Nominal/Parser.thy
changeset 1424 7e28654a760a
parent 1422 a26cb19375e8
child 1428 4029105011ca
equal deleted inserted replaced
1423:d59f851926c5 1424:7e28654a760a
   251   ||>> pair raw_binds
   251   ||>> pair raw_binds
   252   ||>> pair raw_bns
   252   ||>> pair raw_bns
   253 end
   253 end
   254 *}
   254 *}
   255 
   255 
   256 ML {* add_primrec_wrapper *}
   256 ML {*
       
   257 fun un_raw name = unprefix "_raw" name handle Fail _ => name
       
   258 fun add_under names = hd names :: (map (prefix "_") (tl names))
       
   259 fun un_raws name = implode (map un_raw (add_under (space_explode "_" name)))
       
   260 val un_raw_names = rename_vars un_raws
       
   261 fun lift_thm ctxt thm = un_raw_names (snd (Quotient_Tacs.lifted_attrib (Context.Proof ctxt, thm)))
       
   262 *}
   257 
   263 
   258 lemma equivp_hack: "equivp x"
   264 lemma equivp_hack: "equivp x"
   259 sorry
   265 sorry
   260 ML {*
   266 ML {*
   261 fun equivp_hack ctxt rel =
   267 fun equivp_hack ctxt rel =
   267 in
   273 in
   268   Drule.instantiate' [SOME cty] [SOME ct] @{thm equivp_hack}
   274   Drule.instantiate' [SOME cty] [SOME ct] @{thm equivp_hack}
   269 end
   275 end
   270 *}
   276 *}
   271 
   277 
   272 ML {* val restricted_nominal=ref 0 *}
   278 (* These 2 are critical, we don't know how to do it in term5 *)
   273 ML {* val cheat_alpha_eqvt = ref true *}
   279 ML {* val cheat_fv_rsp = ref true *}
       
   280 ML {* val cheat_const_rsp = ref true *} (* For alpha_bn 0 and alpha_bn_rsp *)
       
   281 
       
   282 (* Fixes for these 2 are known *)
       
   283 ML {* val cheat_fv_eqvt = ref true *} (* The tactic works, building the goal needs fixing *)
       
   284 ML {* val cheat_alpha_eqvt = ref true *} (* The tactic works, building the goal needs fixing *)
   274 
   285 
   275 ML {*
   286 ML {*
   276 fun nominal_datatype2 dts bn_funs bn_eqs binds lthy =
   287 fun nominal_datatype2 dts bn_funs bn_eqs binds lthy =
   277 let
   288 let
   278   val thy = ProofContext.theory_of lthy
   289   val thy = ProofContext.theory_of lthy
   300   val ((raw_perm_def, raw_perm_simps, perms), lthy3) =
   311   val ((raw_perm_def, raw_perm_simps, perms), lthy3) =
   301     Local_Theory.theory_result (define_raw_perms dtinfo (length dts)) lthy2;
   312     Local_Theory.theory_result (define_raw_perms dtinfo (length dts)) lthy2;
   302   val raw_binds_flat = map (map flat) raw_binds;
   313   val raw_binds_flat = map (map flat) raw_binds;
   303   val (((fv_ts_loc, fv_def_loc), alpha), lthy4) = define_fv_alpha dtinfo raw_binds_flat bn_funs_decls lthy3;
   314   val (((fv_ts_loc, fv_def_loc), alpha), lthy4) = define_fv_alpha dtinfo raw_binds_flat bn_funs_decls lthy3;
   304   val alpha_ts_loc = #preds alpha
   315   val alpha_ts_loc = #preds alpha
       
   316   val alpha_ts_loc_nobn = List.take (alpha_ts_loc, length perms)
   305   val morphism_4_3 = ProofContext.export_morphism lthy4 lthy3;
   317   val morphism_4_3 = ProofContext.export_morphism lthy4 lthy3;
   306   val fv_ts = map (Morphism.term morphism_4_3) fv_ts_loc;
   318   val fv_ts = map (Morphism.term morphism_4_3) fv_ts_loc;
       
   319   val fv_ts_loc_nobn = List.take (fv_ts_loc, length perms)
       
   320   val fv_ts_nobn = List.take (fv_ts, length perms)
   307   val alpha_ts = map (Morphism.term morphism_4_3) alpha_ts_loc;
   321   val alpha_ts = map (Morphism.term morphism_4_3) alpha_ts_loc;
       
