Easily checked self-reducibility

Hemachandra, Lane A.; Silvestri, Riccardo

doi:10.1007/3-540-57163-9_24

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1994

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“…Of course, it is not possible to obtain absolute lower bounds on the location of 1 Though the EL P 3 -lowness of P=poly BBS86] can be extended to (NP=poly) \ (co-NP=poly) He93], it remains open whether this superclass of (NP \ co-NP)=poly (cf. GB91]) can also be relocated in EL P 3 .…”

Section: Introductionmentioning

confidence: 99%

Locating P/poly optimally in the extended low hierarchy

Köbler

1994

Theoretical Computer Science

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The low hierarchy within NP and the extended low hierarchy h a ve turned out to be very useful in classifying many i n teresting language classes. We relocate P=poly from the third -level EL P 3 (Balc azar et al., 1986) to the third -level EL P 3 of the extended low hierarchy. The location of P=poly in EL P 3 is optimal since, as shown by Allender and Hemachandra (1992), there exist sparse sets that are not contained in the next lower level EL P 2 . A s a consequence of our result, all NP sets in P=poly are relocated from the third -level L P 3 (Ko and Sch oning, 1985) to the third -level L P 3 of the low hierarchy.

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Section: Introductionmentioning

confidence: 99%

Locating P/poly optimally in the extended low hierarchy

Köbler

1994

Theoretical Computer Science

View full text Add to dashboard Cite

show abstract

Easily checked self-reducibility

Cited by 1 publication

References 21 publications

Locating P/poly optimally in the extended low hierarchy

Locating P/poly optimally in the extended low hierarchy

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