DSPACE(n)=?NSPACE(n): a degree theoretic characterization

  • Authors:

  • M. Agrawal

  • Affiliations:

  • -

  • Venue:
  • SCT '95 Proceedings of the 10th Annual Structure in Complexity Theory Conference (SCT'95)
  • Year:
  • 1995

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Abstract

It is shown that the following are equivalent: 1. DSPACE(n)=NSPACE(n). 2. There is a /spl les//sub m//sup 1-NL/-degree that coincides with a /spl les//sub m//sup 1-L/ degree. 3. For every class C closed under logspace reductions the /spl les//sub m//sup 1-NL/-complete degree of C coincides with the /spl les//sub m//sup 1-L/-complete degree of C.