trureturingGitHub MATHEMATICAL ATLAS

ConceptDynamics / CONCEPT

Refinement and Observable Event Algebras

Realized-image refinement is dual to kernels and observable event algebras.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES5
PROOF DEPTH3
DOCUMENT LINKS1
THEOREM

Refinement, kernels, and event algebras are equivalent

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Concept Classes and Kernel RelationsConcept Classes and KernelRelationsRefinement and Observable Event AlgebrasRefinement and Observable EventAlgebrasDominance Event-Algebra CharacterizationDominance Event-AlgebraCharacterizationEvent Separation CharacterizationEvent SeparationCharacterizationObservable-Event Algebra RepresentationObservable-Event AlgebraRepresentationAtoms of a Finite Observable-Event AlgebraAtoms of a Finite Observable-Event AlgebraObservable-Event Complement PersistenceObservable-Event ComplementPersistence
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
3
Layer
D5/S3
Domain
ConceptDynamics
Node ID
D5/S3/ConceptDynamics/RefinementAlgebra/ObservableEventAlgebraDuality
Repository path
D5/S3/ConceptDynamics/RefinementAlgebra/ObservableEventAlgebraDuality.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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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.