trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Four independent gaps, with no uniform allocation assumption

Exact four-packet reduction of the physical joint-order problem

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES16
PROOF DEPTH14
DOCUMENT LINKS0
THEOREM

Necessity and sufficiency

RELATIONSHIP ATLAS

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Both directions use the same physical partitionBoth directions use the samephysical partitionFour independent gaps, with no uniform allocation assumptionFour independent gaps, with nouniform allocation assumptionComplete balanced four-gap chamberComplete balanced four-gapchamberCombinatorics: C MiddleCombinatorics: C MiddleCombinatorics: C Middle CoreCombinatorics: C Middle CoreAll a>c>max(b,d), b,d>=2, including b=dAll a>c>max(b,d), b,d>=2,including b=dCombinatorics: PhysicalCombinatorics: PhysicalAlgebraAlgebraAll c>=2, a>=2c+1, d>=a, b>=d+1All c>=2, a>=2c+1, d>=a, b>=d+1Combinatorics: ArithmeticCombinatorics: ArithmeticAll c>=4, a>=c+2, d>=a+c+1, b>=d+1All c>=4, a>=c+2, d>=a+c+1,b>=d+1Combinatorics: Broad DataCombinatorics: Broad DataCombinatorics: ParametersCombinatorics: ParametersCombinatorics: BanksCombinatorics: BanksCombinatorics: BanksCombinatorics: BanksOriginal labels and exact unbounded domainOriginal labels and exactunbounded domainCombinatorics: BanksCombinatorics: BanksCombinatorics: Boundary AlgebraCombinatorics: Boundary Algebra
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Lean sourceResearch workspace
Status
Closed
Depth
14
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/Circle/FourNegative/PacketNormalForm/Endpoint
Repository path
D5/S3/Combinatorics/Circle/FourNegative/PacketNormalForm/Endpoint.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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