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However, the time hierarchy theorems provide no means to relate deterministic and non-deterministic complexity, or time and space complexity, so they cast no light on the great unsolved questions of [[complexity theory]]: whether [[Complexity classes P and NP|P and NP]], NP and [[PSPACE]], PSPACE and EXPTIME, or EXPTIME and NEXPTIME are equal or not.
== References ==
* {{Book reference|Author = [[Michael Sipser]] | Year = 1997 | Title = Introduction to the Theory of Computation | Publisher = PWS Publishing | ID = ISBN 0-534-94728-X}} Pages 310–313 of section 9.1: Hierarchy theorems.
* {{Book reference|Author = [[Christos Papadimitriou]] | Year = 1993 | Title = Computational Complexity | Publisher = Addison Wesley | Edition = 1st edition | ID = ISBN 0201530821}} Section 7.2: The Hierarchy Theorem, pp.143–146.
[[Category:Computational complexity theory]][[Category:Theorems]]
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