Nuprl Lemma : pv8_p2_main_programmable

Cid,Op,RepState,Result:ValueAllType. apply_op:Op  RepState  (RepState  Result). eq_Cid:EqDecider(Cid).
init_rstate:RepState. ldrs,reps:bag(Id).
  Programmable'(Id  Message;pv8_p2_main(Cid;Op;RepState;Result;apply_op;eq_Cid;init_rstate;ldrs;reps))


Proof not projected




Definitions occuring in Statement :  pv8_p2_main: pv8_p2_main(Cid;Op;RepState;Result;apply_op;eq_Cid;init_rstate;ldrs;reps) Message: Message programmable: Programmable(A;X) Id: Id all: x:A. B[x] function: x:A  B[x] product: x:A  B[x] deq: EqDecider(T) bag: bag(T) vatype: ValueAllType
Definitions :  so_lambda: x.t[x] prop: member: t  T pv8_p2_main: pv8_p2_main(Cid;Op;RepState;Result;apply_op;eq_Cid;init_rstate;ldrs;reps) all: x:A. B[x] so_apply: x[s] implies: P  Q uall: [x:A]. B[x] vatype: ValueAllType
Lemmas :  vatype_wf deq_wf bag_wf pv8_p2_Replica_wf class-at-loc-bounded pv8_p2_main_nlp pv8_p2_main_wf valueall-type_wf Message-valueall-type Id-valueall-type product-valueall-type Id_wf squash_wf Message_wf programmable-if-bounded-locally-programmable Message-inhabited

\mforall{}Cid,Op,RepState,Result:ValueAllType.  \mforall{}apply$_{op}$:Op  {}\mrightarrow{}  RepState  {}\mrightarrow{}  (RepState  \000C\mtimes{}  Result).
\mforall{}eq$_{Cid}$:EqDecider(Cid).  \mforall{}init$_{rstate}$:RepState.  \mforall{}ldrs\000C,reps:bag(Id).
    Programmable'(Id  \mtimes{}  Message;pv8\_p2\_main(Cid;Op;RepState;Result;apply$_{op}$;eq\mbackslash{}\000Cff24_{Cid}$;init$_{rstate}$;ldrs;reps))


Date html generated: 2012_02_20-PM-07_42_15
Last ObjectModification: 2012_02_06-PM-03_10_31

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