author | blanchet |
Wed, 18 Sep 2013 18:12:40 +0200 | |
changeset 53699 | 7d32f33d340d |
parent 53692 | 2c04e30c2f3e |
child 53720 | 03fac7082137 |
permissions | -rw-r--r-- |
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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; |
53310 | 12 |
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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53358 | 31 |
fun finds eq = fold_map (fn x => List.partition (curry eq x) #>> pair x); |
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||
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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 (fn u => Abs (Name.uu, dummyT, u))) (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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val simp_attrs = @{attributes [simp]}; |
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fun abstract n vs (t $ u) = abstract n vs t $ abstract n vs u |
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| abstract n vs (Abs (v, T, b)) = Abs (v, T, abstract (n + 1) vs b) |
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| abstract n vs 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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53310 | 60 |
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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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103 |
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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107 |
in |
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108 |
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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111 |
end; |
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112 |
in |
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{fun_name = fun_name, |
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rec_type = body_type (type_of ctr), |
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115 |
ctr = ctr, |
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ctr_args = ctr_args, |
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117 |
left_args = left_args, |
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118 |
right_args = right_args, |
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119 |
res_type = map fastype_of (left_args @ right_args) ---> fastype_of rhs, |
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120 |
rhs_term = rhs, |
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121 |
user_eqn = eqn'} |
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122 |
end; |
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123 |
|
53401 | 124 |
fun rewrite_map_arg get_ctr_pos rec_type res_type = |
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125 |
let |
53357 | 126 |
val pT = HOLogic.mk_prodT (rec_type, res_type); |
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127 |
|
53357 | 128 |
val maybe_suc = Option.map (fn x => x + 1); |
129 |
fun subst d (t as Bound d') = t |> d = SOME d' ? curry (op $) (fst_const pT) |
|
130 |
| subst d (Abs (v, T, b)) = Abs (v, if d = SOME ~1 then pT else T, subst (maybe_suc d) b) |
|
131 |
| subst d t = |
|
53358 | 132 |
let |
133 |
val (u, vs) = strip_comb t; |
|
53401 | 134 |
val ctr_pos = try (get_ctr_pos o the) (free_name u) |> the_default ~1; |
53358 | 135 |
in |
53401 | 136 |
if ctr_pos >= 0 then |
53357 | 137 |
if d = SOME ~1 andalso length vs = ctr_pos then |
138 |
list_comb (permute_args ctr_pos (snd_const pT), vs) |
|
139 |
else if length vs > ctr_pos andalso is_some d |
|
140 |
andalso d = try (fn Bound n => n) (nth vs ctr_pos) then |
|
141 |
list_comb (snd_const pT $ nth vs ctr_pos, map (subst d) (nth_drop ctr_pos vs)) |
|
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142 |
else |
53357 | 143 |
primrec_error_eqn ("recursive call not directly applied to constructor argument") t |
144 |
else if d = SOME ~1 andalso const_name u = SOME @{const_name comp} then |
|
145 |
list_comb (map_types (K dummyT) u, map2 subst [NONE, d] vs) |
|
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146 |
else |
53357 | 147 |
list_comb (u, map (subst (d |> d = SOME ~1 ? K NONE)) vs) |
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|
148 |
end |
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|
149 |
in |
53357 | 150 |
subst (SOME ~1) |
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151 |
end; |
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|
152 |
|
53401 | 153 |
fun subst_rec_calls lthy get_ctr_pos has_call ctr_args direct_calls indirect_calls t = |
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|
154 |
let |
53350 | 155 |
fun subst bound_Ts (Abs (v, T, b)) = Abs (v, T, subst (T :: bound_Ts) b) |
53358 | 156 |
| subst bound_Ts (t as g' $ y) = |
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|
157 |
let |
53350 | 158 |
val maybe_direct_y' = AList.lookup (op =) direct_calls y; |
159 |
val maybe_indirect_y' = AList.lookup (op =) indirect_calls y; |
|
53358 | 160 |
val (g, g_args) = strip_comb g'; |
53401 | 161 |
val ctr_pos = try (get_ctr_pos o the) (free_name g) |> the_default ~1; |
162 |
val _ = ctr_pos < 0 orelse length g_args >= ctr_pos orelse |
|
53358 | 163 |
primrec_error_eqn "too few arguments in recursive call" t; |
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|
164 |
in |
53358 | 165 |
if not (member (op =) ctr_args y) then |
166 |
pairself (subst bound_Ts) (g', y) |> (op $) |
|
53401 | 167 |
else if ctr_pos >= 0 then |
53358 | 168 |
list_comb (the maybe_direct_y', g_args) |
53350 | 169 |
else if is_some maybe_indirect_y' then |
53358 | 170 |
(if has_call g' then t else y) |
171 |
|> massage_indirect_rec_call lthy has_call |
|
53401 | 172 |
(rewrite_map_arg get_ctr_pos) bound_Ts y (the maybe_indirect_y') |
53358 | 173 |
|> (if has_call g' then I else curry (op $) g') |
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174 |
else |
53350 | 175 |
t |
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176 |
end |
53350 | 177 |
| subst _ t = t |
178 |
in |
|
179 |
subst [] t |
|
53358 | 180 |
|> tap (fn u => has_call u andalso (* FIXME detect this case earlier *) |
181 |
primrec_error_eqn "recursive call not directly applied to constructor argument" t) |
|
53350 | 182 |
end; |
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|
183 |
|
53358 | 184 |
fun build_rec_arg lthy funs_data has_call ctr_spec maybe_eqn_data = |
185 |
if is_none maybe_eqn_data then undef_const else |
|
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186 |
let |
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|
187 |
val eqn_data = the maybe_eqn_data; |
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|
188 |
val t = #rhs_term eqn_data; |
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|
189 |
val ctr_args = #ctr_args eqn_data; |
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|
190 |
|
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|
191 |
val calls = #calls ctr_spec; |
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|
192 |
val n_args = fold (curry (op +) o (fn Direct_Rec _ => 2 | _ => 1)) calls 0; |
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|
193 |
|
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|
194 |
val no_calls' = tag_list 0 calls |
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|
195 |
|> map_filter (try (apsnd (fn No_Rec n => n | Direct_Rec (n, _) => n))); |
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|
196 |
val direct_calls' = tag_list 0 calls |
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|
197 |
|> map_filter (try (apsnd (fn Direct_Rec (_, n) => n))); |
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|
198 |
val indirect_calls' = tag_list 0 calls |
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|
199 |
|> map_filter (try (apsnd (fn Indirect_Rec n => n))); |
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|
200 |
|
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|
201 |
