trureturingGitHub MATHEMATICAL ATLAS

Words / CONCEPT

Canonical Two-Sided Base-Phi Expansion

Natural numbers have a unique finite two-sided canonical base-phi expansion.

Closed Authored exposition
DIRECT PREREQUISITES4
DIRECT CONSEQUENCES2
PROOF DEPTH10
DOCUMENT LINKS1
THEOREM

Canonical two-sided digits exist uniquely

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Direct recorded relationships
Termination of Zeckendorf Successor CarriesTermination of ZeckendorfSuccessor CarriesScale: FibonacciScale: FibonacciWords: Base Phi Carry TransducerWords: Base Phi CarryTransducerWords: Base Phi Negative BridgeWords: Base Phi Negative BridgeCanonical Two-Sided Base-Phi ExpansionCanonical Two-Sided Base-PhiExpansionWords: Base Phi Negative Prefix Trident SupportWords: Base Phi Negative PrefixTrident SupportCanonical Negative Base-Phi Tail BoundsCanonical Negative Base-PhiTail Bounds
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
10
Layer
D5/S1
Domain
Words
Node ID
D5/S1/Words/Expansions/BasePhiCanonicalExpansion
Repository path
D5/S1/Words/Expansions/BasePhiCanonicalExpansion.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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