   732
    fun prove thmss' def_thms' lthy =
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   733
      let
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   734
        val def_thms = map (snd o snd) def_thms';
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   735
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   736
        val exclss' = map (op ~~) (obligation_idxss ~~ thmss');
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   737
        fun mk_exclsss excls n =
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   738
          (excls, map (fn k => replicate k [TrueI] @ replicate (n - k) []) (0 upto n - 1))
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   739
          |-> fold (fn ((c, c'), thm) => nth_map c (nth_map c' (K [thm])));
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   740
        val exclssss = (exclss' ~~ taut_thmss |> map (op @), fun_names ~~ corec_specs)
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   741
          |-> map2 (fn excls => fn (_, {ctr_specs, ...}) => mk_exclsss excls (length ctr_specs));
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   742
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   743
        fun prove_disc {ctr_specs, ...} exclsss
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   744
            {fun_name, fun_T, fun_args, ctr_no, prems, user_eqn, ...} =
53722
e176d6d3345f generate more theorems (e.g. for types with only one constructor)
panny
parents: 53720
diff changeset
   745
          if Term.aconv_untyped (#disc (nth ctr_specs ctr_no), @{term "\<lambda>x. x = x"}) then [] else
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   746
            let
53722
e176d6d3345f generate more theorems (e.g. for types with only one constructor)
panny
parents: 53720
diff changeset
   747
              val {disc_corec, ...} = nth ctr_specs ctr_no;
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   748
              val k = 1 + ctr_no;
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   749
              val m = length prems;
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   750
              val t =
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   751
                list_comb (Free (fun_name, fun_T), map Bound (length fun_args - 1 downto 0))
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   752
                |> curry betapply (#disc (nth ctr_specs ctr_no)) (*###*)
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   753
                |> HOLogic.mk_Trueprop
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   754
                |> curry Logic.list_implies (map HOLogic.mk_Trueprop prems)
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   755
                |> curry Logic.list_all (map dest_Free fun_args);
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   756
            in
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   757
              mk_primcorec_disc_tac lthy def_thms disc_corec k m exclsss
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   758
              |> K |> Goal.prove lthy [] [] t
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   759
              |> pair (#disc (nth ctr_specs ctr_no))
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   760
              |> single
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   761
            end;
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   762
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   763
        fun prove_sel {ctr_specs, nested_maps, nested_map_idents, nested_map_comps, ...}
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   764
            disc_eqns exclsss {fun_name, fun_T, fun_args, ctr, sel, rhs_term, ...} =
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   765
          let
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   766
            val (SOME ctr_spec) = find_first (equal ctr o #ctr) ctr_specs;
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   767
            val ctr_no = find_index (equal ctr o #ctr) ctr_specs;
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   768
            val prems = the_default (maps (invert_prems o #prems) disc_eqns)
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   769
                (find_first (equal ctr_no o #ctr_no) disc_eqns |> Option.map #prems);
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   770
            val sel_corec = find_index (equal sel) (#sels ctr_spec)
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   771
              |> nth (#sel_corecs ctr_spec);
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   772
            val k = 1 + ctr_no;
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   773
            val m = length prems;
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   774
            val t =
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   775
              list_comb (Free (fun_name, fun_T), map Bound (length fun_args - 1 downto 0))
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   776
              |> curry betapply sel
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   777
              |> rpair (abstract (List.rev fun_args) rhs_term)
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   778
              |> HOLogic.mk_Trueprop o HOLogic.mk_eq
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   779
              |> curry Logic.list_implies (map HOLogic.mk_Trueprop prems)
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   780
              |> curry Logic.list_all (map dest_Free fun_args);
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   781
          in
53692
blanchet
parents: 53654
diff changeset
   782
            mk_primcorec_ctr_or_sel_tac lthy def_thms sel_corec k m exclsss
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   783
              nested_maps nested_map_idents nested_map_comps
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   784
            |> K |> Goal.prove lthy [] [] t
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   785
            |> pair sel
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   786
          end;
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   787
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   788
        fun prove_ctr (_, disc_thms) (_, sel_thms') disc_eqns sel_eqns
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   789
            {ctr, disc, sels, collapse, ...} =
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   790
          if not (exists (equal ctr o #ctr) disc_eqns)
53722
e176d6d3345f generate more theorems (e.g. for types with only one constructor)
panny
parents: 53720
diff changeset
   791
              andalso not (exists (equal ctr o #ctr) sel_eqns)
e176d6d3345f generate more theorems (e.g. for types with only one constructor)
panny
parents: 53720
diff changeset
   792
andalso (warning ("no eqns for ctr " ^ Syntax.string_of_term lthy ctr); true)
e176d6d3345f generate more theorems (e.g. for types with only one constructor)
panny
parents: 53720
diff changeset
   793
            orelse (* don't try to prove theorems when some sel_eqns are missing *)
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   794
              filter (equal ctr o #ctr) sel_eqns
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   795
              |> fst o finds ((op =) o apsnd #sel) sels
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   796
              |> exists (null o snd)
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   797
andalso (warning ("sel_eqn(s) missing for ctr " ^ Syntax.string_of_term lthy ctr); true)
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   798
          then [] else
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   799
            let
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   800
val _ = tracing ("ctr = " ^ Syntax.string_of_term lthy ctr);
53735
99331dac1e1c simplified code; eliminated some dummyTs
panny
parents: 53734
