Nuprl Lemma : pv8_p1_LeaderState_nlp

Cid,Op:ValueAllType. eq_Cid:EqDecider(Cid). ldrs_uid:Id  .
  NormalLProgrammable'(  Id?    ((  Id  Cid  Op) List);pv8_p1_LeaderState(Cid;Op;eq_Cid;ldrs_uid))


Proof not projected




Definitions occuring in Statement :  pv8_p1_LeaderState: pv8_p1_LeaderState(Cid;Op;eq_Cid;ldrs_uid) Message: Message normal-locally-programmable: NormalLProgrammable(A;X) Id: Id bool: all: x:A. B[x] unit: Unit function: x:A  B[x] product: x:A  B[x] union: left + right list: type List int: deq: EqDecider(T) vatype: ValueAllType
Definitions :  btrue: tt lt_int: i <z j bnot: b le_int: i z j bag-map: bag-map(f;bs) reduce: reduce(f;k;as) concat: concat(ll) bag-union: bag-union(bbs) bfalse: ff map: map(f;as) ycomb: Y bag-combine: xbs.f[x] eq_int: (i = j) ifthenelse: if b then t else f fi  lifting-gen-rev: lifting-gen-rev(n;f;bags) lifting-loc-gen-rev: lifting-loc-gen-rev(n;bags;loc;f) lifting2-loc: lifting2-loc(f;loc;abag;bbag) select: l[i] lifting-gen-list-rev: lifting-gen-list-rev(n;bags) empty-bag: {} lifting-loc-2: lifting-loc-2(f) true: True squash: T so_lambda: x.t[x] Accum-loc-class: Accum-loc-class(f;init;X) Memory-loc-class: Memory-loc-class(f;init;X) Memory3: Memory3 member: t  T pv8_p1_LeaderState: pv8_p1_LeaderState(Cid;Op;eq_Cid;ldrs_uid) bool: unit: Unit all: x:A. B[x] sq_stable: SqStable(P) uimplies: b supposing a so_apply: x[s] implies: P  Q uall: [x:A]. B[x] vatype: ValueAllType
Lemmas :  vatype_wf deq_wf pv8_p1_preempted'base_nlp pv8_p1_adopted'base_nlp pv8_p1_propose'base_nlp disjoint-union-comb-nlp bag_wf empty-bag_wf lifting-loc-2_wf rec-combined-loc-class-opt-1-nlp pv8_p1_preempted'base_wf pv8_p1_adopted'base_wf pv8_p1_propose'base_wf disjoint-union-comb_wf pv8_p1_init_leader_wf single-bag_wf pv8_p1_when_preempted_wf pv8_p1_when_adopted_wf pv8_p1_on_propose_wf disjoint-union-tr_wf Message_wf Accum-loc-class_wf valueall-type_wf sq_stable__valueall-type list-valueall-type equal-valueall-type Id-valueall-type int-valueall-type union-valueall-type product-valueall-type bool_wf unit_wf2 Id_wf primed-class-opt-nlp

\mforall{}Cid,Op:ValueAllType.  \mforall{}eq$_{Cid}$:EqDecider(Cid).  \mforall{}ldrs$_{uid}\mbackslash{}f\000Cf24:Id  {}\mrightarrow{}  \mBbbZ{}.
    NormalLProgrammable'(\mBbbZ{}  \mtimes{}  Id?
    \mtimes{}  \mBbbB{}
    \mtimes{}  ((\mBbbZ{}  \mtimes{}  Id  \mtimes{}  Cid  \mtimes{}  Op)  List);pv8\_p1\_LeaderState(Cid;Op;eq$_{Cid}$;ldrs$\mbackslash{}ff\000C5f{uid}$))


Date html generated: 2012_02_20-PM-07_31_13
Last ObjectModification: 2012_02_06-PM-01_53_35

Home Index