author | krauss |
Tue, 10 Apr 2007 18:09:58 +0200 | |
changeset 22623 | 5fcee5b319a2 |
parent 22498 | 62cdd4b3e96b |
child 22635 | d33735c0f225 |
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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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 * bool)) 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 * bool)) 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 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 : FUNDEF_PACKAGE = |
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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 mk_defname fixes = fixes |> map (fst o fst) |> space_implode "_" |
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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_snd o burrow o K) reps spec |
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fun add_simps fixes spec sort label moreatts simps lthy = |
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let |
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val fnames = map (fst o fst) fixes |
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val (saved_spec_simps, lthy) = |
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fold_map note_theorem (restore_spec_structure simps spec) lthy |
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val saved_simps = flat (map snd saved_spec_simps) |
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val simps_by_f = sort saved_simps |
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fun add_for_f fname simps = |
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note_theorem |
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((NameSpace.qualified fname label, Attrib.internal (K Simplifier.simp_add) :: moreatts), |
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simps) #> snd |
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in |
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(saved_simps, |
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fold2 add_for_f fnames simps_by_f lthy) |
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end |
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fun pr_ctxdata (x: fundef_context_data) = (Output.debug (K (PolyML.makestring x)); x) |
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fun fundef_afterqed config fixes spec defname cont sort_cont [[proof]] lthy = |
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let |
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val FundefResult {f, R, psimps, trsimps, subset_pinducts, simple_pinducts, termination, domintros, cases, ...} = |
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cont (Goal.close_result proof) |
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val qualify = NameSpace.qualified defname |
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val addsmps = add_simps fixes spec sort_cont |
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val (((psimps', pinducts'), (_, [termination'])), lthy) = |
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lthy |
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|> addsmps "psimps" [] psimps |
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||> fold_option (snd oo addsmps "simps" []) trsimps |
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||>> note_theorem ((qualify "pinduct", |
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[Attrib.internal (K (InductAttrib.induct_set ""))]), simple_pinducts) |
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||>> note_theorem ((qualify "termination", []), [termination]) |
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||> (snd o note_theorem ((qualify "cases", []), [cases])) |
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||> fold_option (snd oo curry note_theorem (qualify "domintros", [])) domintros |
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val cdata = FundefCtxData { add_simps=addsmps, psimps=psimps', |
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pinducts=snd pinducts', termination=termination', f=f, R=R } |
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|> morph_fundef_data (LocalTheory.target_morphism lthy) |
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in |
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lthy |
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|> LocalTheory.declaration (fn phi => add_fundef_data defname (pr_ctxdata (morph_fundef_data phi 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 flags = map (fn x => global_flag orelse (snd (snd x))) eqnss_flags |
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val eqns = map (apsnd (single o fst)) eqnss_flags |
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val ((fixes, _), ctxt') = prep fixspec [] lthy |
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fun prep_eqn e = the_single (snd (fst (prep [] [e] ctxt'))) |
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|> apsnd the_single |
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val spec = map prep_eqn eqns |
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|> map (apsnd (fn t => fold_rev (mk_forall o Free) (frees_in_term ctxt' t) t)) (* Add quantifiers *) |
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|> burrow_snd (fn ts => FundefSplit.split_some_equations ctxt' (flags ~~ ts)) |
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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, tailrec, ...} = config |
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val ((fixes, spec), ctxt') = prep_with_flags prep_spec fixspec eqnss_flags sequential lthy |
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val defname = mk_defname fixes |
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||
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val t_eqns = spec |> map snd |> flat (* flatten external structure *) |
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val ((goalstate, cont, sort_cont), lthy) = |
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FundefMutual.prepare_fundef_mutual config defname fixes t_eqns default lthy |
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val afterqed = fundef_afterqed config fixes spec defname cont sort_cont |
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in |
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(defname, lthy |
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|> Proof.theorem_i NONE afterqed [[(Logic.unprotect (concl_of goalstate), [])]] |
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|> Proof.refine (Method.primitive_text (fn _ => goalstate)) |> Seq.hd) |
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end |
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fun total_termination_afterqed defname data [[totality]] lthy = |
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let |
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val FundefCtxData { add_simps, psimps, pinducts, ... } = data |
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val totality = Goal.close_result totality |
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val remove_domain_condition = full_simplify (HOL_basic_ss addsimps [totality, True_implies_equals]) |
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val tsimps = map remove_domain_condition psimps |
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val tinduct = map remove_domain_condition pinducts |
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(* 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 (K (RecfunCodegen.add NONE))] |
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val qualify = NameSpace.qualified defname; |
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in |
