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REPORTS > KEYWORD > ORACLES:
Reports tagged with Oracles:
TR95-021 | 20th April 1995
Marek Karpinski, Rutger Verbeek

#### On Randomized Versus Deterministic Computation

In contrast to deterministic or nondeterministic computation, it is
a fundamental open problem in randomized computation how to separate
different randomized time classes (at this point we do not even know
how to separate linear randomized time from ${\mathcal O}(n^{\log n})$
randomized time) or how to ... more >>>

TR98-021 | 7th April 1998
Shai Ben-David, Anna Gringauze.

#### On the Existence of Propositional Proof Systems and Oracle-relativized Propositional Logic.

Revisions: 1

We investigate sufficient conditions for the existence of
optimal propositional proof systems (PPS).
We concentrate on conditions of the form CoNF = NF.
We introduce a purely combinatorial property of complexity classes
- the notions of {\em slim} vs. {\em fat} classes.
These notions partition the ... more >>>

TR03-011 | 17th February 2003
Christian Glaßer, Alan L. Selman, Samik Sengupta, Liyu Zhang

#### Disjoint NP-Pairs

We study the question of whether the class DisNP of
disjoint pairs (A, B) of NP-sets contains a complete pair.
The question relates to the question of whether optimal
proof systems exist, and we relate it to the previously
studied question of whether there exists ... more >>>

TR08-005 | 15th January 2008
Scott Aaronson, Avi Wigderson

#### Algebrization: A New Barrier in Complexity Theory

Any proof of P!=NP will have to overcome two barriers: relativization
and natural proofs. Yet over the last decade, we have seen circuit
lower bounds (for example, that PP does not have linear-size circuits)
that overcome both barriers simultaneously. So the question arises of
whether there ... more >>>

TR08-067 | 4th June 2008
Scott Aaronson

#### On Perfect Completeness for QMA

Whether the class QMA (Quantum Merlin Arthur) is equal to QMA1, or QMA with one-sided error, has been an open problem for years. This note helps to explain why the problem is difficult, by using ideas from real analysis to give a "quantum oracle" relative to which QMA and QMA1 ... more >>>

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