author | krauss |
Wed, 20 Sep 2006 12:05:31 +0200 | |
changeset 20638 | 241792a4634e |
parent 20523 | 36a59e5d0039 |
child 20654 | d80502f0d701 |
permissions | -rw-r--r-- |
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(* Title: HOL/Tools/function_package/fundef_package.ML |
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ID: $Id$ |
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Author: Alexander Krauss, TU Muenchen |
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A package for general recursive function definitions. |
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Isar commands. |
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|
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*) |
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signature FUNDEF_PACKAGE = |
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sig |
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val add_fundef : (string * string option * mixfix) list |
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-> ((bstring * Attrib.src list) * string list) list list |
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-> bool |
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-> local_theory |
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-> Proof.state |
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|
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val add_fundef_i: (string * typ option * mixfix) list |
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-> ((bstring * Attrib.src list) * term list) list list |
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-> bool |
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-> local_theory |
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-> Proof.state |
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val cong_add: attribute |
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val cong_del: attribute |
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val setup : theory -> theory |
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val get_congs : theory -> thm list |
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end |
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structure FundefPackage = |
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struct |
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open FundefCommon |
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fun burrow_snd f ps = (* ('a list -> 'b list) -> ('c * 'a) list -> ('c * 'b) list *) |
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let val (xs, ys) = split_list ps |
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in xs ~~ f ys end |
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fun restore_spec_structure reps spec = |
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(burrow o burrow_snd o burrow o K) reps spec |
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fun with_local_path path f lthy = |
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let |
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val restore = Theory.restore_naming (ProofContext.theory_of lthy) |
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in |
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lthy |
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|> LocalTheory.theory (Theory.add_path path) |
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|> f |
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|> LocalTheory.theory restore |
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end |
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fun add_simps label moreatts mutual_info fixes psimps spec lthy = |
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let |
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val fnames = map (fst o fst) fixes |
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val psimps_by_f = FundefMutual.sort_by_function mutual_info fnames psimps |
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fun add_for_f fname psimps = |
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with_local_path fname |
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(LocalTheory.note ((label, Attrib.internal Simplifier.simp_add :: moreatts), psimps) #> snd) |
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in |
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lthy |
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|> fold_map (fold_map LocalTheory.note) (restore_spec_structure psimps spec) |> snd |
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|> fold2 add_for_f fnames psimps_by_f |
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end |
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fun fundef_afterqed fixes spec mutual_info defname data [[result]] lthy = |
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let |
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val fundef_data = FundefMutual.mk_partial_rules_mutual lthy mutual_info data result |
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val FundefMResult {psimps, subset_pinducts, simple_pinducts, termination, domintros, cases, ...} = fundef_data |
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in |
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lthy |
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|> add_simps "psimps" [] mutual_info fixes psimps spec |
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|> with_local_path defname |
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(LocalTheory.note (("domintros", []), domintros) #> snd |
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#> LocalTheory.note (("termination", []), [termination]) #> snd |
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#> LocalTheory.note (("cases", []), [cases]) #> snd |
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#> LocalTheory.note (("pinduct", [Attrib.internal (InductAttrib.induct_set "")]), simple_pinducts) #> snd) |
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|> LocalTheory.theory (Context.theory_map (add_fundef_data defname (fundef_data, mutual_info, (fixes,spec)))) |
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end (* FIXME: Add cases for induct and cases thm *) |
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|
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fun prep_with_flags prep fixspec eqnss_flags global_flag lthy = |
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let |
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val eqnss = map (map (apsnd (map fst))) eqnss_flags |
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val flags = map (map (map (fn (_, f) => global_flag orelse f) o snd)) eqnss_flags |
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|
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val ((fixes, _), ctxt') = prep fixspec [] lthy |
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val spec = map (fn eqns => snd (fst (prep [] eqns ctxt'))) eqnss |
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|> map (map (apsnd (map (fn t => fold_rev (mk_forall o Free) (frees_in_term ctxt' t) t)))) (* Add quantifiers *) |
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|> map2 (map2 (fn fs => fn (r, thms) => (r, fs ~~ thms))) flags |
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|> (burrow o burrow_snd o burrow) |
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(FundefSplit.split_some_equations lthy) |
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|> map (map (apsnd flat)) |
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in |
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((fixes, spec), ctxt') |
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end |
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|
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fun gen_add_fundef prep_spec fixspec eqnss_flags preprocess lthy = |
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let |
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val ((fixes, spec), ctxt') = prep_with_flags prep_spec fixspec eqnss_flags preprocess lthy |
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val t_eqns = spec |
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|> flat |> map snd |> flat (* flatten external structure *) |
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|
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val ((mutual_info, name, prep_result as Prep {goal, goalI, ...}), lthy) = |
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FundefMutual.prepare_fundef_mutual fixes t_eqns lthy |
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|
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val afterqed = fundef_afterqed fixes spec mutual_info name prep_result |
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in |
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lthy |
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|> Proof.theorem_i PureThy.internalK NONE afterqed NONE ("", []) [(("", []), [(goal, [])])] |
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|> Proof.refine (Method.primitive_text (fn _ => goalI)) |> Seq.hd |
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end |
