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Jun 1, 2022 · Such a machine is known as a Busy Beaver (introduced by Tibor Radó in 1962). The number of steps that the Busy Beaver performs before halting is known as the Busy …
A collection of Busy Beaver Champions including Champions for BB-Adjacent functions. Note that for all functions with the input format f (n,m), n denotes the number of states and m denotes the …
The 2-state 2-symbol Busy Beaver problem BB (2) was solved by Tibor Radó using pencil and paper and announced in his seminal Busy Beaver paper, On Non-Computable Functions. [1]
Jul 27, 2021 · Recall that BB (n), the n th Busy Beaver number (technically, “Busy Beaver shift number”), is defined as the maximum number of steps that an n-state Turing machine, with 1 …
Mar 7, 2024 · As of July 2024, BB (6,2), BB (3,3), BB (2,5) and any combination of more states or symbols has a known 'cryptid' machine that cannot be proven until some currently unsolved …
Jul 11, 2025 · The Busy Beaver number, or BB (n), represents a mathematical problem that tries to calculate the longest possible run-time of a Turing machine recording 1s and 0s on an …
Jul 23, 2020 · The Busy Beaver function, with its incomprehensibly rapid growth, has captivated generations of computer scientists, mathematicians, and hobbyists. In this survey, I offer a …
Oct 9, 2020 · Following Pascal Michel’s excellent historical survey of Busy Beaver candidates, the current champion will be listed along with a few other good programs. Also included, for …
An n-th busy beaver, BB-n or simply 'busy beaver' is a Turing machine that wins the n -state busy beaver game. [5] Depending on definition, it either attains the highest score (denoted by Σ …
What if we had a Turing machine BB, which reads an input n and generates the value of BB(n)? Then, we could use this Turing machine to solve the Halting Problem!
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