Using Autoreducibility to Separate Complexity Classes

  title={Using Autoreducibility to Separate Complexity Classes},
  author={Harry Buhrman and Lance Fortnow and Leen Torenvliet},
A language is autoreducible if it can be reduced to itself by a Turing machine that does not ask its own input to the oracle. We use autoreducibility to separate exponential space from doubly exponential space by showing that all Turing-complete sets for exponential space are autoreducible but there exists some Turing-complete set for doubly exponential space that is not. We immediately also get a separation of logarithmic space from polynomial space. Although we already know how to separate… CONTINUE READING

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A comparison of polynomial time reducibilities

  • A. Selman
  • Journal of Symbolic Logic
  • 1973

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