Bell eats counter: Difference between revisions
Jump to navigation
Jump to search
m coq -> rocq |
Added 5 state example |
||
| Line 15: | Line 15: | ||
[https://bbchallenge.org/1RB3LB---3RA0LA_2LA3LB4RB1RB2RA 1RB3LB---3RA0LA_2LA3LB4RB1RB2RA] | [https://bbchallenge.org/1RB3LB---3RA0LA_2LA3LB4RB1RB2RA 1RB3LB---3RA0LA_2LA3LB4RB1RB2RA] | ||
[https://bbchallenge.org/1RB0RB_0RC1RB_1LD1RC_0LE0LD_1RA1LE 1RB0RB_0RC1RB_1LD1RC_0LE0LD_1RA1LE] | |||
[[Category:Zoology]] | [[Category:Zoology]] | ||
Revision as of 16:09, 26 August 2026
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 Rocq 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)