fun make_direct_type T = dummyT; (* FIXME? *) |
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|
202 |
|
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|
203 |
val rec_res_type_list = map (fn (x :: _) => (#rec_type x, #res_type x)) funs_data; |
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|
204 |
|
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|
205 |
fun make_indirect_type (Type (Tname, Ts)) = Type (Tname, Ts |> map (fn T => |
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|
206 |
let val maybe_res_type = AList.lookup (op =) rec_res_type_list T in |
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|
207 |
if is_some maybe_res_type |
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|
208 |
then HOLogic.mk_prodT (T, the maybe_res_type) |
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|
209 |
else make_indirect_type T end)) |
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|
210 |
| make_indirect_type T = T; |
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|
211 |
|
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|
212 |
val args = replicate n_args ("", dummyT) |
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|
213 |
|> Term.rename_wrt_term t |
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|
214 |
|> map Free |
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|
215 |
|> fold (fn (ctr_arg_idx, arg_idx) => |
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|
216 |
nth_map arg_idx (K (nth ctr_args ctr_arg_idx))) |
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|
217 |
no_calls' |
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|
218 |
|> fold (fn (ctr_arg_idx, arg_idx) => |
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|
219 |
nth_map arg_idx (K (nth ctr_args ctr_arg_idx |> map_types make_direct_type))) |
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|
220 |
direct_calls' |
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|
221 |
|> fold (fn (ctr_arg_idx, arg_idx) => |
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|
222 |
nth_map arg_idx (K (nth ctr_args ctr_arg_idx |> map_types make_indirect_type))) |
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|
223 |
indirect_calls'; |
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|
224 |
|
53401 | 225 |
val fun_name_ctr_pos_list = |
226 |
map (fn (x :: _) => (#fun_name x, length (#left_args x))) funs_data; |
|
227 |
val get_ctr_pos = try (the o AList.lookup (op =) fun_name_ctr_pos_list) #> the_default ~1; |
|
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|
228 |
val direct_calls = map (apfst (nth ctr_args) o apsnd (nth args)) direct_calls'; |
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|
229 |
val indirect_calls = map (apfst (nth ctr_args) o apsnd (nth args)) indirect_calls'; |
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|
230 |
|
53401 | 231 |
val abstractions = args @ #left_args eqn_data @ #right_args eqn_data; |
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|
232 |
in |
53350 | 233 |
t |
53401 | 234 |
|> subst_rec_calls lthy get_ctr_pos has_call ctr_args direct_calls indirect_calls |
235 |
|> fold_rev lambda abstractions |
|
53350 | 236 |
end; |
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|
237 |
|
53358 | 238 |
fun build_defs lthy bs mxs funs_data rec_specs has_call = |
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|
239 |
let |
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|
240 |
val n_funs = length funs_data; |
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|
241 |
|
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|
242 |
val ctr_spec_eqn_data_list' = |
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|
243 |
(take n_funs rec_specs |> map #ctr_specs) ~~ funs_data |
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|
244 |
|> maps (uncurry (finds (fn (x, y) => #ctr x = #ctr y)) |
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|
245 |
##> (fn x => null x orelse |
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|
246 |
primrec_error_eqns "excess equations in definition" (map #rhs_term x)) #> fst); |
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|
247 |
val _ = ctr_spec_eqn_data_list' |> map (fn (_, x) => length x <= 1 orelse |
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|
248 |
primrec_error_eqns ("multiple equations for constructor") (map #user_eqn x)); |
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|
249 |
|
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|
250 |
val ctr_spec_eqn_data_list = |
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|
251 |
ctr_spec_eqn_data_list' @ (drop n_funs rec_specs |> maps #ctr_specs |> map (rpair [])); |
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|
252 |
|
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|
253 |
val recs = take n_funs rec_specs |> map #recx; |
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|
254 |
val rec_args = ctr_spec_eqn_data_list |
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|
255 |
|> sort ((op <) o pairself (#offset o fst) |> make_ord) |
53358 | 256 |
|> map (uncurry (build_rec_arg lthy funs_data has_call) o apsnd (try the_single)); |
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257 |
val ctr_poss = map (fn x => |
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258 |
if length (distinct ((op =) o pairself (length o #left_args)) x) <> 1 then |
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|
259 |
primrec_error ("inconstant constructor pattern position for function " ^ |
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260 |
quote (#fun_name (hd x))) |
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|
261 |
else |
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|
262 |
hd x |> #left_args |> length) funs_data; |
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|
263 |
in |
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|
264 |
(recs, ctr_poss) |
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265 |
|-> map2 (fn recx => fn ctr_pos => list_comb (recx, rec_args) |> permute_args ctr_pos) |
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266 |
|> Syntax.check_terms lthy |
53352 | 267 |
|> map3 (fn b => fn mx => fn t => ((b, mx), ((Binding.map_name Thm.def_name b, []), t))) bs mxs |
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268 |
end; |
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|
269 |
|
53358 | 270 |
fun find_rec_calls has_call eqn_data = |
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|
271 |
let |
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|
272 |
fun find (Abs (_, _, b)) ctr_arg = find b ctr_arg |
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|
273 |
| find (t as _ $ _) ctr_arg = |
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|
274 |
let |
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|
275 |
val (f', args') = strip_comb t; |
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|
276 |
val n = find_index (equal ctr_arg) args'; |
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|
277 |
in |
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|
278 |
if n < 0 then |
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|
279 |
find f' ctr_arg @ maps (fn x => find x ctr_arg) args' |
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|
280 |
else |
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|
281 |
let val (f, args) = chop n args' |>> curry list_comb f' in |
53358 | 282 |
if has_call f then |
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|
283 |
f :: maps (fn x => find x ctr_arg) args |
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|
284 |
else |
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|
285 |
find f ctr_arg @ maps (fn x => find x ctr_arg) args |
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|
286 |
end |
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|
287 |
end |
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|
288 |
