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The authors study the two-user discrete memoryless compound Multiple Access Channel (MAC) with common message and two specially correlated channel states each known non-causally by one of the encoders. Two channel states are correlated in the sense of Slepian-Wolf (SW) in which two correlated states are modeled by three independent states: a common state and two private states. By using superposition coding, binning scheme and jointly decoding, they propose several achievable rates for various cases of the two-user compound MAC with non-causal Slepian-Wolf channel states available at encoders and common message or conferencing encoders.
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