Repeated Word List: Difference between revisions

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Constant blocks
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'''Repeated Word List''' (short '''RepWL''') is a [[decider]]. It works by splitting the tape contents into blocks ("words") of a given length <math>l</math>. Consecutive blocks are marked by exponents. If there are more than some predefined natural number, called the repeat threshhold <math>T</math>, consecutive repetitions, the exponent is given as <math>T+</math>. Consecutive blocks with no <math>+</math> in their exponent are called constant blocks.
'''Repeated Word List''' (short '''RepWL''') is a [[decider]]. It works by splitting the tape contents into blocks ("words") of a given length <math>l</math>. Consecutive blocks grouped into powers. If there are moreconsecutive repetitions than a predefined repeat threshhold <math>T</math>, the exponent is given as <math>T+</math>. Consecutive blocks with no <math>+</math> in their exponent are called constant blocks. When the TM head is facing a constant block, the TM is simulated until it either leaves the constant block, halts, or exceeds a predefined step limit <math>B</math>. Once the TM has left the constant block, identical contiguous blocks are regrouped into powers.


[[Category:Deciders]]
[[Category:Deciders]]
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Revision as of 22:10, 20 February 2026

Repeated Word List (short RepWL) is a decider. It works by splitting the tape contents into blocks ("words") of a given length l. Consecutive blocks grouped into powers. If there are moreconsecutive repetitions than a predefined repeat threshhold T, the exponent is given as T+. Consecutive blocks with no + in their exponent are called constant blocks. When the TM head is facing a constant block, the TM is simulated until it either leaves the constant block, halts, or exceeds a predefined step limit B. Once the TM has left the constant block, identical contiguous blocks are regrouped into powers.