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A Compendium of Problems Complete for Symmetric Logarithmic Space (1996)  (Make Corrections)  (7 citations)
Carme Alvarez, Raymond Greenlaw
Electronic Colloquium on Computational Complexity (ECCC)



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Abstract: . The paper's main contributions are a compendium of problems that are complete for symmetric logarithmic space (SL), a collection of material relating to SL, a list of open problems, and an extension to the number of problems known to be SL-complete. Complete problems are one method of studying SL, a class for which programming is nonintuitive. Our exposition helps make the class SL less mysterious and more accessible to other researchers. Key words. Completeness, SL, space complexity,... (Update)

Context of citations to this paper:   More

.... viewpoint of computational complexity, since there are quite few natural and nonobvious SL complete problems in formal language theory, see [2]. 2 Preliminaries We assume some familiarity with computational complexity, see e.g. 21] in particular with circuit complexity, see...

...a given graph has more than one connected component. UCC belongs to SL but it seems easier than UGAP and it is not known to be complete for SL [19]. 2 Preliminaries We assume familiarity with basic notions of complexity theory such as can be found in the standard books in the...

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6:   Symmetric logspace is closed under complement - Nisan, Ta-Shma - 1995
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BibTeX entry:   (Update)

C. ' Alvarez and R. Greenlaw. A compendium of problems complete for symmetric logarithmic space. Technical Report TR96-039, Electronic Colloquium on Computational Complexity, http://www.eccc.uni-trier.de/eccc/, 1996. http://citeseer.ist.psu.edu/alvarez96compendium.html   More

@article{ alvarez96compendium,
    author = "Carme Alvarez and Raymond Greenlaw",
    title = "A Compendium of Problems Complete for Symmetric Logarithmic Space",
    journal = "Electronic Colloquium on Computational Complexity (ECCC)",
    volume = "3",
    number = "039",
    year = "1996",
    url = "citeseer.ist.psu.edu/alvarez96compendium.html" }
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356   Computers and Intractability: A Guide to the Theory of NP-Co.. (context) - Garey, Johnson - 1979
274   A catalog of complexity classes (context) - Johnson - 1990
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168   A taxonomy of problems with fast parallel algorithms (context) - Cook - 1985
150   Computational Complexity (context) - Papadimitriou - 1994
97   Limits to Parallel Computation: P-Completeness Theory - Greenlaw, Hoover et al. - 1995
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32   Space-bounded hierarchies and probabilistic computations (context) - Ruzzo, Simon et al. - 1984
29   Problems complete for deterministic logarithmic space (context) - Cook, McKenzie - 1987
26   space trade-offs for reversible computation (context) - Bennett - 1989
25   Symmetric logspace is closed under complement - Nisan, Ta-Shma - 1995
18   New problems complete for nondeterministic log space (context) - Jones, Lien et al. - 1976
17   Symmetric complementation (context) - Reif - 1984
8   Deterministic algorithms for undirected s-t connectivity usi.. - Barnes, Ruzzo - 1991
6   Complete problems for symmetric logspace involving free grou.. (context) - Stewart - 1991
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4   Parallel algorithms in graph theory: Planarity testing (context) - Janos - 1982
3   Refining known results on the generalized word problem for f.. (context) - Stewart - 1992
3   Information Processing Letters (context) - Jenner, for - 1995
3   On reversible automata (context) - Pin - 1992
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2   Optimal tree ranking is in NC (context) - Torre, Greenlaw et al. - 1992
2   the languages accepted by finite reversible automata (context) - Pin - 1987
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1   In Formal Language Theory (context) - Monien, Sudborough et al. - 1980
1   a complexity hierarchy between L and NL (context) - Cho, Huynh - 1988
1   and Shiyu Zhou (context) - Armoni, Ta-Shma et al. - 1997



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