trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Refutation of the LeSaulnier-Vijay lower-density conjecture

A staged set of positive integers admits a progression-free permutation and has lower density at least four fifteenths, exceeding one quarter.

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DIRECT PREREQUISITES3
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS0
THEOREM

The quarter-density conjecture is false

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Counting the Eleven-Adic Interval ConstructionCounting the Eleven-AdicInterval ConstructionEnumeration in increasing rankEnumeration in increasing rankFinite binary reversal avoids arithmetic progressionsFinite binary reversal avoidsarithmetic progressionsRefutation of the LeSaulnier-Vijay lower-density conjectureRefutation of the LeSaulnier-Vijay lower-density conjecture
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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/Permutation/LeSaulnierVijayLowerDensityRefutation
Repository path
D5/S3/Combinatorics/Permutation/LeSaulnierVijayLowerDensityRefutation.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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