(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
If you have suggestions, corrections, or comments, please get in touch with Paul Black.
Entry modified 17 December 2004.
HTML page formatted Wed Mar 13 12:42:46 2019.
Cite this as:
Algorithms and Theory of Computation Handbook, CRC Press LLC, 1999, "polynomial hierarchy", in
Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed. 17 December 2004. (accessed TODAY)
Available from: https://www.nist.gov/dads/HTML/polynomhier.html