author | wenzelm |
Fri, 13 Mar 2009 19:58:26 +0100 | |
changeset 30510 | 4120fc59dd85 |
parent 27468 | 0783dd1dc13d |
child 30528 | 7173bf123335 |
permissions | -rw-r--r-- |
27468 | 1 |
(* Title : HOL/Hyperreal/transfer.ML |
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ID : $Id$ |
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Author : Brian Huffman |
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Transfer principle tactic for nonstandard analysis. |
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*) |
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signature TRANSFER = |
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sig |
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val transfer_tac: Proof.context -> thm list -> int -> tactic |
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val add_const: string -> theory -> theory |
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val setup: theory -> theory |
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end; |
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structure Transfer: TRANSFER = |
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struct |
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structure TransferData = GenericDataFun |
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( |
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type T = { |
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intros: thm list, |
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unfolds: thm list, |
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refolds: thm list, |
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consts: string list |
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}; |
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val empty = {intros = [], unfolds = [], refolds = [], consts = []}; |
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val extend = I; |
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fun merge _ |
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({intros = intros1, unfolds = unfolds1, |
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refolds = refolds1, consts = consts1}, |
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{intros = intros2, unfolds = unfolds2, |
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refolds = refolds2, consts = consts2}) = |
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{intros = Thm.merge_thms (intros1, intros2), |
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unfolds = Thm.merge_thms (unfolds1, unfolds2), |
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refolds = Thm.merge_thms (refolds1, refolds2), |
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consts = Library.merge (op =) (consts1, consts2)} : T; |
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); |
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fun unstar_typ (Type ("StarDef.star",[t])) = unstar_typ t |
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| unstar_typ (Type (a, Ts)) = Type (a, map unstar_typ Ts) |
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| unstar_typ T = T |
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fun unstar_term consts term = |
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let |
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fun unstar (Const(a,T) $ t) = if member (op =) consts a then (unstar t) |
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else (Const(a,unstar_typ T) $ unstar t) |
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| unstar (f $ t) = unstar f $ unstar t |
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| unstar (Const(a,T)) = Const(a,unstar_typ T) |
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| unstar (Abs(a,T,t)) = Abs(a,unstar_typ T,unstar t) |
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| unstar t = t |
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in |
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unstar term |
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end |
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fun transfer_thm_of ctxt ths t = |
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let |
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val thy = ProofContext.theory_of ctxt; |
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val {intros,unfolds,refolds,consts} = TransferData.get (Context.Proof ctxt); |
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val meta = LocalDefs.meta_rewrite_rule ctxt; |
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val ths' = map meta ths; |
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val unfolds' = map meta unfolds and refolds' = map meta refolds; |
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val (_$_$t') = concl_of (MetaSimplifier.rewrite true unfolds' (cterm_of thy t)) |
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val u = unstar_term consts t' |
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val tac = |
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rewrite_goals_tac (ths' @ refolds' @ unfolds') THEN |
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ALLGOALS ObjectLogic.full_atomize_tac THEN |
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match_tac [transitive_thm] 1 THEN |
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resolve_tac [@{thm transfer_start}] 1 THEN |
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REPEAT_ALL_NEW (resolve_tac intros) 1 THEN |
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match_tac [reflexive_thm] 1 |
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in Goal.prove ctxt [] [] (Logic.mk_equals (t,u)) (K tac) end |
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fun transfer_tac ctxt ths = |
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SUBGOAL (fn (t,i) => |
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(fn th => |
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let |
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val tr = transfer_thm_of ctxt ths t |
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val (_$l$r) = concl_of tr; |
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val trs = if l aconv r then [] else [tr]; |
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in rewrite_goals_tac trs th end)) |
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local |
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fun map_intros f = TransferData.map |
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(fn {intros,unfolds,refolds,consts} => |
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{intros=f intros, unfolds=unfolds, refolds=refolds, consts=consts}) |
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fun map_unfolds f = TransferData.map |
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(fn {intros,unfolds,refolds,consts} => |
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{intros=intros, unfolds=f unfolds, refolds=refolds, consts=consts}) |
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fun map_refolds f = TransferData.map |
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(fn {intros,unfolds,refolds,consts} => |
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{intros=intros, unfolds=unfolds, refolds=f refolds, consts=consts}) |
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in |
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val intro_add = Thm.declaration_attribute (map_intros o Thm.add_thm); |
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val intro_del = Thm.declaration_attribute (map_intros o Thm.del_thm); |
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val unfold_add = Thm.declaration_attribute (map_unfolds o Thm.add_thm); |
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val unfold_del = Thm.declaration_attribute (map_unfolds o Thm.del_thm); |
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val refold_add = Thm.declaration_attribute (map_refolds o Thm.add_thm); |
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val refold_del = Thm.declaration_attribute (map_refolds o Thm.del_thm); |
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end |
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fun add_const c = Context.theory_map (TransferData.map |
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(fn {intros,unfolds,refolds,consts} => |
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{intros=intros, unfolds=unfolds, refolds=refolds, consts=c::consts})) |
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val setup = |
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Attrib.add_attributes |
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[("transfer_intro", Attrib.add_del_args intro_add intro_del, |
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"declaration of transfer introduction rule"), |
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("transfer_unfold", Attrib.add_del_args unfold_add unfold_del, |
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"declaration of transfer unfolding rule"), |
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("transfer_refold", Attrib.add_del_args refold_add refold_del, |
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"declaration of transfer refolding rule")] #> |
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Method.add_method ("transfer", Method.thms_ctxt_args (fn ths => fn ctxt => |
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30510
4120fc59dd85
unified type Proof.method and pervasive METHOD combinators;
wenzelm
parents:
27468
diff
changeset
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SIMPLE_METHOD' (transfer_tac ctxt ths)), "transfer principle"); |
27468 | 120 |
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end; |