Symmetric Turing Machine - Symmetric Log Space Complexity

Symmetric Log Space Complexity

  • SSPACE(S(n)) is the class of the languages accepted by a symmetric Turing machine running in space O(S(n))
  • SL is the class of problems solvable by a nondeterministic Turing machine in logarithmic space, such that
    1. If the answer is 'yes,' one or more computation paths accept.
    2. If the answer is 'no,' all paths reject.
    3. If the machine can make a nondeterministic transition from configuration A to configuration B, then it can also transition from B to A. (This is what 'symmetric' means.)
    4. It was proved that SL = CoSL.

Read more about this topic:  Symmetric Turing Machine

Famous quotes containing the words complexity, space and/or log:

    In times like ours, where the growing complexity of life leaves us barely the time to read the newspapers, where the map of Europe has endured profound rearrangements and is perhaps on the brink of enduring yet others, where so many threatening and new problems appear everywhere, you will admit it may be demanded of a writer that he be more than a fine wit who makes us forget in idle and byzantine discussions on the merits of pure form ...
    Marcel Proust (1871–1922)

    The flattering, if arbitrary, label, First Lady of the Theatre, takes its toll. The demands are great, not only in energy but eventually in dramatic focus. It is difficult, if not impossible, for a star to occupy an inch of space without bursting seams, cramping everyone else’s style and unbalancing a play. No matter how self-effacing a famous player may be, he makes an entrance as a casual neighbor and the audience interest shifts to the house next door.
    Helen Hayes (1900–1993)

    Why do you see the speck in your neighbor’s eye, but do not notice the log in your own eye?
    Bible: New Testament, Matthew 7:3.