trureturingGitHub MATHEMATICAL ATLAS

Words / CONCEPT

Signed-Weight Lower Bound for Period Doubling

Every actual period-doubling prefix requires at least the signed weight of its rounded half.

Closed Authored exposition
DIRECT PREREQUISITES4
DIRECT CONSEQUENCES2
PROOF DEPTH3
DOCUMENT LINKS1
THEOREM

A lower bound for the true prefix palindromic length

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Dyadic Splitting of Signed WeightDyadic Splitting of SignedWeightEven Palindromes in Period DoublingEven Palindromes in PeriodDoublingExact Odd-Palindrome RadiiExact Odd-Palindrome RadiiPalindromic Length and Suffix CutsPalindromic Length and SuffixCutsSigned-Weight Lower Bound for Period DoublingSigned-Weight Lower Bound forPeriod DoublingExact Sparse Off-DiagonalExact Sparse Off-DiagonalTight Palindromic FactorizationsTight PalindromicFactorizations
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
3
Layer
D5/S1
Domain
Words
Node ID
D5/S1/Words/Palindromes/PeriodDoubling/SignedCutLowerBound
Repository path
D5/S1/Words/Palindromes/PeriodDoubling/SignedCutLowerBound.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
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.