trureturingGitHub MATHEMATICAL ATLAS

FixedPoints / CONCEPT

Reachability Safety Dichotomy

A relation-generated least fixed point either certifies all finite paths as safe or supplies a finite path to a bad state.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH2
DOCUMENT LINKS1
THEOREM

Safety and finite counterexample paths form a dichotomy

RELATIONSHIP ATLAS

Every connection, in context.

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Direct recorded relationships
Relational Reachability ExpansionRelational ReachabilityExpansionReachability Safety DichotomyReachability Safety Dichotomy
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

Prerequisites

Certified topology / DOWNSTREAM

Consequences

None recorded in this release.

RELATED KNOWLEDGE

Structural connections

Documents & exposition

Other authored & advisory relationships

None recorded in this release.

LIBRARY / RELEASE VERSIONS

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
2
Layer
D5/S1
Domain
FixedPoints
Node ID
D5/S1/FixedPoints/Reachability/SafetyDichotomy
Repository path
D5/S1/FixedPoints/Reachability/SafetyDichotomy.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

Authority boundary

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.