Collatz Conditional Cycles — Updates Updates on the conditional formal proof of no non-trivial Collatz cycles in Lean 4. urn:doi:10.5281/zenodo.19790406 2026-04-29T00:00:00Z Eric Merle https://orcid.org/0009-0008-7940-402X CC-BY-SA 4.0 https://collatz-lab.org/assets/favicon-32.png https://collatz-lab.org/assets/og-image.png v0.5.1 — Bilingual EN-canonical website + interactive dependency graph + Cmd+K search urn:collatz-cycles:v0.5.1 2026-04-29T14:00:00Z 2026-04-29T14:00:00Z Major UX upgrade to the public site:

  • EN-canonical localization with browser locale detection (FR fallback only for fr-* locales)
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]]> v0.5.0 — JAR submission v1.1 + main result featured on homepage urn:collatz-cycles:v0.5.0 2026-04-29T13:00:00Z 2026-04-29T13:00:00Z JAR submission v1.1 reflected on the website:

  • "Main result" highlight box on homepage
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  • Mermaid diagram with main theorem node + 3 external conditions
  • Axiom profile table on /papers/ page
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]]> v0.4.0 — Cycle 4 ChatGPT Lemmas patched + Cycle 5 Knight 2026 verified urn:collatz-cycles:v0.4.0 2026-04-29T10:00:00Z 2026-04-29T10:00:00Z Research cycles 4 and 5:

  • Cycle 4 (CGS-7): 6 ChatGPT lemmas diagnosed and patched for Mathlib v4.27
  • Cycle 5 (Knight 2026): Section 5 (high cycles) verified UNCONDITIONAL via 2-adic argument; Section 3 (circuits) Baker-dependent
  • Mea culpa #24 (Salikhov 2007 not 2008) and #25 (Bost-Charles 2022 invented) documented
]]> v0.3.0 — JAR paper submitted to Journal of Automated Reasoning urn:doi:10.5281/zenodo.19790406 2026-04-27T00:00:00Z 2026-04-27T00:00:00Z Paper submitted to JAR Springer:

On the non-existence of non-trivial Collatz cycles: a conditional formal proof in Lean 4 with documented structural obstructions

28 pages, kernel-checked Lean 4, 3 axiom profile (propext, Classical.choice, Quot.sound) + 3 documented external hypotheses (BakerSeparation, BarinaVerification, DerivedLargeKBound).

DOI: 10.5281/zenodo.19790406

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