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On closure properties of bounded two-sided error complexity classes

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-16079-5openalex-snapshot
Complexity and Structure
inferredcites →https://doi.org/10.1007/978-1-4612-4478-3_9openalex-snapshot
The Power of Counting
inferredcites →https://doi.org/10.1007/978-1-4614-8806-4_7openalex-snapshot
Information and Computation
inferredcites →https://doi.org/10.1007/bf02088291openalex-snapshot
Generalized lowness and highness and probabilistic complexity classes
inferredcites →https://doi.org/10.1007/bfb0020802openalex-snapshot
Randomized polynomials, threshold circuits, and the polynomial hierarchy
inferredcites →https://doi.org/10.1007/bfb0036487openalex-snapshot
Two remarks on the power of counting
inferredcites →https://doi.org/10.1007/bfb0076220openalex-snapshot
Probabilistic machines, oracles, and quantifiers
inferredcites →https://doi.org/10.1016/0020-0190(82)90139-9openalex-snapshot
Some observations on the probabilistic algorithms and NP-hard problems
inferredcites →https://doi.org/10.1016/0020-0190(83)90044-3openalex-snapshot
BPP and the polynomial hierarchy
inferredcites →https://doi.org/10.1016/0020-0190(87)90036-6openalex-snapshot
Random oracles separate PSPACE from the polynomial-time hierarchy
inferredcites →https://doi.org/10.1016/0022-0000(81)90021-0openalex-snapshot
A note on structure and looking back applied to the relative complexity of computable functions
inferredcites →https://doi.org/10.1016/0022-0000(88)90010-4openalex-snapshot
Graph isomorphism is in the low hierarchy
inferredcites →https://doi.org/10.1016/0022-0000(88)90028-1openalex-snapshot
Arthur-Merlin games: A randomized proof system, and a hierarchy of complexity classes
inferredcites →https://doi.org/10.1016/0022-0000(88)90037-2openalex-snapshot
Probabilistic quantifiers and games
inferredcites →https://doi.org/10.1016/0022-0000(89)90020-2openalex-snapshot
Probabilistic complexity classes and lowness
inferredcites →https://doi.org/10.1016/0022-0000(89)90033-0openalex-snapshot
With probability one, a random oracle separates PSPACE from the polynomial-time hierarchy
inferredcites →https://doi.org/10.1016/0304-3975(82)90039-1openalex-snapshot
Reductions on NP and P-selective sets
inferredcites →https://doi.org/10.1016/0304-3975(82)90085-8openalex-snapshot
Strong nondeterministic polynomial-time reducibilities
inferredcites →https://doi.org/10.1016/0304-3975(86)90135-0openalex-snapshot
NP is as easy as detecting unique solutions
inferredcites →https://doi.org/10.1016/0304-3975(93)90214-eopenalex-snapshot
Probabilistic polynomials, AC0 functions and the polynomial-time hierarchy
inferredcites →https://doi.org/10.1016/s0019-9958(82)80019-3openalex-snapshot
Robustness of probabilistic computational complexity classes under definitional perturbations
inferredcites →https://doi.org/10.1016/s0019-9958(86)80044-4openalex-snapshot
A decisive characterization of BPP
inferredcites →https://doi.org/10.1109/sfcs.1988.21916openalex-snapshot
Hardness vs. randomness
inferredcites →https://doi.org/10.1109/sfcs.1989.63527openalex-snapshot
On the computational power of PP and (+)P
inferredcites →https://doi.org/10.1137/0210008openalex-snapshot
Relative to a Random Oracle A , ${\bf P}^A \ne {\bf NP}^A \ne \text{co-}{\bf NP}^A $ with Probability 1
inferredcites →https://doi.org/10.1137/0220053openalex-snapshot
PP is as Hard as the Polynomial-Time Hierarchy
inferredcites →https://doi.org/10.1142/9789812794499_0035openalex-snapshot
COUNTING HIERARCHIES: POLYNOMIAL TIME AND CONSTANT DEPTH CIRCUITS
inferredcites →https://doi.org/10.1145/12130.12133openalex-snapshot
With probability one, a random oracle separates PSPACE from the polynomial-time hierarchy
inferredcites →https://doi.org/10.1145/22145.22192openalex-snapshot
Trading group theory for randomness
inferredcites →https://doi.org/10.1145/800105.803405openalex-snapshot
Reducibility, randomness, and intractibility (Abstract)

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Computational Politics: Electoral Systems
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Separations by random oracles and “Almost” classes for generalized reducibilities
inferred← citeshttps://doi.org/10.1007/3-540-61440-0_143openalex-snapshot
On type-2 probabilistic quantifiers
inferred← citeshttps://doi.org/10.1007/978-1-4613-3394-4_14openalex-snapshot
Measure One Results in Computational Complexity Theory
inferred← citeshttps://doi.org/10.1007/bf01184814openalex-snapshot
Strong Self-Reducibility Precludes Strong Immunity
inferred← citeshttps://doi.org/10.1051/ita:1999100openalex-snapshot
Immunity and Simplicity for Exact Counting and Other Counting Classes
inferred← citeshttps://doi.org/10.1109/ccc.1996.507666openalex-snapshot
Collapsing oracle-tape hierarchies
inferred← citeshttps://doi.org/10.1137/s0097539701385958openalex-snapshot
Lattice Embeddings for Abstract Bounded Reducibilities
inferred← citeshttps://doi.org/10.1145/297096.297106openalex-snapshot
Power balance and apportionment algorithms for the United States Congress
inferred← citeshttps://doi.org/10.48550/arxiv.cs/9809001openalex-snapshot
Immunity and Simplicity for Exact Counting and Other Counting Classes
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