| find _ _ = []; |
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|
289 |
in |
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|
290 |
map (find (#rhs_term eqn_data)) (#ctr_args eqn_data) |
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|
291 |
|> (fn [] => NONE | callss => SOME (#ctr eqn_data, callss)) |
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|
292 |
end; |
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|
293 |
|
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|
294 |
fun add_primrec fixes specs lthy = |
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|
295 |
let |
53352 | 296 |
val (bs, mxs) = map_split (apfst fst) fixes; |
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|
297 |
val fun_names = map Binding.name_of bs; |
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|
298 |
val eqns_data = map (snd #> dissect_eqn lthy fun_names) specs; |
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|
299 |
val funs_data = eqns_data |
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|
300 |
|> partition_eq ((op =) o pairself #fun_name) |
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|
301 |
|> finds (fn (x, y) => x = #fun_name (hd y)) fun_names |> fst |
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|
302 |
|> map (fn (x, y) => the_single y handle List.Empty => |
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|
303 |
primrec_error ("missing equations for function " ^ quote x)); |
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|
304 |
|
53358 | 305 |
val has_call = exists_subterm (map (fst #>> Binding.name_of #> Free) fixes |> member (op =)); |
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|
306 |
val arg_Ts = map (#rec_type o hd) funs_data; |
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|
307 |
val res_Ts = map (#res_type o hd) funs_data; |
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|
308 |
val callssss = funs_data |
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|
309 |
|> map (partition_eq ((op =) o pairself #ctr)) |
53358 | 310 |
|> map (maps (map_filter (find_rec_calls has_call))); |
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|
311 |
|
53358 | 312 |
fun get_indices t = map (fst #>> Binding.name_of #> Free) fixes |
313 |
|> map_index (fn (i, v) => if exists_subterm (equal v) t then SOME i else NONE) |
|
314 |
|> map_filter I; |
|
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|
315 |
val ((nontriv, rec_specs, _, induct_thm, induct_thms), lthy') = |
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|
316 |
rec_specs_of bs arg_Ts res_Ts get_indices callssss lthy; |
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|
317 |
|
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|
318 |
val actual_nn = length funs_data; |
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|
319 |
|
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|
320 |
val _ = let val ctrs = (maps (map #ctr o #ctr_specs) rec_specs) in |
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|
321 |
map (fn {ctr, user_eqn, ...} => member (op =) ctrs ctr orelse |
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|
322 |
primrec_error_eqn ("argument " ^ quote (Syntax.string_of_term lthy' ctr) ^ |
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|
323 |
" is not a constructor in left-hand side") user_eqn) eqns_data end; |
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|
324 |
|
53358 | 325 |
val defs = build_defs lthy' bs mxs funs_data rec_specs has_call; |
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|
326 |
|
53329 | 327 |
fun prove def_thms' {ctr_specs, nested_map_idents, nested_map_comps, ...} induct_thm fun_data |
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|
328 |
lthy = |
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|
329 |
let |
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|
330 |
val fun_name = #fun_name (hd fun_data); |
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|
331 |
val def_thms = map (snd o snd) def_thms'; |
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|
332 |
val simp_thms = finds (fn (x, y) => #ctr x = #ctr y) fun_data ctr_specs |
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|
333 |
|> fst |
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|
334 |
|> map_filter (try (fn (x, [y]) => |
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|
335 |
(#user_eqn x, length (#left_args x) + length (#right_args x), #rec_thm y))) |
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|
336 |
|> map (fn (user_eqn, num_extra_args, rec_thm) => |
53329 | 337 |
mk_primrec_tac lthy num_extra_args nested_map_idents nested_map_comps def_thms rec_thm |
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|
338 |
|> K |> Goal.prove lthy [] [] user_eqn) |
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|
339 |
|
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|
340 |
val notes = |
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|
341 |
[(inductN, if actual_nn > 1 then [induct_thm] else [], []), |
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|
342 |
(simpsN, simp_thms, simp_attrs)] |
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|
343 |
|> filter_out (null o #2) |
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|
344 |
|> map (fn (thmN, thms, attrs) => |
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|
345 |
((Binding.qualify true fun_name (Binding.name thmN), attrs), [(thms, [])])); |
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|
346 |
in |
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|
347 |
lthy |> Local_Theory.notes notes |
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|
348 |
end; |
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|
349 |
|
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|
350 |
val common_name = mk_common_name fun_names; |
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|
351 |
|
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|
352 |
val common_notes = |
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|
353 |
[(inductN, if nontriv andalso actual_nn > 1 then [induct_thm] else [], [])] |
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|
354 |
|> filter_out (null o #2) |
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|
355 |
|> map (fn (thmN, thms, attrs) => |
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|
356 |
((Binding.qualify true common_name (Binding.name thmN), attrs), [(thms, [])])); |
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|
357 |
in |
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|
358 |
lthy' |
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|
359 |
|> fold_map Local_Theory.define defs |
53654
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|
360 |
|-> snd oo (fn def_thms' => fold_map3 (prove def_thms') (take actual_nn rec_specs) |
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|
361 |
(take actual_nn induct_thms) funs_data) |
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|
362 |
|> snd o Local_Theory.notes common_notes |
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|
363 |
end; |
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|
364 |
|
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|
365 |
fun add_primrec_cmd raw_fixes raw_specs lthy = |
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|
366 |
let |
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|
367 |
val _ = let val d = duplicates (op =) (map (Binding.name_of o #1) raw_fixes) in null d orelse |
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|
368 |
primrec_error ("duplicate function name(s): " ^ commas d) end; |
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|
369 |
val (fixes, specs) = fst (Specification.read_spec raw_fixes raw_specs lthy); |
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changeset
|
370 |
in |
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diff
changeset
|
371 |
add_primrec fixes specs lthy |
