Nuprl Definition : msgs-interface-delivered-with-omissions
msgs-interface-delivered-with-omissions(f;es;X;faulty;failures;ids) ==
  (#(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, 
classrel: v ∈ X(e), 
es-info: info(e), 
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)
FDL editor aliases : 
msgs-interface-delivered-with-omissions
Latex:
msgs-interface-delivered-with-omissions(f;es;X;faulty;failures;ids)  ==
    (\#(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_10
Last ObjectModification:
2013_05_21-PM-08_54_33
Theory : messages
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