   322   val (alpha_ts_nobn, alpha_ts_bn) = chop (length perms) alpha_ts
   308   val alpha_induct_loc = #induct alpha
   323   val alpha_induct_loc = #induct alpha
   309   val [alpha_induct] = ProofContext.export lthy4 lthy3 [alpha_induct_loc];
   324   val [alpha_induct] = ProofContext.export lthy4 lthy3 [alpha_induct_loc];
   310   val alpha_inducts = Project_Rule.projects lthy4 (1 upto (length dts)) alpha_induct
   325   val alpha_inducts = Project_Rule.projects lthy4 (1 upto (length dts)) alpha_induct
   311   val fv_def = ProofContext.export lthy4 lthy3 fv_def_loc;
   326   val fv_def = ProofContext.export lthy4 lthy3 fv_def_loc;
   312   val dts_names = map (fn (i, (s, _, _)) => (s, i)) (#descr dtinfo);
   327   val dts_names = map (fn (i, (s, _, _)) => (s, i)) (#descr dtinfo);
   319   val alpha_inj_loc = build_alpha_inj alpha_intros (inject @ distinct) alpha_cases_loc lthy4
   334   val alpha_inj_loc = build_alpha_inj alpha_intros (inject @ distinct) alpha_cases_loc lthy4
   320   val alpha_inj = ProofContext.export lthy4 lthy3 alpha_inj_loc
   335   val alpha_inj = ProofContext.export lthy4 lthy3 alpha_inj_loc
   321   fun alpha_eqvt_tac' _ =
   336   fun alpha_eqvt_tac' _ =
   322     if !cheat_alpha_eqvt then Skip_Proof.cheat_tac thy
   337     if !cheat_alpha_eqvt then Skip_Proof.cheat_tac thy
   323     else alpha_eqvt_tac alpha_induct_loc (raw_perm_def @ alpha_inj_loc) lthy4 1
   338     else alpha_eqvt_tac alpha_induct_loc (raw_perm_def @ alpha_inj_loc) lthy4 1
   324   val alpha_eqvt_loc = build_alpha_eqvts (List.take (alpha_ts_loc, length perms)) perms alpha_eqvt_tac' lthy4;
   339   val alpha_eqvt_loc = build_alpha_eqvts alpha_ts_loc_nobn perms alpha_eqvt_tac' lthy4;
   325   val alpha_eqvt = ProofContext.export lthy4 lthy2 alpha_eqvt_loc;
   340   val alpha_eqvt = ProofContext.export lthy4 lthy2 alpha_eqvt_loc;
   326 in
   341   val (bv_eqvts, lthy5) = fold_map (build_bv_eqvt (raw_bn_eqs @ raw_perm_def) inducts) bns lthy4;
   327 if !restricted_nominal = 0 then
   342   val fv_eqvt_tac =
   328   ((raw_dt_names, raw_bn_funs, raw_bn_eqs, raw_binds), lthy4)
   343     if !cheat_fv_eqvt then (fn _ => fn _ => Skip_Proof.cheat_tac thy)
   329 else
   344     else build_eqvts_tac induct ((flat (map snd bv_eqvts)) @ fv_def_loc @ raw_perm_def) lthy5
   330 let
   345   val (fv_eqvts, lthy6) = build_eqvts Binding.empty fv_ts_loc fv_eqvt_tac lthy5;
   331   val (bv_eqvts, lthy5) = fold_map (build_bv_eqvt perms (raw_bn_eqs @ raw_perm_def) inducts) bns lthy4;
       
   332   val (fv_eqvts, lthy6) = build_eqvts Binding.empty fv_ts_loc perms
       
   333     ((flat (map snd bv_eqvts)) @ fv_def_loc @ raw_perm_def) induct lthy5;
       
