trureturingGitHub MATHEMATICAL ATLAS

Dynamics / CONCEPT

Finite Observations of Shadowing Sources

Every continuous observation into a finite discrete alphabet of a finite-open-cover shadowing source has an exact entire finite graph language.

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DIRECT PREREQUISITES1
DIRECT CONSEQUENCES5
PROOF DEPTH1
DOCUMENT LINKS0
THEOREM

Finite observations preserve exact sofic histories

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Shadowing of Mittag-Leffler Inverse LimitsShadowing of Mittag-LefflerInverse LimitsFinite Observations of Shadowing SourcesFinite Observations ofShadowing SourcesBuffered Whole-Path Retained-Cone ExtensionBuffered Whole-Path Retained-Cone ExtensionCompact Observation SubshiftsCompact Observation SubshiftsA Projective Cover ObstructionA Projective Cover ObstructionWhole Path Projection and Finite Prefix DiagnosticsWhole Path Projection andFinite Prefix DiagnosticsFinite Graph Languages as Symbolic SystemsFinite Graph Languages asSymbolic Systems
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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S1
Domain
Dynamics
Node ID
D5/S1/Dynamics/Shadowing/FiniteObservationSofic
Repository path
D5/S1/Dynamics/Shadowing/FiniteObservationSofic.lean
Truth release
sha256:099187d7dec45101df1543521dfae400188aaa00645a3a61e95e49a3c2be8108
Source commit
535a6648df930c3bfdca8a945bfcebdb0d0e1ec7
Source tree
b898bd4223ba7e28b9490cfb432638d5338589a1

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