author | blanchet |
Tue, 28 Aug 2012 17:16:00 +0200 | |
changeset 48975 | 7f79f94a432c |
child 49019 | fc4decdba5ce |
permissions | -rw-r--r-- |
48975
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(* Title: HOL/Codatatype/Tools/bnf_fp_util.ML |
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Author: Dmitriy Traytel, TU Muenchen |
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Copyright 2012 |
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Shared library for the datatype and the codatatype construction. |
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*) |
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|
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signature BNF_FP_UTIL = |
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sig |
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val time: Timer.real_timer -> string -> Timer.real_timer |
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|
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val IITN: string |
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val LevN: string |
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val algN: string |
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val behN: string |
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val bisN: string |
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val carTN: string |
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val coN: string |
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val coinductN: string |
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val coiterN: string |
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val coiter_uniqueN: string |
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val corecN: string |
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val fldN: string |
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val fld_coiterN: string |
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val fld_exhaustN: string |
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val fld_induct2N: string |
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val fld_inductN: string |
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val fld_injectN: string |
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val fld_unfN: string |
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val hsetN: string |
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val hset_recN: string |
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val inductN: string |
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val isNodeN: string |
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val iterN: string |
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val iter_uniqueN: string |
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val lsbisN: string |
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val map_simpsN: string |
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val map_uniqueN: string |
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val min_algN: string |
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val morN: string |
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val pred_coinductN: string |
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val pred_coinduct_uptoN: string |
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val recN: string |
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val rel_coinductN: string |
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val rel_coinduct_uptoN: string |
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val rvN: string |
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val set_inclN: string |
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val set_set_inclN: string |
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val strTN: string |
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val str_initN: string |
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val sum_bdN: string |
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val sum_bdTN: string |
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val unfN: string |
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val unf_coinductN: string |
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val unf_coinduct_uptoN: string |
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val unf_exhaustN: string |
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val unf_fldN: string |
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val unf_injectN: string |
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val uniqueN: string |
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val uptoN: string |
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val mk_exhaustN: string -> string |
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val mk_injectN: string -> string |
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val mk_nchotomyN: string -> string |
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val mk_set_simpsN: int -> string |
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val mk_set_minimalN: int -> string |
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val mk_set_inductN: int -> string |
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val typedef: bool -> binding option -> binding * (string * sort) list * mixfix -> term -> |
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(binding * binding) option -> tactic -> local_theory -> (string * Typedef.info) * local_theory |
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val split_conj_thm: thm -> thm list |
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val split_conj_prems: int -> thm -> thm |
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val list_all_free: term list -> term -> term |
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val list_exists_free: term list -> term -> term |
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val mk_Field: term -> term |
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val mk_union: term * term -> term |
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val mk_tactics: 'a -> 'a -> 'a -> 'a list -> 'a -> 'a -> 'a list -> 'a -> 'a -> 'a list |
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val fixpoint: ('a * 'a -> bool) -> ('a list -> 'a list) -> 'a list -> 'a list |
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val interleave: 'a list -> 'a list -> 'a list |
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val certifyT: Proof.context -> typ -> ctyp |
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val certify: Proof.context -> term -> cterm |
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|
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val fp_bnf: (binding list -> typ list list -> BNF_Def.BNF list -> |
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90 |
Proof.context -> Proof.context) -> |
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binding list -> ((string * sort) * typ) list -> Proof.context -> Proof.context |
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val fp_bnf_cmd: (binding list -> typ list list -> BNF_Def.BNF list -> |
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Proof.context -> Proof.context) -> |
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binding list * (string list * string list) -> Proof.context -> Proof.context |
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end; |
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|
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structure BNF_FP_Util : BNF_FP_UTIL = |
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struct |
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|
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100 |
open BNF_Comp |
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101 |
open BNF_Def |
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102 |
open BNF_Util |
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|
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104 |
val timing = true; |
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105 |
fun time timer msg = (if timing |
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106 |
then warning (msg ^ ": " ^ ATP_Util.string_from_time (Timer.checkRealTimer timer)) |
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107 |
else (); Timer.startRealTimer ()); |
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|
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109 |
(*TODO: is this really different from Typedef.add_typedef_global?*) |
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fun typedef def opt_name typ set opt_morphs tac lthy = |
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let |