   334   val raw_fv_bv_eqvt_loc = flat (map snd bv_eqvts) @ (snd fv_eqvts)
   346   val raw_fv_bv_eqvt_loc = flat (map snd bv_eqvts) @ (snd fv_eqvts)
   335   val raw_fv_bv_eqvt = ProofContext.export lthy6 lthy3 raw_fv_bv_eqvt_loc;
   347   val raw_fv_bv_eqvt = ProofContext.export lthy6 lthy3 raw_fv_bv_eqvt_loc;
   336   val alpha_equivp_loc = map (equivp_hack lthy6) alpha_ts_loc
   348   val alpha_equivp_loc = map (equivp_hack lthy6) alpha_ts_loc_nobn
   337   val alpha_equivp_loc = build_equivps alpha_ts_loc induct alpha_induct_loc
   349 (*  val alpha_equivp_loc = build_equivps alpha_ts_loc induct alpha_induct_loc
   338     inject alpha_inj_loc distinct alpha_cases_loc alpha_eqvt_loc lthy6;
   350     inject alpha_inj_loc distinct alpha_cases_loc alpha_eqvt_loc lthy6;*)
   339   val alpha_equivp = ProofContext.export lthy6 lthy2 alpha_equivp_loc;
   351   val alpha_equivp = ProofContext.export lthy6 lthy2 alpha_equivp_loc;
   340   val qty_binds = map (fn (_, b, _, _) => b) dts;
   352   val qty_binds = map (fn (_, b, _, _) => b) dts;
   341   val qty_names = map Name.of_binding qty_binds;
   353   val qty_names = map Name.of_binding qty_binds;
   342   val qty_full_names = map (Long_Name.qualify thy_name) qty_names
   354   val qty_full_names = map (Long_Name.qualify thy_name) qty_names
   343   val lthy7 = define_quotient_type
   355   val lthy7 = define_quotient_type
   344     (map (fn ((b, t), alpha) => (([], b, NoSyn), (t, alpha))) ((qty_binds ~~ all_typs) ~~ alpha_ts))
   356     (map (fn ((b, t), alpha) => (([], b, NoSyn), (t, alpha))) ((qty_binds ~~ all_typs) ~~ alpha_ts_nobn))
   345     (ALLGOALS (resolve_tac alpha_equivp)) lthy6;
   357     (ALLGOALS (resolve_tac alpha_equivp)) lthy6;
   346   val const_names = map Name.of_binding (flat (map (fn (_, _, _, t) => map (fn (b, _, _) => b) t) dts));
   358   val const_names = map Name.of_binding (flat (map (fn (_, _, _, t) => map (fn (b, _, _) => b) t) dts));
   347   val raw_consts =
   359   val raw_consts =
   348     flat (map (fn (i, (_, _, l)) =>
   360     flat (map (fn (i, (_, _, l)) =>
   349       map (fn (cname, dts) =>
   361       map (fn (cname, dts) =>
   350         Const (cname, map (typ_of_dtyp descr sorts) dts --->
   362         Const (cname, map (typ_of_dtyp descr sorts) dts --->
   351           typ_of_dtyp descr sorts (DtRec i))) l) descr);
   363           typ_of_dtyp descr sorts (DtRec i))) l) descr);
   352   val (consts_defs, lthy8) = fold_map Quotient_Def.quotient_lift_const (const_names ~~ raw_consts) lthy7;
   364   val (consts_defs, lthy8) = fold_map Quotient_Def.quotient_lift_const (const_names ~~ raw_consts) lthy7;
   353   val (consts, const_defs) = split_list consts_defs;
   365   val (consts, const_defs) = split_list consts_defs;
   354 in
       
   355 if !restricted_nominal = 1 then
       
   356   ((raw_dt_names, raw_bn_funs, raw_bn_eqs, raw_binds), lthy8)
       
