trureturingGitHub MATHEMATICAL ATLAS

Computability / CONCEPT

Program Cost Filtration

Description length gives finite program sublevels, runtime alone admits infinitely many constant functions, and mixed description-runtime cost is finite again.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

Description, runtime, and mixed-cost sublevels

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Finite Program Level SetsFinite Program Level SetsProgram Cost FiltrationProgram Cost Filtration
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Certified topology / DOWNSTREAM

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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S0
Domain
Computability
Node ID
D5/S0/Computability/DescriptionComplexity/ProgramCostFiltration
Repository path
D5/S0/Computability/DescriptionComplexity/ProgramCostFiltration.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.