Bell eats counter: Difference between revisions
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Bell eats counter is | '''Bell eats counter''' is an informal class of Turing machines. A typical Turing machine in this class has the following behavior: | ||
* It has both a bell and a counter on the tape. | * It has both a bell and a counter on the tape. | ||
* Increment: when the bouncer in the bell | * Increment: when the bouncer in the bell finishes a period, the counter is increased by one. | ||
* Overflow: when the bouncer in the bell overflows, the bell eats the lowest digit of the counter (the counter is halved), and the bouncer in the bell is reset. | * Overflow: when the bouncer in the bell overflows, the bell eats the lowest digit of the counter (the counter is halved), and the bouncer in the bell is reset. | ||
[https://github.com/ccz181078/busycoq/blob/BB6/verify/BECv1.v A Coq proof of a kind of typical behavior doesn't halt.] | |||
== Examples == | == Examples == | ||
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[https://bbchallenge.org/1RB3LB---3RA0LA_2LA3LB4RB1RB2RA 1RB3LB---3RA0LA_2LA3LB4RB1RB2RA] | [https://bbchallenge.org/1RB3LB---3RA0LA_2LA3LB4RB1RB2RA 1RB3LB---3RA0LA_2LA3LB4RB1RB2RA] | ||
[[Category:Zoology]] | |||
Latest revision as of 22:28, 10 August 2025
Bell eats counter is an informal class of Turing machines. A typical Turing machine in this class has the following behavior:
- It has both a bell and a counter on the tape.
- Increment: when the bouncer in the bell finishes a period, the counter is increased by one.
- Overflow: when the bouncer in the bell overflows, the bell eats the lowest digit of the counter (the counter is halved), and the bouncer in the bell is reset.
A Coq proof of a kind of typical behavior doesn't halt.
Examples
1RB1RE_0RC1RD_1LA1RC_1LC---_1LF0RE_0LF0LA
1RB---_1RC0RA_1LD1RA_1LE0LD_0RE1RF_0RB0LF
1RB0LE_0RC---_1LC0RD_0RB1RA_1LF1LE_0LA1LF (more complex than typical ones)