Nuprl Definition : msgs-interface-with-omissions-sub
msgs-interface-with-omissions-sub{i:l}(X;failures;ids;f) ==
∀es:EO+(Message(f))
∃faulty:bag(Id)
((#(faulty) ≤ failures)
∧ (∀e:E. ∀dmsg:Interface.
(dmsg ∈ X(e)
⇒ (¬loc(e) ↓∈ faulty)
⇒ loc(e) ↓∈ ids
⇒ (↓∃e':E. ∃delay:ℤ. ((e < e') ∧ (dmsg = make-msg-interface(delay;loc(e');info(e')) ∈ Interface))))))
Definitions occuring in Statement :
make-msg-interface: make-msg-interface(i;l;m),
msg-interface: Interface,
Message: Message(f),
classrel: v ∈ X(e),
es-info: info(e),
event-ordering+: EO+(Info),
es-causl: (e < e'),
es-loc: loc(e),
es-E: E,
Id: Id,
le: A ≤ B,
all: ∀x:A. B[x],
exists: ∃x:A. B[x],
not: ¬A,
squash: ↓T,
implies: P ⇒ Q,
and: P ∧ Q,
int: ℤ,
equal: s = t ∈ T,
bag-member: x ↓∈ bs,
bag-size: #(bs),
bag: bag(T)
FDL editor aliases :
msgs-interface-with-omissions-sub
Latex:
msgs-interface-with-omissions-sub\{i:l\}(X;failures;ids;f) ==
\mforall{}es:EO+(Message(f))
\mexists{}faulty:bag(Id)
((\#(faulty) \mleq{} failures)
\mwedge{} (\mforall{}e:E. \mforall{}dmsg:Interface.
(dmsg \mmember{} X(e)
{}\mRightarrow{} (\mneg{}loc(e) \mdownarrow{}\mmember{} faulty)
{}\mRightarrow{} loc(e) \mdownarrow{}\mmember{} ids
{}\mRightarrow{} (\mdownarrow{}\mexists{}e':E. \mexists{}delay:\mBbbZ{}. ((e < e') \mwedge{} (dmsg = make-msg-interface(delay;loc(e');info(e'))))))))
Date html generated:
2016_05_17-AM-09_01_18
Last ObjectModification:
2013_05_21-PM-08_54_28
Theory : messages
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