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A downward translation in the polynomial hierarchy

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Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

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What this work says

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

inferredcites →https://doi.org/10.1006/inco.1995.1119openalex-snapshot
Defying Upward and Downward Separation
inferredcites →https://doi.org/10.1007/3-540-51498-8_4openalex-snapshot
Generalized Boolean hierarchies and Boolean hierarchies over RP
inferredcites →https://doi.org/10.1007/bf01275486openalex-snapshot
BPP has subexponential time simulations unlessEXPTIME has publishable proofs
inferredcites →https://doi.org/10.1007/bf01371729openalex-snapshot
A relationship between difference hierarchies and relativized polynomial hierarchies
inferredcites →https://doi.org/10.1007/bf02090390openalex-snapshot
Limitations of the upward separation technique
inferredcites →https://doi.org/10.1007/bfb0028832openalex-snapshot
On the boolean closure of NP
inferredcites →https://doi.org/10.1007/s002360050109openalex-snapshot
Easy sets and hard certificate schemes
inferredcites →https://doi.org/10.1016/0020-0190(94)90123-6openalex-snapshot
Upward separation for FewP and related classes
inferredcites →https://doi.org/10.1016/0304-3975(90)90099-4openalex-snapshot
Downward translations of equality
inferredcites →https://doi.org/10.1016/s0019-9958(74)90473-2openalex-snapshot
Tally languages and complexity classes
inferredcites →https://doi.org/10.1016/s0019-9958(85)80004-8openalex-snapshot
Sparse sets in NP-P: EXPTIME versus NEXPTIME
inferredcites →https://doi.org/10.1051/ita/1987210404191openalex-snapshot
The difference and truth-table hierarchies for NP
inferredcites →https://doi.org/10.1137/0217078openalex-snapshot
The Boolean Hierarchy I: Structural Properties
inferredcites →https://doi.org/10.1137/0217080openalex-snapshot
The Polynomial Time Hierarchy Collapses If the Boolean Hierarchy Collapses
inferredcites →https://doi.org/10.1137/0218007openalex-snapshot
The Boolean Hierarchy II: Applications
inferredcites →https://doi.org/10.1137/0218027openalex-snapshot
Relativized Polynomial Time Hierarchies Having Exactly K Levels
inferredcites →https://doi.org/10.1137/s0097539790178069openalex-snapshot
The Boolean Hierarchy and the Polynomial Hierarchy: A Closer Connection
inferredcites →https://doi.org/10.1137/s0097539794261970openalex-snapshot
Unambiguous Computation: Boolean Hierarchies and Sparse Turing-Complete Sets
inferredcites →https://doi.org/10.1142/s0129054190000151openalex-snapshot
STRONG SEPARATIONS FOR THE BOOLEAN HIERARCHY OVER RP
inferredcites →https://doi.org/10.1145/219817.219822openalex-snapshot
Worlds to die for

What points at this work

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

inferred← citeshttps://doi.org/10.1006/inco.2000.2884openalex-snapshot
Bounded Queries, Approximations, and the Boolean Hierarchy
inferred← citeshttps://doi.org/10.1007/3-540-62592-5_60openalex-snapshot
R1−tt SN (NP) distinguishes robust many-one and Turing completeness
inferred← citeshttps://doi.org/10.1007/3-540-68535-9_18openalex-snapshot
On Boolean Lowness and Boolean Highness
inferred← citeshttps://doi.org/10.1007/bfb0036186openalex-snapshot
Query order in the polynomial hierarchy
inferred← citeshttps://doi.org/10.1016/s0020-0190(98)00024-6openalex-snapshot
A note on parallel queries and the symmetric-difference hierarchy
inferred← citeshttps://doi.org/10.1016/s0168-0072(99)00008-1openalex-snapshot
Structure and definability in general bounded arithmetic theories
inferred← citeshttps://doi.org/10.1016/s0304-3975(00)00146-8openalex-snapshot
On boolean lowness and boolean highness
inferred← citeshttps://doi.org/10.1109/ccc.1998.694586openalex-snapshot
Two queries
inferred← citeshttps://doi.org/10.1109/ccc.1999.766273openalex-snapshot
Quantum bounded query complexity
inferred← citeshttps://doi.org/10.1109/istcs.1997.595168openalex-snapshot
Commutative queries
inferred← citeshttps://doi.org/10.48550/arxiv.cs/9910002openalex-snapshot
What's Up with Downward Collapse: Using the Easy-Hard Technique to Link Boolean and Polynomial Hierarchy Collapses
inferred← citeshttps://doi.org/10.48550/arxiv.cs/9910004openalex-snapshot
An Introduction to Query Order
inferred← citeshttps://doi.org/10.48550/arxiv.cs/9910008openalex-snapshot
Translating Equality Downwards
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