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Aug 17, 2018 at 7:53 vote accept Domenico Zambella
Aug 17, 2018 at 7:53 comment added Domenico Zambella Indeed a constant sequence produces a counter example. If I understand the definition correctly myself, you have to remain inside $W(\Sigma;v)$ i.e. words may not be constant. So the sequence such contain the word $vv$ and coloring should color words not containing the letter $b$ in red and everything else in blue.
Aug 16, 2018 at 1:03 history answered Pierre Simon CC BY-SA 4.0