author | krauss |
Fri, 24 Nov 2006 13:43:44 +0100 | |
changeset 21511 | 16c62deb1adf |
parent 21491 | 574e63799847 |
child 21602 | cb13024d0e36 |
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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-> FundefCommon.fundef_config |
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-> local_theory |
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-> string * Proof.state |
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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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-> string * Proof.state |
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val setup_termination_proof : string option -> local_theory -> 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 setup_case_cong_hook : 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 FundefLib |
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open FundefCommon |
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val note_theorem = LocalTheory.note Thm.theoremK |
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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 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 (saved_spec_psimps, lthy) = |
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fold_map (fold_map note_theorem) (restore_spec_structure psimps spec) lthy |
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val saved_psimps = flat (map snd (flat saved_spec_psimps)) |
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val psimps_by_f = FundefMutual.sort_by_function mutual_info fnames saved_psimps |
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fun add_for_f fname psimps = |
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note_theorem |
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((NameSpace.qualified fname label, Attrib.internal Simplifier.simp_add :: moreatts), |
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psimps) #> snd |
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in |
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(saved_psimps, |
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fold2 add_for_f fnames psimps_by_f lthy) |
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end |
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fun fundef_afterqed config fixes spec mutual_info defname data [[result]] lthy = |
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let |
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val FundefConfig { domintros, ...} = config |
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val Prep {f, R, ...} = data |
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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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val qualify = NameSpace.qualified defname |
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val (((psimps', pinducts'), (_, [termination'])), lthy) = |
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lthy |
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|> PROFILE "adding_psimps" (add_simps "psimps" [] mutual_info fixes psimps spec) |
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||>> PROFILE "adding pinduct" (note_theorem ((qualify "pinduct", [Attrib.internal (InductAttrib.induct_set "")]), simple_pinducts)) |
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||>> PROFILE "adding termination" (note_theorem ((qualify "termination", []), [termination])) |
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||> (snd o PROFILE "adding cases" (note_theorem ((qualify "cases", []), [cases]))) |
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||> (snd o PROFILE "adding domintros" (note_theorem ((qualify "domintros", []), domintros))) |
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val cdata = FundefCtxData { fixes=fixes, spec=spec, mutual=mutual_info, psimps=psimps', |
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pinducts=snd pinducts', termination=termination', f=f, R=R } |
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in |
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lthy (* FIXME proper handling of morphism *) |
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|> LocalTheory.declaration (fn phi => add_fundef_data defname cdata) (* save in target *) |
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|> Context.proof_map (add_fundef_data defname cdata) (* also save in local context *) |
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end (* FIXME: Add cases for induct and cases thm *) |
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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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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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fun gen_add_fundef prep_spec fixspec eqnss_flags config lthy = |
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let |
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val FundefConfig {sequential, default, ...} = config |
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val ((fixes, spec), ctxt') = prep_with_flags prep_spec fixspec eqnss_flags sequential lthy |
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val t_eqns = spec |
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|> flat |> map snd |> flat (* flatten external structure *) |
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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 default lthy |
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val afterqed = fundef_afterqed config fixes spec mutual_info name prep_result |
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in |
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(name, lthy |
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|> Proof.theorem_i NONE afterqed [[(goal, [])]] |
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|> Proof.refine (Method.primitive_text (fn _ => goalI)) |> Seq.hd) |
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131 |
end |
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132 |
|
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133 |
|
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fun total_termination_afterqed defname data [[totality]] lthy = |
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135 |
let |
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val FundefCtxData { fixes, spec, mutual, psimps, pinducts, ... } = data |
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137 |
|
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val totality = PROFILE "closing" Drule.close_derivation totality |
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139 |
|
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val remove_domain_condition = full_simplify (HOL_basic_ss addsimps [totality, True_implies_equals]) |
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141 |
|
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val tsimps = PROFILE "making tsimps" (map remove_domain_condition) psimps |
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val tinduct = PROFILE "making tinduct" (map remove_domain_condition) pinducts |
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144 |
|
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145 |
(* FIXME: How to generate code from (possibly) local contexts*) |
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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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148 |
|
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val qualify = NameSpace.qualified defname; |
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150 |
in |
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151 |
lthy |
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|> PROFILE "adding tsimps" (add_simps "simps" allatts mutual fixes tsimps spec) |> snd |
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|> PROFILE "adding tinduct" (note_theorem ((qualify "induct", []), tinduct)) |> snd |
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154 |
end |
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155 |
|
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156 |
|
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fun setup_termination_proof name_opt lthy = |
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158 |
let |
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159 |
val name = the_default (get_last_fundef (Context.Proof lthy)) name_opt |
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160 |
val data = the (get_fundef_data name (Context.Proof lthy)) |
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161 |
handle Option.Option => raise ERROR ("No such function definition: " ^ name) |
