Nuprl Lemma : Paxos-spec6-body_wf
[Info:Type]. [es:EO+(Info)]. [failset:Id List]. [T:Type]. [f:
]. [acceptors:Id List].
[Reserve,NoProposal,NewBallot:EClass()]. [VoteState:EClass(AcceptorState)]. [Proposal:EClass( 
T)].
[AcceptOrReject:EClass( T 
)]. [leader: 
Id]. [Decide,Input:EClass(T)]. [Vote:EClass(Id )].
[Collect:EClass( 
T)].
(Paxos-spec6-body{i:l}(Info;es;T;f;acceptors;
Reserve;VoteState;Proposal;
AcceptOrReject;leader;Decide;
Vote;Input;Collect;NoProposal;
NewBallot;failset) 
')
Proof not projected
Definitions occuring in Statement :
Paxos-spec6-body: Paxos-spec6-body,
paxos-acceptor-state: AcceptorState,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
bool: ,
nat: ,
uall: [x:A]. B[x],
prop: ,
member: t T,
function: x:A B[x],
product: x:A B[x],
list: type List,
int: ,
universe: Type
Definitions :
infix_ap: x f y,
es-causl: (e < e'),
es-interface-val: val(X,e),
squash: 
T,
bfalse: ff,
real: 
,
grp_car: |g|,
le_int: i 
z j,
empty-bag: {},
single-bag: {x},
lt_int: i <z j,
spread: spread def,
intensional-universe: IType,
permutation: permutation(T;L1;L2),
quotient: x,y:A//B[x; y],
spreadn: spread3,
es-filter-image: f[X],
pair: <a, b>,
unit: Unit,
paxos-state-info: Info(s),
paxos-state-name: Name(s),
paxos-state-reservation: Reservation(s),
void: Void,
true: True,
guard: {T},
btrue: tt,
in-eclass: e 
X,
sq_type: SQType(T),
decide: case b of inl(x) => s[x] | inr(y) => t[y],
eclass-val: X(e),
pi1: fst(t),
pi2: snd(t),
atom: Atom,
apply: f a,
es-base-E: es-base-E(es),
token: "$token",
ifthenelse: if b then t else f fi ,
record-select: r.x,
es-loc: loc(e),
limited-type: LimitedType,
deq: EqDecider(T),
id-deq: IdDeq,
deq-member: deq-member(eq;x;L),
filter: filter(P;l),
natural_number: $n,
multiply: n * m,
add: n + m,
length: ||as||,
cand: A c
B,
bag: bag(T),
no_repeats: no_repeats(T;l),
es-tagged-true-class: Tagged_tt(X),
MaxVote: MaxVote(es;T;Vote;e;s),
es-class-causal-rel-fail: es-class-causal-rel-fail,
paxos-collect-def: paxos-collect-def(es;f;T;leader;Collect;VoteState;Input),
iff: P 
Q,
paxos-decide-def: paxos-decide-def(es;f;leader;T;Decide;Proposal;Vote),
so_lambda: so_lambda(x,y,z.t[x; y; z]),
es-class-causal-mrel-fail: es-class-causal-mrel-fail,
es-locl: (e <loc e'),
assert: 
b,
so_lambda: 
x.t[x],
alle-lt: e<e'.P[e],
es-le: e loc e' ,
exists: 
x:A. B[x],
union: left + right,
or: P 
Q,
top: Top,
es-E-interface: E(X),
paxos-acceptor-state: AcceptorState,
bool: ,
subtype: S 
T,
event_ordering: EO,
es-E: E,
lambda: x.A[x],
fpf: a:A fp-> B[a],
strong-subtype: strong-subtype(A;B),
eq_atom: x =a y,
eq_atom: eq_atom$n(x;y),
dep-isect: Error :dep-isect,
record+: record+,
ge: i 
j ,
less_than: a < b,
uimplies: b supposing a,
product: x:A B[x],
and: P Q,
uiff: uiff(P;Q),
subtype_rel: A r B,
all: x:A. B[x],
implies: P Q,
false: False,
not: 
A,
le: A B,
int: ,
set: {x:A| B[x]} ,
axiom: Ax,
Paxos-spec6-body: Paxos-spec6-body,
prop: ,
function: x:A B[x],
so_lambda: x y.t[x; y],
eclass: EClass(A[eo; e]),
nat: ,
equal: s = t,
event-ordering+: EO+(Info),
Id: Id,
list: type List,
universe: Type,
member: t T,
uall: [x:A]. B[x],
isect: 
x:A. B[x],
MaAuto: Error :MaAuto,
CollapseTHEN: Error :CollapseTHEN,
Unfold: Error :Unfold
Lemmas :
eclass_wf,
nat_wf,
Id_wf,
event-ordering+_wf,
member_wf,
es-E_wf,
event-ordering+_inc,
bool_wf,
paxos-acceptor-state_wf,
not_wf,
es-E-interface_wf,
es-le_wf,
assert_wf,
alle-lt_wf,
es-locl_wf,
es-class-causal-mrel-fail_wf,
paxos-decide-def_wf,
le_wf,
iff_wf,
paxos-collect-def_wf,
es-class-causal-rel-fail_wf,
es-tagged-true-class_wf,
MaxVote_wf,
no_repeats_wf,
length_wf1,
nat_properties,
filter_wf,
deq-member_wf,
id-deq_wf,
es-interface-top,
es-loc_wf,
es-base-E_wf,
subtype_rel_self,
eclass-val_wf,
pi1_wf,
pi2_wf,
pi1_wf_top,
top_wf,
subtype_base_sq,
bool_subtype_base,
assert_elim,
in-eclass_wf,
paxos-state-reservation_wf,
paxos-state-name_wf,
paxos-state-info_wf,
es-filter-image_wf,
permutation_wf,
bag_wf,
intensional-universe_wf,
subtype_rel_wf,
ifthenelse_wf,
lt_int_wf,
single-bag_wf,
empty-bag_wf,
le_int_wf,
bfalse_wf,
false_wf,
true_wf
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[failset:Id List]. \mforall{}[T:Type]. \mforall{}[f:\mBbbN{}]. \mforall{}[acceptors:Id List].
\mforall{}[Reserve,NoProposal,NewBallot:EClass(\mBbbN{})]. \mforall{}[VoteState:EClass(AcceptorState)].
\mforall{}[Proposal:EClass(\mBbbN{} \mtimes{} T)]. \mforall{}[AcceptOrReject:EClass(\mBbbN{} \mtimes{} T \mtimes{} \mBbbB{})]. \mforall{}[leader:\mBbbN{} {}\mrightarrow{} Id].
\mforall{}[Decide,Input:EClass(T)]. \mforall{}[Vote:EClass(Id \mtimes{} \mBbbN{} \mtimes{} \mBbbB{})]. \mforall{}[Collect:EClass(\mBbbN{} \mtimes{} \mBbbZ{} \mtimes{} T)].
(Paxos-spec6-body\{i:l\}(Info;es;T;f;acceptors;
Reserve;VoteState;Proposal;
AcceptOrReject;leader;Decide;
Vote;Input;Collect;NoProposal;
NewBallot;failset) \mmember{} \mBbbP{}')
Date html generated:
2011_10_20-PM-04_33_47
Last ObjectModification:
2011_06_18-PM-02_01_26
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