be a source of independent identically distributed (i.i.d.) discrete random variables with joint probability mass function
and common part
in the sense of Witsenhausen, Gacs, and Körner. It is shown that such a source can be sent with arbitrarily small probability of error over a multiple access channel (MAC)
with allowed codes
if there exist probability mass functions
, such that
lifts region includes the multiple access channel region and the Slepian-Wolf data compression region as special cases.