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changeset
|
372 |
handle ERROR str => primrec_error str |
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|
373 |
end |
ae49b835ca01
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diff
changeset
|
374 |
handle Primrec_Error (str, eqns) => |
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|
375 |
if null eqns |
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|
376 |
then error ("primrec_new error:\n " ^ str) |
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|
377 |
else error ("primrec_new error:\n " ^ str ^ "\nin\n " ^ |
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changeset
|
378 |
space_implode "\n " (map (quote o Syntax.string_of_term lthy) eqns)) |
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changeset
|
379 |
|
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diff
changeset
|
380 |
|
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|
381 |
|
53310 | 382 |
(* Primcorec *) |
53303
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|
383 |
|
53341 | 384 |
type co_eqn_data_disc = { |
53303
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|
385 |
fun_name: string, |
53401 | 386 |
fun_args: term list, |
53341 | 387 |
ctr_no: int, (*###*) |
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|
388 |
prems: term list, |
53303
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|
389 |
user_eqn: term |
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|
390 |
}; |
53341 | 391 |
type co_eqn_data_sel = { |
53303
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|
392 |
fun_name: string, |
53401 | 393 |
fun_args: term list, |
53341 | 394 |
ctr: term, |
395 |
sel: term, |
|
53303
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|
396 |
rhs_term: term, |
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changeset
|
397 |
user_eqn: term |
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changeset
|
398 |
}; |
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changeset
|
399 |
datatype co_eqn_data = |
53341 | 400 |
Disc of co_eqn_data_disc | |
401 |
Sel of co_eqn_data_sel; |
|
53303
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changeset
|
402 |
|
53654
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|
403 |
fun co_dissect_eqn_disc sequential fun_names corec_specs prems' concl matchedss = |
53303
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|
404 |
let |
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changeset
|
405 |
fun find_subterm p = let (* FIXME \<exists>? *) |
53401 | 406 |
fun f (t as u $ v) = if p t then SOME t else merge_options (f u, f v) |
53303
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|
407 |
| f t = if p t then SOME t else NONE |
ae49b835ca01
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|
408 |
in f end; |
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changeset
|
409 |
|
53654
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|
410 |
val applied_fun = concl |
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|
411 |
|> find_subterm (member ((op =) o apsnd SOME) fun_names o try (fst o dest_Free o head_of)) |
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|
412 |
|> the |
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changeset
|
413 |
handle Option.Option => primrec_error_eqn "malformed discriminator equation" concl; |
8b9ea4420f81
prove simp theorems for newly generated definitions
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|
414 |
val (fun_name, fun_args) = strip_comb applied_fun |>> fst o dest_Free; |
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|
415 |
val corec_spec = the (AList.lookup (op =) (fun_names ~~ corec_specs) fun_name); |
53303
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changeset
|
416 |
|
ae49b835ca01
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changeset
|
417 |
val discs = #ctr_specs corec_spec |> map #disc; |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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changeset
|
418 |
val ctrs = #ctr_specs corec_spec |> map #ctr; |
53654
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|
419 |
val not_disc = head_of concl = @{term Not}; |
53401 | 420 |
val _ = not_disc andalso length ctrs <> 2 andalso |
53654
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|
421 |
primrec_error_eqn "\<not>ed discriminator for a type with \<noteq> 2 constructors" concl; |
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changeset
|
422 |
val disc = find_subterm (member (op =) discs o head_of) concl; |
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prove simp theorems for newly generated definitions
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changeset
|
423 |
val eq_ctr0 = concl |> perhaps (try (HOLogic.dest_not)) |> try (HOLogic.dest_eq #> snd) |
53303
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|
424 |
|> (fn SOME t => let val n = find_index (equal t) ctrs in |
ae49b835ca01
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|
425 |
if n >= 0 then SOME n else NONE end | _ => NONE); |
ae49b835ca01
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changeset
|
426 |
val _ = is_some disc orelse is_some eq_ctr0 orelse |
53654
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|
427 |
primrec_error_eqn "no discriminator in equation" concl; |
53303
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changeset
|
428 |
val ctr_no' = |
ae49b835ca01
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parents:
diff
changeset
|
429 |
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:
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changeset
|
430 |
val ctr_no = if not_disc then 1 - ctr_no' else ctr_no'; |
53654
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changeset
|
431 |
|
8b9ea4420f81
prove simp theorems for newly generated definitions
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|
432 |
val catch_all = try (fst o dest_Free o the_single) prems' = SOME Name.uu_; |
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prove simp theorems for newly generated definitions
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changeset
|
433 |
val matcheds = AList.lookup (op =) matchedss fun_name |> the_default []; |
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prove simp theorems for newly generated definitions
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53411
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changeset
|
434 |
val prems = map (abstract 0 (List.rev fun_args)) prems'; |
8b9ea4420f81
prove simp theorems for newly generated definitions
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changeset
|
435 |
val real_prems = (if catch_all orelse sequential then invert_prems matcheds else []) @ |
8b9ea4420f81
prove simp theorems for newly generated definitions
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changeset
|
436 |
(if catch_all then [] else prems); |
53303
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changeset
|
437 |
|
53654
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prove simp theorems for newly generated definitions
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changeset
|
438 |
val matchedss' = AList.delete (op =) fun_name matchedss |
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prove simp theorems for newly generated definitions
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changeset
|
439 |
|> cons (fun_name, if sequential then prems @ matcheds else real_prems @ matcheds); |
53303
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changeset
|
440 |
|
53654
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prove simp theorems for newly generated definitions
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changeset
|
441 |
val user_eqn = |
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changeset
|
442 |
(real_prems, betapply (#disc (nth (#ctr_specs corec_spec) ctr_no), applied_fun)) |
