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Top-down lower bounds for depth-three circuits

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What this work says

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

inferredcites →https://doi.org/10.1007/3-540-08353-7_135openalex-snapshot
Graph-theoretic arguments in low-level complexity
inferredcites →https://doi.org/10.1007/bf01137685openalex-snapshot
Lower bounds on the size of bounded depth circuits over a complete basis with logical addition
inferredcites →https://doi.org/10.1007/bf01200404openalex-snapshot
On lower bounds for read-k-times branching programs
inferredcites →https://doi.org/10.1007/bf01744431openalex-snapshot
Parity, circuits, and the polynomial-time hierarchy
inferredcites →https://doi.org/10.1007/bfb0030341openalex-snapshot
A topological view of some problems in complexity theory
inferredcites →https://doi.org/10.1016/0168-0072(83)90038-6openalex-snapshot
∑11-Formulae on finite structures
inferredcites →https://doi.org/10.1109/sfcs.1985.49openalex-snapshot
Separating the polynomial-time hierarchy by oracles
inferredcites →https://doi.org/10.1112/jlms/s1-35.1.85openalex-snapshot
Intersection Theorems for Systems of Sets
inferredcites →https://doi.org/10.1137/0403021openalex-snapshot
Monotone Circuits for Connectivity Require Super-Logarithmic Depth
inferredcites →https://doi.org/10.1145/100216.100253openalex-snapshot
Monotone circuits for matching require linear depth
inferredcites →https://doi.org/10.1145/28395.28404openalex-snapshot
Algebraic methods in the theory of lower bounds for Boolean circuit complexity
inferredcites →https://doi.org/10.1145/800057.808717openalex-snapshot
On monotone formulae with restricted depth

What points at this work

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

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On the Size of Depth-Three Boolean Circuits for Computing Multilinear Functions
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Reconstructing Sets of Strings from Their k-Way Projections: Algorithms & Complexity
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Symmetric-Key Broadcast Encryption: The Multi-sender Case
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Boolean Function Complexity: Advances and Frontiers
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A Shortcut to (Sun)Flowers: Kernels in Logarithmic Space or Linear Time
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Query-to-Communication Lifting for PNP
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Prediction from Partial Information and Hindsight, with Application to Circuit Lower Bounds
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A generalization of diversity for intersecting families
inferred← citeshttps://doi.org/10.1016/j.ic.2024.105192openalex-snapshot
Depth-3 circuits for inner product
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The complexity of depth-3 circuits computing symmetric Boolean functions
inferred← citeshttps://doi.org/10.1016/j.jcta.2017.11.019openalex-snapshot
A degree version of the Hilton–Milner theorem
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Some structural properties of low-rank matrices related to computational complexity
inferred← citeshttps://doi.org/10.1070/rm9905openalex-snapshot
Extremal problems in hypergraph colourings
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Finite limits and monotone computations: the lower bounds criterion
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Explicit Exclusive Set Systems with Applications to Broadcast Encryption
inferred← citeshttps://doi.org/10.1109/focs57990.2023.00063openalex-snapshot
Top-Down Lower Bounds for Depth-Four Circuits
inferred← citeshttps://doi.org/10.1109/isit54713.2023.10206832openalex-snapshot
On the Information Capacity of Nearest Neighbor Representations
inferred← citeshttps://doi.org/10.1109/isit57864.2024.10619486openalex-snapshot
Nearest Neighbor Representations of Neural Circuits
inferred← citeshttps://doi.org/10.1137/1.9781611973099.77openalex-snapshot
A Satisfiability Algorithm for AC 0
inferred← citeshttps://doi.org/10.1137/15m1018319openalex-snapshot
Toward Better Formula Lower Bounds: The Composition of a Function and a Universal Relation
inferred← citeshttps://doi.org/10.1145/2591796.2591828openalex-snapshot
Formulas vs. circuits for small distance connectivity
inferred← citeshttps://doi.org/10.1145/2591796.2591856openalex-snapshot
Toward better formula lower bounds
inferred← citeshttps://doi.org/10.1145/3061640.3061647openalex-snapshot
Open Problems Column
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Open Problems Column
inferred← citeshttps://doi.org/10.1145/3531130.3533371openalex-snapshot
The Regular Languages of First-Order Logic with One Alternation
inferred← citeshttps://doi.org/10.1145/3812802openalex-snapshot
Depth-3 Circuit Lower Bounds for \(k\) -OV
inferred← citeshttps://doi.org/10.37236/7162openalex-snapshot
Coloring Cross-Intersecting Families
inferred← citeshttps://doi.org/10.4213/rm9905openalex-snapshot
Экстремальные задачи в раскрасках гиперграфов
inferred← citeshttps://doi.org/10.4230/lipics.approx-random.2019.56openalex-snapshot
String Matching: Communication, Circuits, and Learning
inferred← citeshttps://doi.org/10.48550/arxiv.1107.3127openalex-snapshot
A Satisfiability Algorithm for AC$^0$
inferred← citeshttps://doi.org/10.48550/arxiv.1504.08235openalex-snapshot
A shortcut to (sun)flowers: Kernels in logarithmic space or linear time
inferred← citeshttps://doi.org/10.48550/arxiv.1703.00494openalex-snapshot
Chvátal's conjecture for downsets of small rank
inferred← citeshttps://doi.org/10.48550/arxiv.1705.03588openalex-snapshot
A Duality Between Depth-Three Formulas and Approximation by Depth-Two
inferred← citeshttps://doi.org/10.48550/arxiv.2101.01757openalex-snapshot
A preliminary result for generalized intersecting families
inferred← citeshttps://doi.org/10.70675/20c06f35z8a0dz4872z83e0z5bc2fafd8555openalex-snapshot
On the complexity of regular languages
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