Billiards: exact checker for the coverage Diophantine lemma - #16
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Constructive witness (q = floor(1/t)+1, a = floor((q-1)/(qt-1))+1, b = q-1) plus a formula-free integer brute-force layer; selftest runs 73,542 exact checks (Farey sweep to denominator 300, window-endpoint adversaries, denominators to 2e50) in about a second. Co-Authored-By: Claude Fable 5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01Vie5FX1bZHL8wLa6UefHGz
Elementary overlapping-interval-chain proof - no continued fractions needed for existence; they govern only the minimal witness. Proof re-derived independently from an external handoff, every equivalence machine-checked exactly, two-layer computational verification. Coverage of (90,180) by W windows is now conditional solely on the SPECULATION birth/window law (queue 11). Skeptic pass pending (lead 1). New mechanism tag: interval-chain-covering. Co-Authored-By: Claude Fable 5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01Vie5FX1bZHL8wLa6UefHGz
…ding Co-Authored-By: Claude Fable 5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01Vie5FX1bZHL8wLa6UefHGz
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Constructive witness (q = floor(1/t)+1, a = floor((q-1)/(qt-1))+1,
b = q-1) plus a formula-free integer brute-force layer; selftest runs
73,542 exact checks (Farey sweep to denominator 300, window-endpoint
adversaries, denominators to 2e50) in about a second.
Co-Authored-By: Claude Fable 5 noreply@anthropic.com
Claude-Session: https://claude.ai/code/session_01Vie5FX1bZHL8wLa6UefHGz