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prove simp theorems for newly generated definitions
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53411
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changeset
|
443 |
|>> map HOLogic.mk_Trueprop ||> HOLogic.mk_Trueprop |
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prove simp theorems for newly generated definitions
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|
444 |
|> Logic.list_implies; |
53303
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changeset
|
445 |
in |
53341 | 446 |
(Disc { |
53303
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|
447 |
fun_name = fun_name, |
53401 | 448 |
fun_args = fun_args, |
53303
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changeset
|
449 |
ctr_no = ctr_no, |
53654
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prove simp theorems for newly generated definitions
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diff
changeset
|
450 |
prems = real_prems, |
8b9ea4420f81
prove simp theorems for newly generated definitions
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changeset
|
451 |
user_eqn = user_eqn |
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prove simp theorems for newly generated definitions
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changeset
|
452 |
}, matchedss') |
53303
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changeset
|
453 |
end; |
ae49b835ca01
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parents:
diff
changeset
|
454 |
|
53654
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changeset
|
455 |
fun co_dissect_eqn_sel fun_names corec_specs eqn' eqn = |
53303
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changeset
|
456 |
let |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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parents:
diff
changeset
|
457 |
val (lhs, rhs) = HOLogic.dest_eq eqn |
ae49b835ca01
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blanchet
parents:
diff
changeset
|
458 |
handle TERM _ => |
ae49b835ca01
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parents:
diff
changeset
|
459 |
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
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diff
changeset
|
460 |
val sel = head_of lhs; |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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parents:
diff
changeset
|
461 |
val (fun_name, fun_args) = dest_comb lhs |> snd |> strip_comb |> apfst (fst o dest_Free) |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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parents:
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changeset
|
462 |
handle TERM _ => |
ae49b835ca01
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parents:
diff
changeset
|
463 |
primrec_error_eqn "malformed selector argument in left-hand side" eqn; |
53654
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prove simp theorems for newly generated definitions
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changeset
|
464 |
val corec_spec = the (AList.lookup (op =) (fun_names ~~ corec_specs) fun_name) |
53303
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changeset
|
465 |
handle Option.Option => primrec_error_eqn "malformed selector argument in left-hand side" eqn; |
53341 | 466 |
val (ctr_spec, sel) = #ctr_specs corec_spec |
53303
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changeset
|
467 |
|> the o get_index (try (the o find_first (equal sel) o #sels)) |
53341 | 468 |
|>> nth (#ctr_specs corec_spec); |
53654
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prove simp theorems for newly generated definitions
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changeset
|
469 |
val user_eqn = drop_All eqn'; |
53303
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changeset
|
470 |
in |
53341 | 471 |
Sel { |
53303
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diff
changeset
|
472 |
fun_name = fun_name, |
53401 | 473 |
fun_args = fun_args, |
53341 | 474 |
ctr = #ctr ctr_spec, |
475 |
sel = sel, |
|
53303
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diff
changeset
|
476 |
rhs_term = rhs, |
53654
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changeset
|
477 |
user_eqn = user_eqn |
53303
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|
478 |
} |
ae49b835ca01
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changeset
|
479 |
end; |
ae49b835ca01
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parents:
diff
changeset
|
480 |
|
53654
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changeset
|
481 |
fun co_dissect_eqn_ctr sequential fun_names corec_specs eqn' imp_prems imp_rhs matchedss = |
53303
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changeset
|
482 |
let |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
483 |
val (lhs, rhs) = HOLogic.dest_eq imp_rhs; |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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changeset
|
484 |
val fun_name = head_of lhs |> fst o dest_Free; |
53654
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53411
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changeset
|
485 |
val corec_spec = the (AList.lookup (op =) (fun_names ~~ corec_specs) fun_name); |
53303
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changeset
|
486 |
val (ctr, ctr_args) = strip_comb rhs; |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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parents:
diff
changeset
|
487 |
val ctr_spec = the (find_first (equal ctr o #ctr) (#ctr_specs corec_spec)) |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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changeset
|
488 |
handle Option.Option => primrec_error_eqn "not a constructor" ctr; |
53341 | 489 |
|
53303
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changeset
|
490 |
val disc_imp_rhs = betapply (#disc ctr_spec, lhs); |
53654
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
491 |
val (maybe_eqn_data_disc, matchedss') = if length (#ctr_specs corec_spec) = 1 |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
492 |
then (NONE, matchedss) |
53341 | 493 |
else apfst SOME (co_dissect_eqn_disc |
53654
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
494 |
sequential fun_names corec_specs imp_prems disc_imp_rhs matchedss); |
53303
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
495 |
|
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
496 |
val sel_imp_rhss = (#sels ctr_spec ~~ ctr_args) |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
497 |
|> 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
|
498 |
|
53360 | 499 |
val _ = tracing ("reduced\n " ^ Syntax.string_of_term @{context} imp_rhs ^ "\nto\n \<cdot> " ^ |
53341 | 500 |
(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
|
501 |
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
|
502 |
|
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
503 |
val eqns_data_sel = |
53654
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
504 |
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
|
505 |
in |
53654
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
506 |
(the_list maybe_eqn_data_disc @ eqns_data_sel, matchedss') |
53303
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
507 |
end; |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
508 |
|
53654
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
509 |
fun co_dissect_eqn sequential fun_names corec_specs eqn' matchedss = |
53303
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
510 |
let |
53654
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
511 |
val eqn = drop_All eqn' |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
512 |
handle TERM _ => primrec_error_eqn "malformed function equation" eqn'; |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
513 |
val (imp_prems, imp_rhs) = Logic.strip_horn eqn |
53341 | 514 |
|> 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
