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The problem
Does there exist a bounded bi-ideal which can be transduced to the Thue-Morse word?
Exposition
The Thue-Morse word: t=0110 1001 1001 0110 1001 0110 0110 1001 1001 0110 0110 1001 0110 1001 1001 0110 ...
 
Professional interests Combinatorics on words and algebra (with an emphasis on the algebraic automata theory).
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