E (complexity)

E (complexity)

In computational complexity theory, the complexity class E is the set of decision problems that can be solved by a deterministic Turing machine in time 2O(n) and is therefore equal to the complexity class DTIME(2O(n)).

E is less important to complexity theory than the similar class EXPTIME because it is not closed under polynomial-time many-one reductions.

References

* E. Allender and M. Strauss. Measure on small complexity classes with applications for BPP, "Proceedings of IEEE FOCS'94", pp. 807-818, 1994. ECCC [http://eccc.uni-trier.de/eccc-reports/1994/TR94-004/ TR94-004] , DIMACS [http://dimacs.rutgers.edu/TechnicalReports/abstracts/1994/94-18.html TR 94-18] .
* R. Book. On languages accepted in polynomial time, "SIAM Journal on Computing" 1(4):281-287, 1972.
* R. Book. Comparing complexity classes, "Journal of Computer and System Sciences" 3(9):213-229, 1974.
* R. Impagliazzo and G. Tardos. Decision versus search problems in super-polynomial time, in "Proceedings of IEEE FOCS 1989", pp. 222-227, 1989.
* O. Watanabe. Comparison of polynomial time completeness notions, "Theoretical Computer Science" 53:249-265, 1987.

External links

* [http://qwiki.caltech.edu/wiki/Complexity_Zoo#e E] at the Complexity Zoo


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