File:The relations between various L-related complexity classes.png
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Size of this preview: 420 × 599 pixels. Other resolutions: 168 × 240 pixels | 336 × 480 pixels | 978 × 1,395 pixels.
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Summary
| Description |
English: The relations between various L-related complexity classes. Produced by tracing out the various class containment statements from https://complexityzoo.net/ |
| Date | |
| Source | Own work |
| Author | Cosmia Nebula |
\begin{tikzcd}
&&& {\mathsf{BPP}} \\
& {\mathsf{P}} \\
& {\mathsf{NC}} \\
& {\mathsf{NC^2}} \\
& {\mathsf{DET}} && {\mathsf{BP•L}} \\
{\mathsf{NL} = \mathsf{coNL}} && {\mathsf{PL} = \mathsf{PL}^{\mathsf{PL}}} & {\mathsf{ZP•L}} \\
{\mathsf{RL}} && {\mathsf{BPL}} \\
& {\mathsf{L=SL}} && {\mathsf{RNC^1}} \\
& {\mathsf{NC^1}}
\arrow[no head, from=2-2, to=1-4]
\arrow[no head, from=3-2, to=2-2]
\arrow[no head, from=4-2, to=3-2]
\arrow[no head, from=5-2, to=4-2]
\arrow[no head, from=5-4, to=1-4]
\arrow[no head, from=6-1, to=5-2]
\arrow[no head, from=6-3, to=5-2]
\arrow[no head, from=6-4, to=5-4]
\arrow[no head, from=7-1, to=6-1]
\arrow[no head, from=7-3, to=6-3]
\arrow[no head, from=7-3, to=6-4]
\arrow[no head, from=8-2, to=7-1]
\arrow[no head, from=8-2, to=7-3]
\arrow[curve={height=18pt}, no head, from=8-4, to=5-4]
\arrow[no head, from=9-2, to=8-2]
\arrow[no head, from=9-2, to=8-4]
\end{tikzcd}
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 00:33, 20 May 2025 | | 978 × 1,395 (67 KB) | wikimediacommons>Cosmia Nebula | Uploaded while editing "L (complexity)" on en.wikipedia.org |
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