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⬢github Rocq Prover · 6 ★ +5 since we first saw it · pushed 35 min ago

jeff87654/busy-beaver

Busy beaver work: an 8-state machine running the BB(7) champion's program with 36 digits (sigma = 12*(2^^37 3)+59, machine-checked in busycoq), analysis in Ligocki's notation

A collection of tiny Turing machines (8, 9, and 10 states) that halt after unimaginably many steps, breaking busy-beaver records. The repo provides detailed analyses of each machine's run in Ligocki's notation, plus fully machine-checked Coq/Rocq proofs (no axioms) of their exact or lower-bound scores, comparing them against prior champions.

Why now: It introduces a BB(10) machine proven to produce more ones than Graham's number, beating existing BB(8)/BB(9)/BB(10) champions — evidently discussed on Hacker News alongside that claim.

Who it is for: Busy-beaver researchers and enthusiasts interested in record-breaking Turing machines and formal verification of their scores.

busy-beaverturing-machinescoqformal-verificationmathematicsrecords

Open on GitHub →

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