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3. Among programs with N states and K colors, what is the greatest optimal block size?
$ python Code/Lin_Recur_Detect.py <(echo 1RB0RC_1LB1LD_0RA0LD_1LA1RC)
parameters {
find_min_start_step: true
}
result {
success: true
start_step: 158491
period: 17620
offset: 118
elapsed_time_us: 4248145
}
halt_status {
is_decided: true
inf_reason: INF_LIN_RECUR
}
$ python Code/Quick_Sim.py <(echo 1RB0RC_1LB1LD_0RA0LD_1LA1RC) -n118
...
Steps: Times Applied:
Total: 10^5.2 20
Macro: 10^5.2 19
Chain: 0
Rule: 0
Rules proven: 0
Failed proofs: 0
Prover num past configs: 20
Tape copies: 0
Elapsed time: 0.14205193519592285
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000^inf 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001011101101011010110101101011^1 0101101011011011011010100101010110101101101101101101101010110110100101101101011011011011011011010010110110101101101010^1 1101010101101010101101010010100101010110101101011011011011011011010010101011010110110101001011011011011011011011011010^1 1101101101101011011010010110101101101010101101010010110110110110110110100101010110101101101101101101101101101011011011^1 0101001010101101101101011010110101101101010110110100101001011011010110110110110101001011011010100101101011011011011010^1 1101010010110110101010110101101101011011011010010101011010101011010110110110100101010110101010110101101101101010110101^1 1011011011011010110110101101101101101101101101101011010100101001010101101011011010110110110101011010100101010110110110^1 (1101011011010010110110110101011010100101101101011010101011010110110101101011011010110110110100101001010101101101101000) A> 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000^inf
Num Nonzeros: 10^2.7 500
Turing Machine proven Infinite
Reason: INF_CHAIN_STEP
Quasihalt:
is_decided: true
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Maybe it comes down to some implementation detail, but I can only get it to run by taking the base program, then 5-cell macro on top of that, then 2-cell macro on top of that. That gives a total block size of (2^5)^2 = 1,024.
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