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|
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fun total_termination_afterqed defname data [[totality]] lthy = |
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122 |
let |
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val (FundefMResult {psimps, simple_pinducts, ... }, mutual_info, (fixes, stmts)) = data |
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124 |
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125 |
val remove_domain_condition = full_simplify (HOL_basic_ss addsimps [totality, True_implies_equals]) |
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126 |
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val tsimps = map remove_domain_condition psimps |
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128 |
val tinduct = map remove_domain_condition simple_pinducts |
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129 |
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130 |
(* FIXME: How to generate code from (possibly) local contexts |
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131 |
val has_guards = exists ((fn (Const ("Trueprop", _) $ _) => false | _ => true) o prop_of) tsimps |
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val allatts = if has_guards then [] else [Attrib.internal (RecfunCodegen.add NONE)] |
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133 |
*) |
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in |
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135 |
lthy |
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|> add_simps "simps" [] mutual_info fixes tsimps stmts |
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137 |
|> with_local_path defname |
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138 |
(LocalTheory.note (("induct", []), tinduct) #> snd) |
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139 |
end |
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140 |
|
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141 |
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fun fundef_setup_termination_proof name_opt lthy = |
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143 |
let |
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val name = the_default (get_last_fundef (Context.Proof lthy)) name_opt |
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val data = the (get_fundef_data name (Context.Proof lthy)) |
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146 |
handle Option.Option => raise ERROR ("No such function definition: " ^ name) |
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147 |
|
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val (res as FundefMResult {termination, ...}, _, _) = data |
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val goal = FundefTermination.mk_total_termination_goal data |
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150 |
in |
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151 |
lthy |
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152 |
|> ProofContext.note_thmss_i [(("termination", |
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153 |
[ContextRules.intro_query NONE]), [(ProofContext.export_standard lthy lthy [termination], [])])] |> snd |
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154 |
|> Proof.theorem_i PureThy.internalK NONE |
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155 |
(total_termination_afterqed name data) NONE ("", []) |
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156 |
[(("", []), [(goal, [])])] |
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157 |
end |
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158 |
|
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159 |
|
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160 |
val add_fundef = gen_add_fundef Specification.read_specification |
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161 |
val add_fundef_i = gen_add_fundef Specification.cert_specification |
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162 |
|
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163 |
|
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164 |
|
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165 |
(* congruence rules *) |
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166 |
|
19617 | 167 |
val cong_add = Thm.declaration_attribute (map_fundef_congs o Drule.add_rule o safe_mk_meta_eq); |
168 |
val cong_del = Thm.declaration_attribute (map_fundef_congs o Drule.del_rule o safe_mk_meta_eq); |
|
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169 |
|
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170 |
|
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171 |
(* setup *) |
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172 |
|
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173 |
val setup = FundefData.init #> FundefCongs.init |
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174 |
#> Attrib.add_attributes |
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175 |
[("fundef_cong", Attrib.add_del_args cong_add cong_del, "declaration of congruence rule for function definitions")] |
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176 |
|
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177 |
|
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178 |
val get_congs = FundefCommon.get_fundef_congs o Context.Theory |
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179 |
|
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180 |
|
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181 |
(* outer syntax *) |
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182 |
|
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183 |
local structure P = OuterParse and K = OuterKeyword in |
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184 |
|
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185 |
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186 |
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187 |
fun or_list1 s = P.enum1 "|" s |
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188 |
|
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189 |
val opt_sequential = Scan.optional ((P.$$$ "(" |-- P.$$$ "sequential" --| P.$$$ ")") >> K true) false |
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190 |
|
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191 |
val otherwise = P.$$$ "(" |-- P.$$$ "otherwise" --| P.$$$ ")" |
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192 |
val statement_ow = P.and_list1 (P.opt_thm_name ":" -- Scan.repeat1 (P.prop -- Scan.optional (otherwise >> K true) false)) |
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193 |
val statements_ow = or_list1 statement_ow |
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194 |
|
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195 |
|
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196 |
fun local_theory_to_proof f = |
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197 |
Toplevel.theory_to_proof (f o LocalTheory.init NONE) |
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198 |
|
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199 |
val functionP = |
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200 |
OuterSyntax.command "function" "define general recursive functions" K.thy_goal |
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201 |
((opt_sequential -- P.opt_locale_target -- P.fixes --| P.$$$ "where" -- statements_ow) |
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202 |
>> (fn (((sequential, target), fixes), statements) => |
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203 |
Toplevel.print o local_theory_to_proof (add_fundef fixes statements sequential))); |
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204 |
|
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205 |
|
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206 |
val terminationP = |
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207 |
OuterSyntax.command "termination" "prove termination of a recursive function" K.thy_goal |
20523
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208 |
(Scan.option P.name |
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209 |
>> (fn name => Toplevel.print o local_theory_to_proof (fundef_setup_termination_proof name))); |
19564
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210 |
|
20338
ecdfc96cf4d0
Added Keywords: "otherwise" and "sequential", needed for function package's
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|
211 |
|
19564
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212 |
val _ = OuterSyntax.add_parsers [functionP]; |
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213 |
val _ = OuterSyntax.add_parsers [terminationP]; |
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214 |
val _ = OuterSyntax.add_keywords ["sequential", "otherwise"]; (* currently unused *) |
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215 |
|
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216 |
end; |
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217 |
|
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218 |
|
19585 | 219 |
end |