Nuprl Lemma : pv8_p2_ReplicaState_wf
[Cid,Op,RepState,Result:ValueAllType]. [apply_op:Op 
RepState (RepState 
Result)]. [eq_Cid:EqDecider(Cid)].
[init_rstate:RepState]. [ldrs:bag(Id)].
(pv8_p2_ReplicaState(Cid;Op;RepState;Result;apply_op;eq_Cid;init_rstate;ldrs) 
EClass'(RepState
( Id Cid Op) List
(( Id Cid Op) List)
bag(Id Message)))
Proof not projected
Definitions occuring in Statement :
pv8_p2_ReplicaState: pv8_p2_ReplicaState(Cid;Op;RepState;Result;apply_op;eq_Cid;init_rstate;ldrs),
Message: Message,
eclass: EClass(A[eo; e]),
Id: Id,
uall: [x:A]. B[x],
member: t T,
function: x:A B[x],
product: x:A B[x],
list: type List,
int: ,
deq: EqDecider(T),
bag: bag(T),
vatype: ValueAllType
Definitions :
implies: P 
Q,
all: x:A. B[x],
pv8_p2_ReplicaState: pv8_p2_ReplicaState(Cid;Op;RepState;Result;apply_op;eq_Cid;init_rstate;ldrs),
member: t T,
vatype: ValueAllType,
uall: [x:A]. B[x]
Lemmas :
deq_wf,
pv8_p2_decision'base_wf,
pv8_p2_on_decision_wf,
pv8_p2_request'base_wf,
pv8_p2_propose_wf,
pv8_p2_out_tr_wf,
empty-bag_wf,
valueall-type_wf,
pv8_p2_init_replica_wf,
single-bag_wf,
bag_wf,
Id_wf,
Message_wf,
SM2-class-du_wf
\mforall{}[Cid,Op,RepState,Result:ValueAllType]. \mforall{}[apply$_{op}$:Op {}\mrightarrow{} RepState {}\mrightarrow{} (RepSta\000Cte \mtimes{} Result)].
\mforall{}[eq$_{Cid}$:EqDecider(Cid)]. \mforall{}[init$_{rstate}$:RepState]. \mforall{}\000C[ldrs:bag(Id)].
(pv8\_p2\_ReplicaState(Cid;Op;RepState;Result;apply$_{op}$;eq$_{Cid\mbackslash{}\000Cff7d$;init$_{rstate}$;ldrs) \mmember{} EClass'(RepState
\mtimes{} \mBbbZ{}
\mtimes{} (\mBbbZ{}
\mtimes{} Id
\mtimes{} Cid
\mtimes{} Op) List
\mtimes{} ((\mBbbZ{}
\mtimes{} Id
\mtimes{} Cid
\mtimes{} Op) List)
\mtimes{} bag(Id \mtimes{} Message)))
Date html generated:
2012_02_20-PM-07_41_08
Last ObjectModification:
2012_02_06-PM-03_11_26
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