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lthy |
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|> add_simps "simps" allatts tsimps |> snd |
160 |
|> note_theorem ((qualify "induct", []), tinduct) |> snd |
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end |
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fun setup_termination_proof name_opt lthy = |
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let |
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val defname = the_default (get_last_fundef (Context.Proof lthy)) name_opt |
167 |
val data = the (get_fundef_data defname (Context.Proof lthy)) |
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168 |
handle Option.Option => raise ERROR ("No such function definition: " ^ defname) |
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169 |
|
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val FundefCtxData {termination, R, ...} = data |
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val domT = domain_type (fastype_of R) |
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val goal = HOLogic.mk_Trueprop (HOLogic.mk_all ("x", domT, mk_acc domT R $ Free ("x", domT))) |
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173 |
in |
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174 |
lthy |
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|> ProofContext.note_thmss_i "" [(("", [ContextRules.rule_del]), [([allI], [])])] |> snd |
176 |
|> ProofContext.note_thmss_i "" [(("", [ContextRules.intro_bang (SOME 1)]), [([allI], [])])] |> snd |
|
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|> ProofContext.note_thmss_i "" |
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[(("termination", [ContextRules.intro_bang (SOME 0)]), |
21602 | 179 |
[([Goal.norm_result termination], [])])] |> snd |
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|> set_termination_rule termination |
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|> Proof.theorem_i NONE (total_termination_afterqed defname data) [[(goal, [])]] |
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end |
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183 |
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184 |
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val add_fundef = gen_add_fundef Specification.read_specification |
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val add_fundef_i = gen_add_fundef Specification.cert_specification |
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187 |
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188 |
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189 |
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190 |
(* congruence rules *) |
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191 |
|
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val cong_add = Thm.declaration_attribute (map_fundef_congs o Drule.add_rule o safe_mk_meta_eq); |
193 |
val cong_del = Thm.declaration_attribute (map_fundef_congs o Drule.del_rule o safe_mk_meta_eq); |
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194 |
|
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195 |
(* Datatype hook to declare datatype congs as "fundef_congs" *) |
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196 |
|
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197 |
|
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fun add_case_cong n thy = |
199 |
Context.theory_map (map_fundef_congs (Drule.add_rule |
|
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200 |
(DatatypePackage.get_datatype thy n |> the |
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201 |
|> #case_cong |
21602 | 202 |
|> safe_mk_meta_eq))) |
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203 |
thy |
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204 |
|
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205 |
val case_cong_hook = fold add_case_cong |
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206 |
|
21602 | 207 |
val setup_case_cong_hook = |
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208 |
DatatypeHooks.add case_cong_hook |
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#> (fn thy => case_cong_hook (Symtab.keys (DatatypePackage.get_datatypes thy)) thy) |
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210 |
|
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211 |
(* setup *) |
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212 |
|
21602 | 213 |
val setup = |
214 |
FundefData.init |
|
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215 |
#> FundefCongs.init |
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216 |
#> TerminationRule.init |
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217 |
#> Attrib.add_attributes |
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218 |
[("fundef_cong", Attrib.add_del_args cong_add cong_del, "declaration of congruence rule for function definitions")] |
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219 |
#> setup_case_cong_hook |
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220 |
#> FundefRelation.setup |
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221 |
|
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222 |
val get_congs = FundefCommon.get_fundef_congs o Context.Theory |
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223 |
|
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224 |
|
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225 |
|
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226 |
(* outer syntax *) |
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227 |
|
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local structure P = OuterParse and K = OuterKeyword in |
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229 |
|
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230 |
val functionP = |
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OuterSyntax.command "function" "define general recursive functions" K.thy_goal |
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232 |
(fundef_parser default_config |
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233 |
>> (fn ((config, fixes), statements) => |
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234 |
Toplevel.local_theory_to_proof (target_of config) (add_fundef fixes statements config #> snd) |
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235 |
#> Toplevel.print)); |
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236 |
|
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237 |
val terminationP = |
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238 |
OuterSyntax.command "termination" "prove termination of a recursive function" K.thy_goal |
22102 | 239 |
(P.opt_target -- Scan.option P.name |
21000 | 240 |
>> (fn (target, name) => |
241 |
Toplevel.print o |
|
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242 |
Toplevel.local_theory_to_proof target (setup_termination_proof name))); |
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243 |
|
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val _ = OuterSyntax.add_parsers [functionP]; |
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val _ = OuterSyntax.add_parsers [terminationP]; |
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1. Function package accepts a parameter (default "some_term"), which specifies the functions
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val _ = OuterSyntax.add_keywords ["sequential", "otherwise"]; |
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247 |
|
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248 |
end; |
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249 |
|
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250 |
|
19585 | 251 |
end |