|
515 |
|
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
516 |
val head = imp_rhs |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
517 |
|> 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
|
518 |
|> head_of; |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
519 |
|
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
520 |
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
|
521 |
|
53654
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
522 |
val discs = maps #ctr_specs corec_specs |> map #disc; |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
523 |
val sels = maps #ctr_specs corec_specs |> maps #sels; |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
524 |
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
|
525 |
in |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
526 |
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
|
527 |
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
|
528 |
member (op =) (filter (null o binder_types o fastype_of) ctrs) (the maybe_rhs) then |
53654
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
529 |
co_dissect_eqn_disc sequential fun_names corec_specs imp_prems imp_rhs matchedss |
53303
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
530 |
|>> single |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
531 |
else if member (op =) sels head then |
53654
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
532 |
([co_dissect_eqn_sel fun_names corec_specs eqn' imp_rhs], matchedss) |
53303
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
533 |
else if is_Free head andalso member (op =) fun_names (fst (dest_Free head)) then |
53654
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
534 |
co_dissect_eqn_ctr sequential fun_names corec_specs eqn' imp_prems imp_rhs matchedss |
53303
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
535 |
else |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
536 |
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
|
537 |
end; |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
538 |
|
53654
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
539 |
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
|
540 |
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
|
541 |
mk_conjs prems |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
542 |
|> curry subst_bounds (List.rev fun_args) |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
543 |
|> HOLogic.tupled_lambda (HOLogic.mk_tuple fun_args) |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
544 |
|> 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
|
545 |
|
53360 | 546 |
fun build_corec_arg_no_call sel_eqns sel = find_first (equal sel o #sel) sel_eqns |
53401 | 547 |
|> try (fn SOME sel_eqn => (#fun_args sel_eqn, #rhs_term sel_eqn)) |
53360 | 548 |
|> the_default ([], undef_const) |
53411 | 549 |
|-> abs_tuple |
550 |
|> K; |
|
53360 | 551 |
|
552 |
fun build_corec_arg_direct_call lthy has_call sel_eqns sel = |
|
553 |
let |
|
53411 | 554 |
val maybe_sel_eqn = find_first (equal sel o #sel) sel_eqns; |
53654
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
555 |
fun rewrite is_end U _ t = |
53360 | 556 |
if U = @{typ bool} then @{term True} |> has_call t ? K @{term False} (* stop? *) |
53401 | 557 |
else if is_end = has_call t then undef_const |
558 |
else if is_end then t (* end *) |
|
53360 | 559 |
else HOLogic.mk_tuple (snd (strip_comb t)); (* continue *) |
53401 | 560 |
fun massage rhs_term is_end t = massage_direct_corec_call |
561 |
lthy has_call (rewrite is_end) [] (range_type (fastype_of t)) rhs_term; |
|
53360 | 562 |
in |
53401 | 563 |
if is_none maybe_sel_eqn then K I else |
564 |
abs_tuple (#fun_args (the maybe_sel_eqn)) oo massage (#rhs_term (the maybe_sel_eqn)) |
|
53360 | 565 |
end; |
566 |
||
53411 | 567 |
fun build_corec_arg_indirect_call lthy has_call sel_eqns sel = |
568 |
let |
|
569 |
val maybe_sel_eqn = find_first (equal sel o #sel) sel_eqns; |
|
570 |
fun rewrite _ _ = |
|
571 |
let |
|
572 |
fun subst (Abs (v, T, b)) = Abs (v, T, subst b) |
|
573 |
| subst (t as _ $ _) = |
|
574 |
let val (u, vs) = strip_comb t in |
|
575 |
if is_Free u andalso has_call u then |
|
576 |
Const (@{const_name Inr}, dummyT) $ (*HOLogic.mk_tuple vs*) |
|
577 |
(try (foldr1 (fn (x, y) => Const (@{const_name Pair}, dummyT) $ x $ y)) vs |
|
578 |
|> the_default (hd vs)) |
|
579 |
else if try (fst o dest_Const) u = SOME @{const_name prod_case} then |
|
580 |
list_comb (u |> map_types (K dummyT), map subst vs) |
|
581 |
else |
|
582 |
list_comb (subst u, map subst vs) |
|
583 |
end |
|
584 |
| subst t = t; |
|
585 |
in |
|
586 |
subst |
|
587 |
end; |
|
588 |
fun massage rhs_term t = massage_indirect_corec_call |
|
589 |
lthy has_call rewrite [] (fastype_of t |> range_type) rhs_term; |
|
590 |
in |
|
591 |
if is_none maybe_sel_eqn then I else |
|
592 |
abs_tuple (#fun_args (the maybe_sel_eqn)) o massage (#rhs_term (the maybe_sel_eqn)) |
|
593 |
end; |
|
53360 | 594 |
|
595 |
fun build_corec_args_sel lthy has_call all_sel_eqns ctr_spec = |
|
53341 | 596 |
let val sel_eqns = filter (equal (#ctr ctr_spec) o #ctr) all_sel_eqns in |
597 |
if null sel_eqns then I else |
|
598 |
let |
|
599 |
val sel_call_list = #sels ctr_spec ~~ #calls ctr_spec; |
|
600 |
||
601 |
val no_calls' = map_filter (try (apsnd (fn No_Corec n => n))) sel_call_list; |
|
602 |
val direct_calls' = map_filter (try (apsnd (fn Direct_Corec n => n))) sel_call_list; |
|
603 |
val indirect_calls' = map_filter (try (apsnd (fn Indirect_Corec n => n))) sel_call_list; |
|
604 |
in |
|
53360 | 605 |
I |
606 |
#> fold (fn (sel, n) => nth_map n |
|
53411 | 607 |
(build_corec_arg_no_call sel_eqns sel)) no_calls' |
53360 | 608 |
#> fold (fn (sel, (q, g, h)) => |
609 |
let val f = build_corec_arg_direct_call lthy has_call sel_eqns sel in |
|
53401 | 610 |
nth_map h (f false) o nth_map g (f true) o nth_map q (f true) end) direct_calls' |
53360 | 611 |
#> fold (fn (sel, n) => nth_map n |
53411 | 612 |
(build_corec_arg_indirect_call lthy has_call sel_eqns sel)) indirect_calls' |
53341 | 613 |
end |
53303
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
614 |
end; |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
615 |
|
53654
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
616 |
fun mk_real_disc_eqns ctr_specs disc_eqns = |
53303
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
617 |
let |
53654
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
618 |
val real_disc_eqns = |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
619 |
if length disc_eqns = 0 then disc_eqns |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
620 |
else if length disc_eqns = length ctr_specs - 1 then |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
621 |
let |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
622 |
val n = 0 upto length ctr_specs |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
623 |
|> the(*###*) o find_first (fn idx => not (exists (equal idx o #ctr_no) disc_eqns)); |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
624 |
val extra_disc_eqn = { |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
625 |
fun_name = #fun_name (hd disc_eqns), |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
626 |
fun_args = #fun_args (hd disc_eqns), |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
627 |
ctr_no = n, |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
628 |
prems = maps (invert_prems o #prems) disc_eqns, |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
629 |
user_eqn = Const (@{const_name undefined}, dummyT)}; |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
630 |
in |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
631 |
chop n disc_eqns ||> cons extra_disc_eqn |> (op @) |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
632 |
end |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
633 |
else disc_eqns; |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
634 |
in |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
