trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Guo and Han's Classification of Automatic Apwenian Sequences

Purely automatic sequences over a finite alphabet whose only odd letter is one are apwenian exactly when their parity is period doubling.

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DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH4
DOCUMENT LINKS1
THEOREM

Power-of-two blocks force every even position to be one

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The Initial Parity PatternThe Initial Parity PatternGuo and Han's Classification of Automatic Apwenian SequencesGuo and Han's Classification ofAutomatic Apwenian Sequences
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Lean sourceResearch workspace
Status
Closed
Depth
4
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/Apwenian/GuoHan
Repository path
D5/S3/Combinatorics/Apwenian/GuoHan.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.