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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > SL:
Reports tagged with SL:
TR96-039 | 27th June 1996
Carme Alvarez, Raymond Greenlaw

A Compendium of Problems Complete for Symmetric Logarithmic Space

Comments: 2

We provide a compendium of problems that are complete for
symmetric logarithmic space (SL). Complete problems are one method
of studying this class for which programming is nonintuitive. A
number of the problems in the list were not previously known to be
complete. A ... more >>>


TR25-178 | 15th November 2025
Sam Buss, Anant Dhayal, Valentine Kabanets, Antonina Kolokolova, Sasank Mouli

A Logspace Constructive Proof of L=SL

We formalize the proof of Reingold's Theorem that SL=L (STOC'05) in the theory of bounded arithmetic VL, which corresponds to ``logspace reasoning''. As a consequence, we get that VL=VSL, where VSL is the theory of bounded arithmetic for ``symmetric-logspace reasoning''. This resolves in the affirmative an old open question from ... more >>>




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