   357 else
       
   358 let
       
   359   val (bns_rsp_pre, lthy9) = fold_map (
   366   val (bns_rsp_pre, lthy9) = fold_map (
   360     fn (bn_t, i) => prove_const_rsp Binding.empty [bn_t]
   367     fn (bn_t, i) => prove_const_rsp Binding.empty [bn_t]
   361       (fn _ => fvbv_rsp_tac (nth alpha_inducts i) raw_bn_eqs 1)) bns lthy8;
   368       (fn _ => fvbv_rsp_tac (nth alpha_inducts i) raw_bn_eqs 1)) bns lthy8;
   362   val bns_rsp = flat (map snd bns_rsp_pre);
   369   val bns_rsp = flat (map snd bns_rsp_pre);
   363   val ((_, fv_rsp), lthy10) = prove_const_rsp Binding.empty fv_ts
   370   fun fv_rsp_tac _ = if !cheat_fv_rsp then Skip_Proof.cheat_tac thy
   364     (fn _ => fvbv_rsp_tac alpha_induct fv_def 1) lthy9;
   371     else fvbv_rsp_tac alpha_induct fv_def 1;
   365   val (const_rsps, lthy11) = fold_map (fn cnst => prove_const_rsp Binding.empty [cnst]
   372   val ((_, fv_rsp), lthy10) = prove_const_rsp Binding.empty fv_ts fv_rsp_tac lthy9
   366     (fn _ => constr_rsp_tac alpha_inj (fv_rsp @ bns_rsp) alpha_equivp 1)) raw_consts lthy10
   373   val (perms_rsp, lthy11) = prove_const_rsp Binding.empty perms
   367   val (perms_rsp, lthy12) = prove_const_rsp Binding.empty perms
   374     (fn _ => asm_simp_tac (HOL_ss addsimps alpha_eqvt) 1) lthy10;
   368     (fn _ => asm_simp_tac (HOL_ss addsimps alpha_eqvt) 1) lthy11;
   375   fun const_rsp_tac _ = if !cheat_const_rsp then Skip_Proof.cheat_tac thy
   369   val qfv_names = map (fn x => "fv_" ^ x) qty_names
   376     else constr_rsp_tac alpha_inj (fv_rsp @ bns_rsp) alpha_equivp 1
       
   377   val (const_rsps, lthy12) = fold_map (fn cnst => prove_const_rsp Binding.empty [cnst]
       
   378     const_rsp_tac) (raw_consts @ alpha_ts_bn) lthy11
       
   379   val qfv_names = map (unsuffix "_raw" o Long_Name.base_name o fst o dest_Const) fv_ts
   370   val (qfv_defs, lthy12a) = fold_map Quotient_Def.quotient_lift_const (qfv_names ~~ fv_ts) lthy12;
   380   val (qfv_defs, lthy12a) = fold_map Quotient_Def.quotient_lift_const (qfv_names ~~ fv_ts) lthy12;
   371   val qbn_names = map (fn (b, _ , _) => Name.of_binding b) bn_funs
   381   val qbn_names = map (fn (b, _ , _) => Name.of_binding b) bn_funs
   372   val (qbn_defs, lthy12b) = fold_map Quotient_Def.quotient_lift_const (qbn_names ~~ raw_bn_funs) lthy12a;
   382   val (qbn_defs, lthy12b) = fold_map Quotient_Def.quotient_lift_const (qbn_names ~~ raw_bn_funs) lthy12a;
   373   val thy = Local_Theory.exit_global lthy12b;
   383   val qalpha_bn_names = map (unsuffix "_raw" o Long_Name.base_name o fst o dest_Const) alpha_ts_bn
       
   384   val (qbn_defs, lthy12c) = fold_map Quotient_Def.quotient_lift_const (qalpha_bn_names ~~ alpha_ts_bn) lthy12b;
       
