author | desharna |
Tue, 21 Oct 2014 17:23:11 +0200 | |
changeset 58732 | 854eed6e5aed |
parent 58676 | cdf84b6e1297 |
child 58734 | 20235f0512e2 |
permissions | -rw-r--r-- |
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(* Title: HOL/Tools/BNF/bnf_lfp_basic_sugar.ML |
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Author: Jasmin Blanchette, TU Muenchen |
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Copyright 2014 |
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58353 | 5 |
Registration of basic types as BNF least fixpoints (datatypes). |
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*) |
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structure BNF_LFP_Basic_Sugar : sig end = |
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struct |
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open Ctr_Sugar |
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open BNF_Util |
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open BNF_Def |
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open BNF_Comp |
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open BNF_FP_Rec_Sugar_Util |
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open BNF_FP_Util |
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open BNF_FP_Def_Sugar |
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fun trivial_absT_info_of fpT = |
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{absT = fpT, |
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repT = fpT, |
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abs = Const (@{const_name id_bnf}, fpT --> fpT), |
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rep = Const (@{const_name id_bnf}, fpT --> fpT), |
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abs_inject = @{thm type_definition.Abs_inject[OF type_definition_id_bnf_UNIV UNIV_I UNIV_I]}, |
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abs_inverse = @{thm type_definition.Abs_inverse[OF type_definition_id_bnf_UNIV UNIV_I]}, |
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type_definition = @{thm type_definition_id_bnf_UNIV}}; |
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fun the_frozen_ctr_sugar_of ctxt fpT_name = |
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the (ctr_sugar_of ctxt fpT_name) |
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|> morph_ctr_sugar (Morphism.typ_morphism "BNF" Logic.unvarifyT_global |
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$> Morphism.term_morphism "BNF" (Term.map_types Logic.unvarifyT_global)); |
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fun trivial_fp_result_of fp_bnf fpT C xtor_map xtor_sets xtor_rel ctor_rec_o_map xtor_rel_induct = |
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{Ts = [fpT], |
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bnfs = [fp_bnf], |
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ctors = [Const (@{const_name xtor}, fpT --> fpT)], |
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dtors = [Const (@{const_name xtor}, fpT --> fpT)], |
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xtor_co_recs = [Const (@{const_name ctor_rec}, (fpT --> C) --> (fpT --> C))], |
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xtor_co_induct = @{thm xtor_induct}, |
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dtor_ctors = @{thms xtor_xtor}, |
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ctor_dtors = @{thms xtor_xtor}, |
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ctor_injects = @{thms xtor_inject}, |
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dtor_injects = @{thms xtor_inject}, |
58583 | 44 |
xtor_maps = [xtor_map], |
58584 | 45 |
xtor_setss = [xtor_sets], |
58585 | 46 |
xtor_rels = [xtor_rel], |
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xtor_co_rec_thms = [map_id0_of_bnf fp_bnf RS @{thm ctor_rec}], |
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xtor_co_rec_o_maps = [ctor_rec_o_map], |
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xtor_rel_co_induct = xtor_rel_induct, |
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dtor_set_inducts = [], |
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xtor_co_rec_transfers = []}; |
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fun fp_sugar_of_sum ctxt = |
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let |
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val fpT as Type (fpT_name, As) = @{typ "'a + 'b"}; |
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val fpBT = @{typ "'c + 'd"}; |
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val C = @{typ 'e}; |
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val X = @{typ 'sum}; |
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val ctr_Tss = map single As; |
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val fp_bnf = the (bnf_of ctxt fpT_name); |
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val xtor_map = @{thm xtor_map[of "map_sum f1 f2" for f1 f2]}; |
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val xtor_sets = @{thms xtor_set[of setl] xtor_set[of setr]}; |
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val xtor_rel = @{thm xtor_rel[of "rel_sum R1 R2" for R1 R2]}; |
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val ctor_rec_o_map = @{thm ctor_rec_o_map[of _ "map_sum g1 g2" for g1 g2]}; |
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val xtor_rel_induct = @{thm xtor_rel_induct[of "rel_sum R1 R2" for R1 R2]}; |
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in |
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{T = fpT, |
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BT = fpBT, |
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X = X, |
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fp = Least_FP, |
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fp_res_index = 0, |
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fp_res = |
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trivial_fp_result_of fp_bnf fpT C xtor_map xtor_sets xtor_rel ctor_rec_o_map xtor_rel_induct, |
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pre_bnf = ID_bnf (*wrong*), |
58674 | 76 |
fp_bnf = fp_bnf, |
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absT_info = trivial_absT_info_of fpT, |
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fp_nesting_bnfs = [], |
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live_nesting_bnfs = [], |
58460 | 80 |
fp_ctr_sugar = |
81 |
{ctrXs_Tss = ctr_Tss, |
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ctr_defs = @{thms Inl_def_alt Inr_def_alt}, |
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58569 | 83 |
