Nuprl Lemma : rsc4-validity
[Cmd:ValueAllType]. [cmdeq:EqDecider(Cmd)]. [locs,clients:bag(Id)]. [coeff:{2...}]. [flrs:
]. [es:EO'].
((StandardAssumptions(rsc4_Main) es)
for every d in Base([notify];
Cmd) there is an
earlier p in rsc4_propose'base(Cmd) such that
d = p)
Proof
Definitions occuring in Statement :
rsc4_stdma: StandardAssumptions(rsc4_Main),
rsc4_propose'base: rsc4_propose'base(Cmd),
base-headers-msg-val: Base(hdr;typ),
Message: Message,
causal-class-relation: causal-class-relation,
event-ordering+: EO+(Info),
Id: Id,
int_upper: {i...},
nat: ,
uall: [x:A]. B[x],
implies: P Q,
apply: f a,
product: x:A B[x],
cons: [car / cdr],
nil: [],
natural_number: $n,
int: ,
token: "$token",
equal: s = t,
deq: EqDecider(T),
bag: bag(T),
vatype: ValueAllType
Definitions :
uall: [x:A]. B[x],
cand: A c
B,
prop: 
,
or: P 
Q,
true: True,
so_lambda: 
x.t[x],
name: Name,
es-header: es-header(es;e),
rsc4_headers_no_inputs: rsc4_headers_no_inputs(),
and: P Q,
exists: 
x:A. B[x],
squash: 
T,
all: x:A. B[x],
member: t 
T,
rsc4_decided'base: rsc4_decided'base(Cmd),
implies: P Q,
causal-class-relation: causal-class-relation,
vatype: ValueAllType,
rev_implies: P 
Q,
iff: P Q,
sq_stable: SqStable(P),
so_apply: x[s],
uiff: uiff(P;Q),
uimplies: b supposing a,
std-ma: StandardMessageAutomaton(X;hdrs),
message-constraint: message-constraint{i:l}(es;X;hdrs),
rsc4_stdma: StandardAssumptions(rsc4_Main),
nat: ,
int_upper: {i...},
subtype: S 
T,
msg-header: msg-header(m)
Lemmas :
vatype_wf,
deq_wf,
bag_wf,
int_upper_wf,
nat_wf,
event-ordering+_wf,
rsc4_stdma_wf,
es-E_wf,
base-headers-msg-val_wf,
rsc4_propose'base_wf,
es-causle_weakening,
es-causl_transitivity2,
Message_wf,
event-ordering+_inc,
rsc4-notify,
es-loc_wf,
rsc4_main_wf,
Id_wf,
classrel_wf,
es-causl_wf,
and_wf,
exists_wf,
squash_wf,
rsc4_headers_no_inputs_wf,
msg-header_wf,
l_member_wf,
name_wf,
cons_member,
valueall-type_wf,
sq_stable__valueall-type,
int-valueall-type,
product-valueall-type,
base-noloc-classrel-make-Msg,
rsc4-validity-property
\mforall{}[Cmd:ValueAllType]. \mforall{}[cmdeq:EqDecider(Cmd)]. \mforall{}[locs,clients:bag(Id)]. \mforall{}[coeff:\{2...\}]. \mforall{}[flrs:\mBbbN{}].
\mforall{}[es:EO'].
((StandardAssumptions(rsc4\_Main) es)
{}\mRightarrow{} for every d in Base([notify];\mBbbZ{} \mtimes{} Cmd) there is an
earlier p in rsc4\_propose'base(Cmd) such that
d = p)
Date html generated:
2012_02_20-PM-05_03_10
Last ObjectModification:
2012_02_02-PM-02_16_52
Home
Index