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162 |
|
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val FundefCtxData {termination, f, R, ...} = data |
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164 |
val goal = FundefTermination.mk_total_termination_goal f R |
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165 |
in |
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166 |
lthy |
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|> ProofContext.note_thmss_i "" [(("termination", |
21237 | 168 |
[ContextRules.intro_query NONE]), [(ProofContext.standard lthy [termination], [])])] |> snd |
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169 |
|> set_termination_rule termination |
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|> Proof.theorem_i NONE (total_termination_afterqed name data) [[(goal, [])]] |
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171 |
end |
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172 |
|
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|
173 |
|
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174 |
val add_fundef = gen_add_fundef Specification.read_specification |
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175 |
val add_fundef_i = gen_add_fundef Specification.cert_specification |
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|
176 |
|
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177 |
|
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178 |
|
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179 |
(* congruence rules *) |
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180 |
|
19617 | 181 |
val cong_add = Thm.declaration_attribute (map_fundef_congs o Drule.add_rule o safe_mk_meta_eq); |
182 |
val cong_del = Thm.declaration_attribute (map_fundef_congs o Drule.del_rule o safe_mk_meta_eq); |
|
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|
183 |
|
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184 |
(* Datatype hook to declare datatype congs as "fundef_congs" *) |
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185 |
|
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186 |
|
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187 |
fun add_case_cong n thy = |
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188 |
Context.theory_map (map_fundef_congs (Drule.add_rule |
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189 |
(DatatypePackage.get_datatype thy n |> the |
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190 |
|> #case_cong |
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191 |
|> safe_mk_meta_eq))) |
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|
192 |
thy |
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|
193 |
|
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|
194 |
val case_cong_hook = fold add_case_cong |
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|
195 |
|
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196 |
val setup_case_cong_hook = |
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|
197 |
DatatypeHooks.add case_cong_hook |
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198 |
#> (fn thy => case_cong_hook (Symtab.keys (DatatypePackage.get_datatypes thy)) thy) |
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|
199 |
|
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|
200 |
(* setup *) |
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201 |
|
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|
202 |
val setup = |
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203 |
FundefData.init |
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204 |
#> FundefCongs.init |
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205 |
#> TerminationRule.init |
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206 |
#> Attrib.add_attributes |
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|
207 |
[("fundef_cong", Attrib.add_del_args cong_add cong_del, "declaration of congruence rule for function definitions")] |
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|
208 |
#> setup_case_cong_hook |
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|
209 |
#> FundefRelation.setup |
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|
210 |
|
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|
211 |
val get_congs = FundefCommon.get_fundef_congs o Context.Theory |
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|
212 |
|
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|
213 |
|
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|
214 |
|
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215 |
(* outer syntax *) |
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216 |
|
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|
217 |
local structure P = OuterParse and K = OuterKeyword in |
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|
218 |
|
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219 |
|
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|
220 |
|
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221 |
fun or_list1 s = P.enum1 "|" s |
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|
222 |
|
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|
223 |
val opt_sequential = Scan.optional ((P.$$$ "(" |-- P.$$$ "sequential" --| P.$$$ ")") >> K true) false |
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|
224 |
|
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|
225 |
val otherwise = P.$$$ "(" |-- P.$$$ "otherwise" --| P.$$$ ")" |
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226 |
val statement_ow = P.and_list1 (P.opt_thm_name ":" -- Scan.repeat1 (P.prop -- Scan.optional (otherwise >> K true) false)) |
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227 |
val statements_ow = or_list1 statement_ow |
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|
228 |
|
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|
229 |
|
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|
230 |
val functionP = |
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|
231 |
OuterSyntax.command "function" "define general recursive functions" K.thy_goal |
21051
c49467a9c1e1
Switched function package to use the new package for inductive predicates.
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diff
changeset
|
232 |
((config_parser default_config -- P.opt_locale_target -- P.fixes --| P.$$$ "where" -- statements_ow) |
20654
d80502f0d701
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|
233 |
>> (fn (((config, target), fixes), statements) => |
21211
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|
234 |
Toplevel.local_theory_to_proof target (add_fundef fixes statements config #> snd) |
5370cfbf3070
Preparations for making "lexicographic_order" part of "fun"
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|
235 |
#> Toplevel.print)); |
20523
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|
236 |
|
19564
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|
237 |
|
21051
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Switched function package to use the new package for inductive predicates.
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diff
changeset
|
238 |
|
19564
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|
239 |
val terminationP = |
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changeset
|
240 |
OuterSyntax.command "termination" "prove termination of a recursive function" K.thy_goal |
21000 | 241 |
(P.opt_locale_target -- Scan.option P.name |
242 |
>> (fn (target, name) => |
|
243 |
Toplevel.print o |
|
21211
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|
244 |
Toplevel.local_theory_to_proof target (setup_termination_proof name))); |
19564
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|
245 |
|
20338
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Added Keywords: "otherwise" and "sequential", needed for function package's
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|
246 |
|
19564
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|
247 |
val _ = OuterSyntax.add_parsers [functionP]; |
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|
248 |
val _ = OuterSyntax.add_parsers [terminationP]; |
20654
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|
249 |
val _ = OuterSyntax.add_keywords ["sequential", "otherwise"]; |
19564
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250 |
|
d3e2f532459a
First usable version of the new function definition package (HOL/function_packake/...).
krauss
parents:
diff
changeset
|
251 |
end; |
d3e2f532459a
First usable version of the new function definition package (HOL/function_packake/...).
krauss
parents:
diff
changeset
|
252 |
|
d3e2f532459a
First usable version of the new function definition package (HOL/function_packake/...).
krauss
parents:
diff
changeset
|
253 |
|
19585 | 254 |
end |