ctr_sugar = the_frozen_ctr_sugar_of ctxt fpT_name, |
58570 | 84 |
ctr_transfers = [], |
58571 | 85 |
case_transfers = [], |
58676 | 86 |
disc_transfers = [], |
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sel_transfers = []}, |
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58459 | 88 |
fp_bnf_sugar = |
58462 | 89 |
{map_thms = @{thms map_sum.simps}, |
58560 | 90 |
map_disc_iffs = [], |
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map_selss = [], |
58462 | 92 |
rel_injects = @{thms rel_sum_simps(1,4)}, |
58562 | 93 |
rel_distincts = @{thms rel_sum_simps(2,3)[THEN eq_False[THEN iffD1]]}, |
58563 | 94 |
rel_sels = [], |
58564 | 95 |
rel_intros = [], |
58565 | 96 |
rel_cases = [], |
58566 | 97 |
set_thms = [], |
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set_selssss = [], |
58673
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set_introssss = [], |
58568 | 100 |
set_cases = []}, |
58459 | 101 |
fp_co_induct_sugar = |
58461 | 102 |
{co_rec = Const (@{const_name case_sum}, map (fn Ts => (Ts ---> C)) ctr_Tss ---> fpT --> C), |
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common_co_inducts = @{thms sum.induct}, |
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co_inducts = @{thms sum.induct}, |
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co_rec_def = @{thm ctor_rec_def_alt[of "case_sum f1 f2" for f1 f2]}, |
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58459 | 106 |
co_rec_thms = @{thms sum.case}, |
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co_rec_discs = [], |
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58572 | 108 |
co_rec_disc_iffs = [], |
58573 | 109 |
co_rec_selss = [], |
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co_rec_codes = [], |
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58574 | 111 |
co_rec_transfers = [], |
58732 | 112 |
rec_o_maps = @{thms case_sum_o_map_sum}, |
58575 | 113 |
common_rel_co_inducts = [], |
58576 | 114 |
rel_co_inducts = [], |
58577 | 115 |
common_set_inducts = [], |
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set_inducts = []}} |
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end; |
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fun fp_sugar_of_prod ctxt = |
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let |
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val fpT as Type (fpT_name, As) = @{typ "'a * 'b"}; |
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val fpBT = @{typ "'c * 'd"}; |
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val C = @{typ 'e}; |
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val X = @{typ 'prod}; |
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val ctr_Ts = As; |
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val fp_bnf = the (bnf_of ctxt fpT_name); |
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val xtor_map = @{thm xtor_map[of "map_prod f1 f2" for f1 f2]}; |
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val xtor_sets = @{thms xtor_set[of fsts] xtor_set[of snds]}; |
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val xtor_rel = @{thm xtor_rel[of "rel_prod R1 R2" for R1 R2]}; |
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val ctor_rec_o_map = @{thm ctor_rec_o_map[of _ "map_prod g1 g2" for g1 g2]}; |
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val xtor_rel_induct = @{thm xtor_rel_induct[of "rel_prod R1 R2" for R1 R2]}; |
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in |
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{T = fpT, |
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BT = fpBT, |
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X = X, |
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fp = Least_FP, |
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fp_res_index = 0, |
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fp_res = |
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trivial_fp_result_of fp_bnf fpT C xtor_map xtor_sets xtor_rel ctor_rec_o_map xtor_rel_induct, |
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141 |
pre_bnf = ID_bnf (*wrong*), |
58674 | 142 |
fp_bnf = fp_bnf, |
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|
143 |
absT_info = trivial_absT_info_of fpT, |
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|
144 |
fp_nesting_bnfs = [], |
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|
145 |
live_nesting_bnfs = [], |
58460 | 146 |
fp_ctr_sugar = |
147 |
{ctrXs_Tss = [ctr_Ts], |
|
148 |
ctr_defs = @{thms Pair_def_alt}, |
|
58569 | 149 |
ctr_sugar = the_frozen_ctr_sugar_of ctxt fpT_name, |
58570 | 150 |
ctr_transfers = [], |
58571 | 151 |
case_transfers = [], |
58676 | 152 |
disc_transfers = [], |
153 |
sel_transfers = []}, |
|
58459 | 154 |
fp_bnf_sugar = |
58462 | 155 |
{map_thms = @{thms map_prod_simp}, |
58560 | 156 |
map_disc_iffs = [], |
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|
157 |
map_selss = [], |
58462 | 158 |
rel_injects = @{thms rel_prod_apply}, |
58562 | 159 |
rel_distincts = [], |
58563 | 160 |
rel_sels = [], |
58564 | 161 |
rel_intros = [], |
58565 | 162 |
rel_cases = [], |
58566 | 163 |
set_thms = [], |
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|
164 |
set_selssss = [], |
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|
165 |
set_introssss = [], |
58568 | 166 |
set_cases = []}, |
58459 | 167 |
fp_co_induct_sugar = |
58461 | 168 |
{co_rec = Const (@{const_name case_prod}, (ctr_Ts ---> C) --> fpT --> C), |
169 |
common_co_inducts = @{thms prod.induct}, |
|
170 |
co_inducts = @{thms prod.induct}, |
|
171 |
co_rec_def = @{thm ctor_rec_def_alt[of "case_prod f" for f]}, |
|
58459 | 172 |
co_rec_thms = @{thms prod.case}, |
173 |
co_rec_discs = [], |
|
58572 | 174 |
co_rec_disc_iffs = [], |
58573 | 175 |
co_rec_selss = [], |
176 |
co_rec_codes = [], |
|
58574 | 177 |
co_rec_transfers = [], |
58732 | 178 |
rec_o_maps = @{thms case_prod_o_map_prod}, |
58575 | 179 |
common_rel_co_inducts = [], |
58576 | 180 |
rel_co_inducts = [], |
58577 | 181 |
common_set_inducts = [], |
182 |
set_inducts = []}} |
|
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|
183 |
end; |
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184 |
|
58665 | 185 |
val _ = Theory.setup (Named_Target.theory_map (fn lthy => |
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186 |
fold (BNF_FP_Def_Sugar.register_fp_sugars (K true) o single o (fn f => f lthy)) |
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187 |
[fp_sugar_of_sum, fp_sugar_of_prod] lthy)); |
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|
188 |
|
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|
189 |
end; |