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112 |
val ((name, info), (lthy, lthy_old)) = |
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113 |
lthy |
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114 |
|> Typedef.add_typedef def opt_name typ set opt_morphs tac |
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115 |
||> `Local_Theory.restore; |
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116 |
val phi = Proof_Context.export_morphism lthy_old lthy; |
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117 |
in |
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118 |
((name, Typedef.transform_info phi info), lthy) |
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119 |
end; |
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120 |
|
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121 |
val coN = "co" |
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122 |
val algN = "alg" |
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123 |
val IITN = "IITN" |
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124 |
val iterN = "iter" |
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125 |
val coiterN = coN ^ iterN |
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|
126 |
val uniqueN = "_unique" |
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|
127 |
val iter_uniqueN = iterN ^ uniqueN |
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|
128 |
val coiter_uniqueN = coiterN ^ uniqueN |
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129 |
val fldN = "fld" |
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130 |
val unfN = "unf" |
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131 |
val fld_coiterN = fldN ^ "_" ^ coiterN |
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132 |
val map_simpsN = mapN ^ "_simps" |
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|
133 |
val map_uniqueN = mapN ^ uniqueN |
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134 |
val min_algN = "min_alg" |
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|
135 |
val morN = "mor" |
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|
136 |
val bisN = "bis" |
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|
137 |
val lsbisN = "lsbis" |
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|
138 |
val sum_bdTN = "sbdT" |
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|
139 |
val sum_bdN = "sbd" |
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|
140 |
val carTN = "carT" |
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|
141 |
val strTN = "strT" |
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|
142 |
val isNodeN = "isNode" |
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|
143 |
val LevN = "Lev" |
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|
144 |
val rvN = "recover" |
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|
145 |
val behN = "beh" |
7f79f94a432c
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|
146 |
fun mk_set_simpsN i = mk_setN i ^ "_simps" |
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|
147 |
fun mk_set_minimalN i = mk_setN i ^ "_minimal" |
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148 |
fun mk_set_inductN i = mk_setN i ^ "_induct" |
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|
149 |
|
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|
150 |
val str_initN = "str_init" |
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|
151 |
val recN = "rec" |
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|
152 |
val corecN = coN ^ recN |
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|
153 |
|
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|
154 |
val fld_unfN = fldN ^ "_" ^ unfN |
7f79f94a432c
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|
155 |
val unf_fldN = unfN ^ "_" ^ fldN |
7f79f94a432c
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|
156 |
fun mk_nchotomyN s = s ^ "_nchotomy" |
7f79f94a432c
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|
157 |
fun mk_injectN s = s ^ "_inject" |
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|
158 |
fun mk_exhaustN s = s ^ "_exhaust" |
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|
159 |
val fld_injectN = mk_injectN fldN |
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|
160 |
val fld_exhaustN = mk_exhaustN fldN |
7f79f94a432c
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|
161 |
val unf_injectN = mk_injectN unfN |
7f79f94a432c
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|
162 |
val unf_exhaustN = mk_exhaustN unfN |
7f79f94a432c
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|
163 |
val inductN = "induct" |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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|
164 |
val coinductN = coN ^ inductN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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|
165 |
val fld_inductN = fldN ^ "_" ^ inductN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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|
166 |
val fld_induct2N = fld_inductN ^ "2" |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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diff
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|
167 |
val unf_coinductN = unfN ^ "_" ^ coinductN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
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|
168 |
val rel_coinductN = relN ^ "_" ^ coinductN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
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|
169 |
val pred_coinductN = predN ^ "_" ^ coinductN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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|
170 |
val uptoN = "upto" |
7f79f94a432c
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|
171 |
val unf_coinduct_uptoN = unf_coinductN ^ "_" ^ uptoN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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|
172 |
val rel_coinduct_uptoN = rel_coinductN ^ "_" ^ uptoN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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|
173 |
val pred_coinduct_uptoN = pred_coinductN ^ "_" ^ uptoN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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diff
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|
174 |
val hsetN = "Hset" |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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diff
changeset
|
175 |
val hset_recN = hsetN ^ "_rec" |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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diff
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|
176 |
val set_inclN = "set_incl" |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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|
177 |
val set_set_inclN = "set_set_incl" |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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|
178 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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|
179 |
fun mk_Field r = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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|
180 |
let val T = fst (dest_relT (fastype_of r)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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|
181 |
in Const (@{const_name Field}, mk_relT (T, T) --> HOLogic.mk_setT T) $ r end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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|
182 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
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|
183 |
val mk_union = HOLogic.mk_binop @{const_name sup}; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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diff
changeset
|
184 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
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|
185 |
(*dangerous; use with monotonic, converging functions only!*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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|
186 |
fun fixpoint eq f X = if subset eq (f X, X) then X else fixpoint eq f (f X); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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diff
changeset
|
187 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
188 |
val list_exists_free = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
189 |
fold_rev (fn free => fn P => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
190 |
let val (x, T) = Term.dest_Free free; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
191 |
