Bouncer: Difference between revisions

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[[File:1RB0LB 1LA0RA.png|alt=1RB0LB_1LA0RA|thumb|A close-up of the bouncer {{TM|1RB0LB_1LA0RA}} with 2 states, the smallest number of states for which a bouncer can appear.]]
[[File:1RB0LB 1LA0RA.png|alt=1RB0LB_1LA0RA|thumb|A close-up of the bouncer {{TM|1RB0LB_1LA0RA}} with 2 states, the smallest number of states for which a bouncer can appear.]]
A '''bouncer''' is a Turing machine whose tape head, roughly speaking, alternates back and forth between the two edges of the tape in a linear fasion, growing the tape along one or both edges with each iteration. A bouncer is a possible classification of [[Non-halting Turing machine|non-halting Turing machines]].
A '''bouncer''' is a Turing machine whose tape head, roughly speaking, alternates back and forth between the two edges of the tape in a linear fasion, growing the tape along one or both edges with each iteration. A bouncer is a possible classification of [[Non-halting Turing machine|non-halting Turing machines]].
See [https://github.com/bbchallenge/bbchallenge-proofs/blob/build-latex-pdf/deciders/correctness-deciders.pdf Section 7] of bbchallenge's deciders write-up.


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Revision as of 20:27, 11 November 2024

1RB0LB_1LA0RA
A close-up of the bouncer 1RB0LB_1LA0RA (bbch) with 2 states, the smallest number of states for which a bouncer can appear.

A bouncer is a Turing machine whose tape head, roughly speaking, alternates back and forth between the two edges of the tape in a linear fasion, growing the tape along one or both edges with each iteration. A bouncer is a possible classification of non-halting Turing machines.

See Section 7 of bbchallenge's deciders write-up.