NIST

polynomial hierarchy

(definition)

Definition: The classes of languages accepted by k-alternating Turing machines, over all k≥ 0 and with initial state existential or universal. The bottom level (k=0) is the class P. The next level (k=1) comprises NP and co- NP.

Note: From Algorithms and Theory of Computation Handbook, page 29-20, Copyright © 1999 by CRC Press LLC. Appearing in the Dictionary of Computer Science, Engineering and Technology, Copyright © 2000 CRC Press LLC.

Author: CRC-A


Go to the Dictionary of Algorithms and Data Structures home page.

If you have suggestions, corrections, or comments, please get in touch with Paul Black.

Entry modified 17 December 2004.
HTML page formatted Fri Feb 23 10:06:08 2018.

Cite this as:
Algorithms and Theory of Computation Handbook, CRC Press LLC, 1999, "polynomial hierarchy", in Dictionary of Algorithms and Data Structures [online], Vreda Pieterse and Paul E. Black, eds. 17 December 2004. (accessed TODAY) Available from: https://www.nist.gov/dads/HTML/polynomhier.html