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A [[Turing machine]] '''transcript''' or '''transition history''' is the sequence of transitions that the TM executes when started on a blank tape. Halting TMs have finite transcripts, infinite TMs have infinite transcripts. A finite description of an infinite TM transcript is one way to specify the forward behavior of that TM precisely.
A [[Turing machine]] '''transcript''' or '''transition history''' is the sequence of transitions that the TM executes when started on a blank tape. Halting TMs have finite transcripts, infinite TMs have infinite transcripts. A finite description of an infinite TM transcript is one way to specify the forward behavior of that TM precisely.


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== References ==
== References ==
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Latest revision as of 22:40, 10 August 2025

A Turing machine transcript or transition history is the sequence of transitions that the TM executes when started on a blank tape. Halting TMs have finite transcripts, infinite TMs have infinite transcripts. A finite description of an infinite TM transcript is one way to specify the forward behavior of that TM precisely.

Shift rules lead to repeated segments of a TM transcript and vice-versa every repeated segment in a transcript corresponds to a shift rule. If we augment TM transcripts to detect the difference between initial and written blank symbols, then all translated cyclers can be detected by noticing a repeat in the transcript that contains at least one initial blank.[1]

References

  1. Shawn Ligocki. 2024. "TM Transcripts". https://www.sligocki.com/2024/06/12/tm-transcripts.html