635 |
real_disc_eqns |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
636 |
end; |
53303
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
637 |
|
53654
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
638 |
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
|
639 |
let |
53303
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
640 |
val _ = disc_eqnss |> map (fn x => |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
641 |
let val d = duplicates ((op =) o pairself #ctr_no) x in null d orelse |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
642 |
primrec_error_eqns "excess discriminator equations in definition" |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
643 |
(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
|
644 |
val corec_specs' = take (length bs) corec_specs; |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
645 |
val corecs = map #corec corec_specs'; |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
646 |
val ctr_specss = map #ctr_specs corec_specs'; |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
647 |
val real_disc_eqnss = map2 mk_real_disc_eqns ctr_specss disc_eqnss; |
53360 | 648 |
val corec_args = hd corecs |
649 |
|> fst o split_last o binder_types o fastype_of |
|
650 |
|> map (Const o pair @{const_name undefined}) |
|
53654
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
651 |
|> fold2 (fold o build_corec_arg_disc) ctr_specss real_disc_eqnss |
53360 | 652 |
|> fold2 (fold o build_corec_args_sel lthy has_call) sel_eqnss ctr_specss; |
53401 | 653 |
fun currys Ts t = if length Ts <= 1 then t else |
654 |
t $ foldr1 (fn (u, v) => HOLogic.pair_const dummyT dummyT $ u $ v) |
|
655 |
(length Ts - 1 downto 0 |> map Bound) |
|
656 |
|> fold_rev (fn T => fn u => Abs (Name.uu, T, u)) Ts; |
|
657 |
||
53360 | 658 |
val _ = tracing ("corecursor arguments:\n \<cdot> " ^ |
53411 | 659 |
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
|
660 |
|
53654
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
661 |
val exclss' = |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
662 |
real_disc_eqnss |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
663 |
|> 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
|
664 |
#> 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
|
665 |
#> maps (uncurry (map o pair) |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
666 |
#> 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
|
667 |
||> apfst (map HOLogic.mk_Trueprop) o apsnd HOLogic.mk_Trueprop |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
668 |
||> Logic.list_implies |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
669 |
||> 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
|
670 |
in |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
671 |
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
|
672 |
|> 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
|
673 |
|> map2 currys arg_Tss |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
674 |
|> Syntax.check_terms lthy |
53352 | 675 |
|> 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
|
676 |
|> rpair exclss' |
53303
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
677 |
end; |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
678 |
|
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
679 |
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
|
680 |
let |
53352 | 681 |
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
|
682 |
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
|
683 |
|
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
684 |
(* copied from primrec_new *) |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
685 |
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
|
686 |
|> 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
|
687 |
|> map_filter I; |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
688 |
|
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
689 |
val callssss = []; (* FIXME *) |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
690 |
|
53654
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
691 |
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
|
692 |
strong_coinduct_thmss), lthy') = |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
693 |
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
|
694 |
|
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
695 |
val fun_names = map Binding.name_of bs; |
53654
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
696 |
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
|
697 |
|
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
698 |
val (eqns_data, _) = |
53654
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
699 |
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
|
700 |
|>> flat; |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
701 |
|
53654
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
702 |
val disc_eqnss = map_filter (try (fn Disc x => x)) eqns_data |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
703 |
|> partition_eq ((op =) o pairself #fun_name) |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
704 |
|> finds (fn (x, ({fun_name, ...} :: _)) => x = fun_name) fun_names |> fst |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
705 |
|> map (sort ((op <) o pairself #ctr_no |> make_ord) o flat o snd); |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
706 |
|
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
707 |
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
|
708 |
|> partition_eq ((op =) o pairself #fun_name) |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
709 |
|> finds (fn (x, ({fun_name, ...} :: _)) => x = fun_name) fun_names |> fst |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
710 |
|> map (flat o snd); |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
711 |
|
53360 | 712 |
val has_call = exists_subterm (map (fst #>> Binding.name_of #> Free) fixes |> member (op =)); |
713 |
val arg_Tss = map (binder_types o snd o fst) fixes; |
|
53654
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
714 |
val (defs, exclss') = |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
715 |
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
|
716 |
|
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
717 |
(* try to prove (automatically generated) tautologies by ourselves *) |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
718 |
val exclss'' = exclss' |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
719 |
|> map (map (apsnd |
53699 | 720 |
(`(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
|
721 |
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
|
722 |
val (obligation_idxss, obligationss) = exclss'' |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
723 |
|> 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
|
724 |
|> split_list o map split_list; |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
725 |
|
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
726 |
fun prove thmss' def_thms' lthy = |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
727 |
let |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
728 |
val def_thms = map (snd o snd) def_thms'; |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
729 |
|
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
730 |
val exclss' = map (op ~~) (obligation_idxss ~~ thmss'); |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
731 |
fun mk_exclsss excls n = |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
732 |
(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
|
733 |
|-> 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
|
734 |
val exclssss = (exclss' ~~ taut_thmss |> map (op @), fun_names ~~ corec_specs) |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
735 |
|-> 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
|
736 |
|
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
737 |
fun prove_disc {ctr_specs, ...} exclsss |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
