Nuprl Lemma : Paxos-spec4-body_wf
[Info:Type]. [es:EO+(Info)]. [T:Type]. [f:
]. [acceptors:Id List]. [Reserve:EClass()].
[VoteState:EClass(AcceptorState)]. [Proposal,Accept:EClass( 
T)]. [leader: 
Id]. [Decide:EClass(T)].
[OK:EClass(Id )].
(Paxos-spec4-body{i:l}(Info; es; T; f; acceptors; Reserve; VoteState; Proposal; Accept; leader; Decide; OK) 
)
Proof not projected
Definitions occuring in Statement :
Paxos-spec4-body: Paxos-spec4-body{i:l}(Info; es; T; f; acceptors; Reserve; VoteState; Proposal; Accept; leader; Decide; OK),
paxos-acceptor-state: AcceptorState,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
nat: ,
uall: [x:A]. B[x],
prop: ,
member: t T,
function: x:A B[x],
product: x:A B[x],
list: type List,
universe: Type
Definitions :
uall: [x:A]. B[x],
nat: ,
member: t T,
prop: ,
Paxos-spec4-body: Paxos-spec4-body{i:l}(Info; es; T; f; acceptors; Reserve; VoteState; Proposal; Accept; leader; Decide; OK),
and: P 
Q,
all: x:A. B[x],
exists: 
x:A. B[x],
implies: P 
Q,
let: let,
or: P 
Q,
l_exists: (xL. P[x]),
cand: A c B,
top: Top,
so_lambda: 
x.t[x],
assert: 
b,
so_lambda: x y.t[x; y],
btrue: tt,
ifthenelse: if b then t else f fi ,
true: True,
subtype: S 
T,
squash: 
T,
es-E-interface: E(X),
so_apply: x[s],
so_apply: x[s1;s2],
uimplies: b supposing a,
sq_type: SQType(T),
guard: {T},
es-first-at: e is first@ i s.t. e.P[e]
Lemmas :
length_wf,
Id_wf,
no_repeats_wf,
all_wf,
es-E-interface_wf,
exists_wf,
and_wf,
l_member_wf,
es-loc_wf,
equal_wf,
eclass-val_wf,
subtype_base_sq,
bool_subtype_base,
paxos-state-reservation_wf,
paxos-state-name_wf,
MaxVote_wf,
paxos-state-info_wf,
es-interface-top,
nat_wf,
pi1_wf_top,
es-first-at_wf,
event-ordering+_inc,
paxos-acceptor-state_wf,
filter_type,
eq_int_wf,
es-E_wf,
event-ordering+_wf,
bool_wf,
es-interface-predecessors_wf,
assert_wf,
imax-list_wf,
map_wf,
paxos-state-ballot_wf,
or_wf,
le_wf,
unit_wf2,
pi2_wf,
es-le_wf,
eclass_wf,
assert_elim,
in-eclass_wf,
true_wf,
squash_wf,
length-map,
nat_properties,
es-locl_wf
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[T:Type]. \mforall{}[f:\mBbbN{}]. \mforall{}[acceptors:Id List]. \mforall{}[Reserve:EClass(\mBbbN{})].
\mforall{}[VoteState:EClass(AcceptorState)]. \mforall{}[Proposal,Accept:EClass(\mBbbN{} \mtimes{} T)]. \mforall{}[leader:\mBbbN{} {}\mrightarrow{} Id].
\mforall{}[Decide:EClass(T)]. \mforall{}[OK:EClass(Id \mtimes{} \mBbbN{})].
(Paxos-spec4-body\{i:l\}(Info;
es;
T;
f;
acceptors;
Reserve;
VoteState;
Proposal;
Accept;
leader;
Decide;
OK) \mmember{} \mBbbP{})
Date html generated:
2012_01_23-PM-01_41_55
Last ObjectModification:
2012_01_01-AM-11_57_24
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