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The Cognitive InterFerence Channel (C-IFC) consists of a classical two-user interference channel in which the message of one user (the "Primary" user) is non-causally available at the transmitter of the other user (the "Cognitive" user). They obtain the capacity of the semi-deterministic C-IFC: a discrete memoryless C-IFC in which the cognitive receiver output is a noise-less deterministic function of the channel inputs. They, then use the insights obtained from the capacity-achieving scheme for the semi-deterministic model to derive new, unified and tighter constant gap results for the complex-valued Gaussian C-IFC.
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