trureturingGitHub MATHEMATICAL ATLAS

ConceptDynamics / CONCEPT

Minimal Predictive Completion Quotient

The maximal forward congruence inside the readout kernel yields the coarsest quotient that preserves both the current readout and the state update.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES4
PROOF DEPTH2
DOCUMENT LINKS1
THEOREM

The predictive quotient is the coarsest completion

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Concept Join Universal PropertyConcept Join Universal PropertyCongruence KernelCongruence KernelMinimal Predictive Completion QuotientMinimal Predictive CompletionQuotientCommuting Completion ExchangeCommuting Completion ExchangePredictive Memory Entropy Lower BoundPredictive Memory Entropy LowerBoundGlobal Profile Quotient UniversalityGlobal Profile QuotientUniversalityPredictive Completion MonotonicityPredictive CompletionMonotonicity
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Lean sourceResearch workspace
Status
Closed
Depth
2
Layer
D5/S3
Domain
ConceptDynamics
Node ID
D5/S3/ConceptDynamics/Sufficiency/MinimalPredictiveCompletionQuotient
Repository path
D5/S3/ConceptDynamics/Sufficiency/MinimalPredictiveCompletionQuotient.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.