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<p>is emulated by a cyclic tag system with m*n productions (Q<sub>1</sub>, ..., Q<sub>n</sub>, -, -, ..., -), where all but the first n productions are the empty string (denoted by ).  The Q<sub>k</sub> are encodings of the respective P<sub>k</sub>, obtained by replacing each symbol of the tag system alphabet by a length-n binary string as follows (these are to be applied also to the initial word of a tag system computation):</p>

<p> a<sub>1</sub> = 100...00 a<sub>2</sub> = 010...00 . . . a<sub>n</sub> = 000...01</p>

<p>That is, a<sub>k</sub> is</p><p>
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