   385   val thy = Local_Theory.exit_global lthy12c;
   374   val perm_names = map (fn x => "permute_" ^ x) qty_names
   386   val perm_names = map (fn x => "permute_" ^ x) qty_names
   375   val thy' = define_lifted_perms qty_full_names (perm_names ~~ perms) raw_perm_simps thy;
   387   val thy' = define_lifted_perms qty_full_names (perm_names ~~ perms) raw_perm_simps thy;
   376   val lthy13 = Theory_Target.init NONE thy';
   388   val lthy13 = Theory_Target.init NONE thy';
   377   val q_name = space_implode "_" qty_names;
   389   val q_name = space_implode "_" qty_names;
   378   val q_induct = snd (Quotient_Tacs.lifted_attrib (Context.Proof lthy13, induct));
   390   val q_induct = lift_thm lthy13 induct;
   379   val (_, lthy14) = Local_Theory.note ((Binding.name (q_name ^ "_induct"), []), [q_induct]) lthy13;
   391   val (_, lthy14) = Local_Theory.note ((Binding.name (q_name ^ "_induct"), []), [q_induct]) lthy13;
   380   val q_perm = map (fn th => snd (Quotient_Tacs.lifted_attrib (Context.Proof lthy14, th))) raw_perm_def;
   392   val q_perm = map (lift_thm lthy14) raw_perm_def;
   381   val (_, lthy15) = Local_Theory.note ((Binding.name (q_name ^ "_perm"), []), q_perm) lthy14;
   393   val (_, lthy15) = Local_Theory.note ((Binding.name (q_name ^ "_perm"), []), q_perm) lthy14;
   382   val q_fv = map (fn th => snd (Quotient_Tacs.lifted_attrib (Context.Proof lthy15, th))) fv_def;
   394   val q_fv = map (lift_thm lthy15) fv_def;
   383   val (_, lthy16) = Local_Theory.note ((Binding.name (q_name ^ "_fv"), []), q_fv) lthy15;
   395   val (_, lthy16) = Local_Theory.note ((Binding.name (q_name ^ "_fv"), []), q_fv) lthy15;
   384   val q_bn = map (fn th => snd (Quotient_Tacs.lifted_attrib (Context.Proof lthy16, th))) raw_bn_eqs;
   396   val q_bn = map (lift_thm lthy16) raw_bn_eqs;
   385   val (_, lthy17) = Local_Theory.note ((Binding.name (q_name ^ "_bn"), []), q_bn) lthy16;
   397   val (_, lthy17) = Local_Theory.note ((Binding.name (q_name ^ "_bn"), []), q_bn) lthy16;
   386   val inj_unfolded = map (Local_Defs.unfold lthy17 @{thms alpha_gen}) alpha_inj
   398   val inj_unfolded = map (Local_Defs.unfold lthy17 @{thms alpha_gen}) alpha_inj
   387   val q_inj_pre = map (fn th => snd (Quotient_Tacs.lifted_attrib (Context.Proof lthy17, th))) inj_unfolded;
   399   val q_inj_pre = map (lift_thm lthy17) inj_unfolded;
   388   val q_inj = map (Local_Defs.fold lthy17 @{thms alpha_gen}) q_inj_pre
   400   val q_inj = map (Local_Defs.fold lthy17 @{thms alpha_gen}) q_inj_pre
   389   val (_, lthy18) = Local_Theory.note ((Binding.name (q_name ^ "_inject"), []), q_inj) lthy17;
   401   val (_, lthy18) = Local_Theory.note ((Binding.name (q_name ^ "_inject"), []), q_inj) lthy17;
   390   val rel_dists = flat (map (distinct_rel lthy18 alpha_cases)
   402   val rel_dists = flat (map (distinct_rel lthy18 alpha_cases)
   391     (rel_distinct ~~ (List.take (alpha_ts, (length dts)))))
   403     (rel_distinct ~~ (List.take (alpha_ts, (length dts)))))
   392   val q_dis = map (fn th => snd (Quotient_Tacs.lifted_attrib (Context.Proof lthy18, th))) rel_dists;
   404   val q_dis = map (lift_thm lthy18) rel_dists;
   393   val (_, lthy19) = Local_Theory.note ((Binding.name (q_name ^ "_distinct"), []), q_dis) lthy18;
   405   val (_, lthy19) = Local_Theory.note ((Binding.name (q_name ^ "_distinct"), []), q_dis) lthy18;
   394   val q_eqvt = map (fn th => snd (Quotient_Tacs.lifted_attrib (Context.Proof lthy19, th))) raw_fv_bv_eqvt;
   406   val q_eqvt = map (lift_thm lthy19) raw_fv_bv_eqvt;
   395   val (_, lthy20) = Local_Theory.note ((Binding.empty,
   407   val (_, lthy20) = Local_Theory.note ((Binding.empty,
   396     [Attrib.internal (fn _ => Nominal_ThmDecls.eqvt_add)]), q_eqvt) lthy19;
   408     [Attrib.internal (fn _ => Nominal_ThmDecls.eqvt_add)]), q_eqvt) lthy19;
   397 in
   409 in
   398   ((raw_dt_names, raw_bn_funs, raw_bn_eqs, raw_binds), lthy20)
   410   ((raw_dt_names, raw_bn_funs, raw_bn_eqs, raw_binds), lthy20)
   399 end
   411 end
   400 end
   412 *}
   401 end
   413 
   402 *}
       
   403 
   414 
   404 ML {* 
   415 ML {* 
   405 (* parsing the datatypes and declaring *)
   416 (* parsing the datatypes and declaring *)
   406 (* constructors in the local theory    *)
   417 (* constructors in the local theory    *)
   407 fun prepare_dts dt_strs lthy = 
   418 fun prepare_dts dt_strs lthy =