trureturingGitHub MATHEMATICAL ATLAS

ConceptDynamics / CONCEPT

Finite Identification Capacity Bound

Injective joint readout bounds a finite state space by the capacity of its dependent outcome space, equivalently by its base-two logarithmic cost at positive capacity.

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THEOREM

Injective joint readout bounds state cardinality

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Finite Identification Capacity BoundFinite Identification CapacityBoundFinite Identification Output CapacityFinite Identification OutputCapacity
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Status
Closed
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0
Layer
D5/S3
Domain
ConceptDynamics
Node ID
D5/S3/ConceptDynamics/Experiment/FiniteIdentificationCapacityBound
Repository path
D5/S3/ConceptDynamics/Experiment/FiniteIdentificationCapacityBound.lean
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sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
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745bf90812f7175f83e1235688249f9495f23bfc
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143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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