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PFA · Stochastic

Noisy channel: does it end in a?

A two-state probabilistic automaton over a 10% noisy channel. The accepting mass is 0.9 after an a and 0.1 after a b, so cut-point 0.5 recovers the language "ends in a" despite the noise.

saw bsaw aa, ba, ba, ba, b
The machine as drawn — 2 states, 8 transitions.

The author’s examples, run

a → acceptb → rejectba → acceptab → rejectbbba → acceptaaab → reject