738 |
{fun_name, fun_args, ctr_no, prems, ...} = |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
739 |
let |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
740 |
val disc_corec = nth ctr_specs ctr_no |> #disc_corec; |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
741 |
val k = 1 + ctr_no; |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
742 |
val m = length prems; |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
743 |
val t = |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
744 |
(* FIXME use applied_fun from dissect_\<dots> instead? *) |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
745 |
list_comb (Free (fun_name, dummyT), map Bound (length fun_args - 1 downto 0)) |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
746 |
|> curry betapply (#disc (nth ctr_specs ctr_no)) (*###*) |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
747 |
|> HOLogic.mk_Trueprop |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
748 |
|> curry Logic.list_implies (map HOLogic.mk_Trueprop prems) |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
749 |
|> curry Logic.list_all (map dest_Free fun_args) |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
750 |
|> Syntax.check_term lthy(*###*); |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
751 |
in |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
752 |
mk_primcorec_disc_tac lthy def_thms disc_corec k m exclsss |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
753 |
|> K |> Goal.prove lthy [] [] t |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
754 |
end; |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
755 |
|
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
756 |
(* FIXME don't use user_eqn (cf. constructor view reduction), |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
757 |
instead generate "sel" and "code" theorems ourselves *) |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
758 |
fun prove_sel |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
759 |
((fun_name, {ctr_specs, nested_maps, nested_map_idents, nested_map_comps, ...}), |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
760 |
disc_eqns) exclsss sel_eqn = |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
761 |
let |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
762 |
val (SOME ctr_spec) = find_first (equal (#ctr sel_eqn) o #ctr) ctr_specs; |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
763 |
val ctr_no = find_index (equal (#ctr sel_eqn) o #ctr) ctr_specs; |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
764 |
val prems = the_default (maps (invert_prems o #prems) disc_eqns) |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
765 |
(find_first (equal ctr_no o #ctr_no) disc_eqns |> Option.map #prems); |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
766 |
val sel_corec = find_index (equal (#sel sel_eqn)) (#sels ctr_spec) |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
767 |
|> nth (#sel_corecs ctr_spec); |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
768 |
val k = 1 + ctr_no; |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
769 |
val m = length prems; |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
770 |
val t = #user_eqn sel_eqn |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
771 |
|> abstract 0 (List.rev (#fun_args sel_eqn)) (* FIXME do this in dissect_\<dots> *) |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
772 |
|> curry Logic.list_implies (map HOLogic.mk_Trueprop prems) |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
773 |
|> curry Logic.list_all (map dest_Free (#fun_args sel_eqn)); |
8b9ea4420f81
prove simp theorems for newly generated definitions
panny
parents:
53411
diff
changeset
|
774 |
in |
53692 | 775 |
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
|
776 |
nested_maps nested_map_idents nested_map_comps |
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|
777 |
|> K |> Goal.prove lthy [] [] t |
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|
778 |
end; |
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panny
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diff
changeset
|
779 |
|
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|
780 |
val disc_notes = |
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|
781 |
fun_names ~~ |
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|
782 |
map3 (map oo prove_disc) (take (length disc_eqnss) corec_specs) exclssss disc_eqnss |
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|
783 |
|> map (fn (fun_name, thms) => |
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|
784 |
((Binding.qualify true fun_name (@{binding disc}), simp_attrs), [(thms, [])])); |
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|
785 |
val sel_notes = |
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|
786 |
fun_names ~~ |
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prove simp theorems for newly generated definitions
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changeset
|
787 |
map3 (map oo prove_sel) (fun_names ~~ corec_specs ~~ disc_eqnss) exclssss sel_eqnss |
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|
788 |
|> map (fn (fun_name, thms) => |
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|
789 |
((Binding.qualify true fun_name (@{binding sel}), simp_attrs), [(thms, [])])); |
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changeset
|
790 |
in |
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|
791 |
lthy |> snd o Local_Theory.notes (disc_notes @ sel_notes) |
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|
792 |
end; |
53303
ae49b835ca01
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blanchet
parents:
diff
changeset
|
793 |
in |
ae49b835ca01
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blanchet
parents:
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changeset
|
794 |
lthy' |
53654
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|
795 |
|> Proof.theorem NONE (curry (op #->) (fold_map Local_Theory.define defs) o prove) obligationss |
53303
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|
796 |
|> Proof.refine (Method.primitive_text I) |
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|
797 |
|> Seq.hd |
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|
798 |
end |
ae49b835ca01
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blanchet
parents:
diff
changeset
|
799 |
|
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
800 |
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
|
801 |
let |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
802 |
val (fixes, specs) = fst (Specification.read_spec raw_fixes raw_specs lthy); |
ae49b835ca01
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blanchet
parents:
diff
changeset
|
803 |
in |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
804 |
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
|
805 |
handle ERROR str => primrec_error str |
ae49b835ca01
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blanchet
parents:
diff
changeset
|
806 |
end |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
807 |
handle Primrec_Error (str, eqns) => |
ae49b835ca01
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blanchet
parents:
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|
808 |
if null eqns |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
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parents:
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|
809 |
then error ("primcorec error:\n " ^ str) |
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
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|
810 |
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
|
811 |
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
|
812 |
|
ae49b835ca01
moved files related to "primrec_new", "primcorec", and "datatype_compat" from bitbucket co-rec repository
blanchet
parents:
diff
changeset
|
813 |
end; |