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
- If the answer is 'yes,' one or more computation paths accept.
- If the answer is 'no,' all paths reject.
- 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.)
- 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 (18711922)
“In bourgeois society, the French and the industrial revolution transformed the authorization of political space. The political revolution put an end to the formalized hierarchy of the ancien regimé.... Concurrently, the industrial revolution subverted the social hierarchy upon which the old political space was based. It transformed the experience of society from one of vertical hierarchy to one of horizontal class stratification.”
—Donald M. Lowe, U.S. historian, educator. History of Bourgeois Perception, ch. 4, University of Chicago Press (1982)
“There was now no road further, the river being the only highway, and but half a dozen log huts, confined to its banks, to be met with for thirty miles. On either hand, and beyond, was a wholly uninhabited wilderness, stretching to Canada.”
—Henry David Thoreau (18171862)