diff changeset
   801
val _ = tracing (the_default "no disc_eqn" (Option.map (curry (op ^) "disc = " o Syntax.string_of_term lthy o #disc) (find_first (equal ctr o #ctr) disc_eqns)));
53722
e176d6d3345f generate more theorems (e.g. for types with only one constructor)
panny
parents: 53720
diff changeset
   802
              val (fun_name, fun_T, fun_args, prems) =
e176d6d3345f generate more theorems (e.g. for types with only one constructor)
panny
parents: 53720
diff changeset
   803
                (find_first (equal ctr o #ctr) disc_eqns, find_first (equal ctr o #ctr) sel_eqns)
e176d6d3345f generate more theorems (e.g. for types with only one constructor)
panny
parents: 53720
diff changeset
   804
                |>> Option.map (fn x => (#fun_name x, #fun_T x, #fun_args x, #prems x))
e176d6d3345f generate more theorems (e.g. for types with only one constructor)
panny
parents: 53720
diff changeset
   805
                ||> Option.map (fn x => (#fun_name x, #fun_T x, #fun_args x, []))
e176d6d3345f generate more theorems (e.g. for types with only one constructor)
panny
parents: 53720
diff changeset
   806
                |> the o merge_options;
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   807
              val m = length prems;
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   808
              val t = sel_eqns
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   809
                |> fst o finds ((op =) o apsnd #sel) sels
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   810
                |> map (snd #> (fn [x] => (List.rev (#fun_args x), #rhs_term x)) #-> abstract)
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   811
                |> curry list_comb ctr
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   812
                |> curry HOLogic.mk_eq (list_comb (Free (fun_name, fun_T),
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   813
                  map Bound (length fun_args - 1 downto 0)))
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   814
                |> HOLogic.mk_Trueprop
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   815
                |> curry Logic.list_implies (map HOLogic.mk_Trueprop prems)
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   816
                |> curry Logic.list_all (map dest_Free fun_args);
53722
e176d6d3345f generate more theorems (e.g. for types with only one constructor)
panny
parents: 53720
diff changeset
   817
              val maybe_disc_thm = AList.lookup (op =) disc_thms disc;
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   818
              val sel_thms = map snd (filter (member (op =) sels o fst) sel_thms');
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   819
val _ = tracing ("t = " ^ Syntax.string_of_term lthy t);
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   820
val _ = tracing ("m = " ^ @{make_string} m);
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   821
val _ = tracing ("collapse = " ^ @{make_string} collapse);
53722
e176d6d3345f generate more theorems (e.g. for types with only one constructor)
panny
parents: 53720
diff changeset
   822
val _ = tracing ("maybe_disc_thm = " ^ @{make_string} maybe_disc_thm);
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   823
val _ = tracing ("sel_thms = " ^ @{make_string} sel_thms);
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   824
            in
53722
e176d6d3345f generate more theorems (e.g. for types with only one constructor)
panny
parents: 53720
diff changeset
   825
              mk_primcorec_ctr_of_dtr_tac lthy m collapse maybe_disc_thm sel_thms
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   826
              |> K |> Goal.prove lthy [] [] t
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   827
              |> single
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   828
          end;
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   829
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   830
        val (disc_notes, disc_thmss) =
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   831
          fun_names ~~ map3 (maps oo prove_disc) corec_specs exclssss disc_eqnss
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   832
          |> `(map (fn (fun_name, thms) =>
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   833
            ((Binding.qualify true fun_name (@{binding disc}), simp_attrs), [(map snd thms, [])])));
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   834
        val (sel_notes, sel_thmss) =
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   835
          fun_names ~~ map4 (map ooo prove_sel) corec_specs disc_eqnss exclssss sel_eqnss
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   836
          |> `(map (fn (fun_name, thms) =>
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   837
            ((Binding.qualify true fun_name (@{binding sel}), simp_attrs), [(map snd thms, [])])));
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   838
        val ctr_notes =
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   839
          fun_names ~~ map5 (maps oooo prove_ctr) disc_thmss sel_thmss
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   840
            disc_eqnss sel_eqnss (map #ctr_specs corec_specs)
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   841
          |> map (fn (fun_name, thms) =>
53736
82799e03fff7 don't declare ctr view primcorec theorems as simp (they loop)
traytel
parents: 53735
diff changeset
   842
            ((Binding.qualify true fun_name (@{binding ctr}), []), [(thms, [])]));
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   843
      in
53720
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   844
        lthy |> snd o Local_Theory.notes
03fac7082137 generate constructor view theorems
panny
parents: 53699
diff changeset
   845
          (filter (not o null o fst o the_single o snd) (disc_notes @ sel_notes @ ctr_notes))
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   846
      end;
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   847
  in
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   848
    lthy'
53654
8b9ea4420f81 prove simp theorems for newly generated definitions
panny
parents: 53411
diff changeset
   849
    |> Proof.theorem NONE (curry (op #->) (fold_map Local_Theory.define defs) o prove) obligationss
53303
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   850
    |> Proof.refine (Method.primitive_text I)
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   851
    |> Seq.hd
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   852
  end
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   853
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   854
fun add_primcorec_cmd seq (raw_fixes, raw_specs) lthy =
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   855
  let
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   856
    val (fixes, specs) = fst (Specification.read_spec raw_fixes raw_specs lthy);
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   857
  in
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   858
    add_primcorec seq fixes specs lthy
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   859
    handle ERROR str => primrec_error str
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   860
  end
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   861
  handle Primrec_Error (str, eqns) =>
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   862
    if null eqns
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   863
    then error ("primcorec error:\n  " ^ str)
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   864
    else error ("primcorec error:\n  " ^ str ^ "\nin\n  " ^
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   865
      space_implode "\n  " (map (quote o Syntax.string_of_term lthy) eqns))
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   866
ae49b835ca01 moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff changeset
   867
end;