in HOLogic.exists_const T $ Term.absfree (x, T) P end); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
192 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
193 |
val list_all_free = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
194 |
fold_rev (fn free => fn P => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
195 |
let val (x, T) = Term.dest_Free free; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
196 |
in HOLogic.all_const T $ Term.absfree (x, T) P end); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
197 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
198 |
(*stolen from ~~/src/HOL/Tools/SMT/smt_utils.ML*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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|
199 |
fun certify ctxt = Thm.cterm_of (Proof_Context.theory_of ctxt); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
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|
200 |
fun certifyT ctxt = Thm.ctyp_of (Proof_Context.theory_of ctxt); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
201 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
202 |
(* stolen from "~~/src/HOL/Tools/Datatype/datatype_aux.ML" *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
203 |
fun split_conj_thm th = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
204 |
((th RS conjunct1)::(split_conj_thm (th RS conjunct2))) handle THM _ => [th]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
205 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
206 |
fun split_conj_prems limit th = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
207 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
208 |
fun split n i th = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
209 |
if i = n then th else split n (i + 1) (conjI RSN (i, th)) handle THM _ => th; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
210 |
in split limit 1 th end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
211 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
212 |
fun mk_tactics mid mcomp mcong snat bdco bdinf sbd inbd wpull = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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diff
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|
213 |
[mid, mcomp, mcong] @ snat @ [bdco, bdinf] @ sbd @ [inbd, wpull]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
214 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
215 |
fun interleave xs ys = flat (map2 (fn x => fn y => [x, y]) xs ys); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
216 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
217 |
fun fp_sort lhss Ass = Library.sort (Term_Ord.typ_ord o pairself TFree) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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diff
changeset
|
218 |
(subtract (op =) lhss (fold (fold (insert (op =))) Ass [])) @ lhss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
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fun mk_fp_bnf timer construct bs sort bnfs deads lives unfold lthy = |
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let |
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(* TODO: assert that none of the deads is a lhs *) |
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|
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val name = fold_rev (fn b => fn s => Binding.name_of b ^ s) bs ""; |
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fun qualify i bind = |
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let val namei = if i > 0 then name ^ string_of_int i else name; |
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in |
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if member (op =) (#2 (Binding.dest bind)) (namei, true) then bind |
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else Binding.prefix_name namei bind |
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end; |
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|
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val Ass = map (map dest_TFree) lives; |
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val Ds = fold (fold Term.add_tfreesT) deads []; |
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|
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val timer = time (timer "Construction of BNFs"); |
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|
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val ((kill_poss, _), (bnfs', (unfold', lthy'))) = |
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normalize_bnfs qualify Ass Ds sort bnfs unfold lthy; |
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|
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|
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val Dss = map3 (append oo map o nth) lives kill_poss deads; |
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|
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|
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val (bnfs'', lthy'') = |
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parents:
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fold_map3 (seal_bnf unfold') (map (Binding.suffix_name "BNF") bs) Dss bnfs' lthy'; |
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|
244 |
|
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val timer = time (timer "Normalization & sealing of BNFs"); |
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|
246 |
|
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val res = construct bs Dss bnfs'' lthy''; |
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|
248 |
|
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|
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val timer = time (timer "FP construction in total"); |
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parents:
diff
changeset
|
250 |
in |
7f79f94a432c
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251 |
res |
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|
252 |
end; |
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|
253 |
|
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fun fp_bnf construct bs eqs lthy = |
7f79f94a432c
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|
255 |
let |
7f79f94a432c
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|
256 |
val timer = time (Timer.startRealTimer ()); |
7f79f94a432c
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|
257 |
val (lhss, rhss) = split_list eqs; |
7f79f94a432c
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|
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val sort = fp_sort lhss; |
7f79f94a432c
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|
259 |
val ((bnfs, (Dss, Ass)), (unfold, lthy')) = apfst (apsnd split_list o split_list) |
7f79f94a432c
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|
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(fold_map2 (fn b => bnf_of_typ Smart_Inline (Binding.suffix_name "RAW" b) I sort) bs rhss |
7f79f94a432c
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|
261 |
(empty_unfold, lthy)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
262 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
263 |
mk_fp_bnf timer construct bs sort bnfs Dss Ass unfold lthy' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
264 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
265 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
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changeset
|
266 |
fun fp_bnf_cmd construct (bs, (raw_lhss, raw_bnfs)) lthy = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
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|
267 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
268 |
val timer = time (Timer.startRealTimer ()); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
269 |
val lhss = map (dest_TFree o Syntax.read_typ lthy) raw_lhss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
270 |
val sort = fp_sort lhss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
271 |
val ((bnfs, (Dss, Ass)), (unfold, lthy')) = apfst (apsnd split_list o split_list) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
272 |
(fold_map2 (fn b => fn rawT => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
273 |
(bnf_of_typ Smart_Inline (Binding.suffix_name "RAW" b) I sort (Syntax.read_typ lthy rawT))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
274 |
bs raw_bnfs (empty_unfold, lthy)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
275 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
276 |
mk_fp_bnf timer construct bs sort bnfs Dss Ass unfold lthy' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
277 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
278 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
279 |
end; |