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

Home Index