  We consider the problem of communication over the binary symmetric channel
with feedback, where the information sequence is made available in a causal,
possibly random, fashion. We develop a real-time variant of the renowned
Horstein scheme and provide analytical guarantees for its error-probability
exponential decay rate. We further use the scheme to stabilize an unstable
control plant over a binary symmetric channel and compare the analytical
guarantees with its empirical performance as well as with those of
anytime-reliable codes.
