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Shallow circuits and concise formulae for multiple addition and multiplication

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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/10.1007/3-540-08138-0_2openalex-snapshot
New bounds on formula size
inferredcites →https://doi.org/10.1007/3-540-18170-9_185openalex-snapshot
The complexity of symmetric boolean functions
inferredcites →https://doi.org/10.1007/bf01366920openalex-snapshot
The complexity of the realization of symmetrical functions by formulae
inferredcites →https://doi.org/10.1007/bf01747074openalex-snapshot
Method of determining lower bounds for the complexity of P-schemes
inferredcites →https://doi.org/10.1016/b978-0-444-88071-0.50019-9openalex-snapshot
The Complexity of Finite Functions
inferredcites →https://doi.org/10.1017/cbo9780511526633.014openalex-snapshot
Optimal Carry Save Networks
inferredcites →https://doi.org/10.1090/mbk/121/32openalex-snapshot
Theory of games and economic behavior
inferredcites →https://doi.org/10.1109/arith.1991.145530openalex-snapshot
Shallow multiplication circuits
inferredcites →https://doi.org/10.1109/fscs.1990.89586openalex-snapshot
Faster Circuits and Shorter Formulae for Multiple Addition, Multiplcation and Symmetric Boolean Functions
inferredcites →https://doi.org/10.1109/pgec.1964.263829openalex-snapshot
Majority Gate Networks
inferredcites →https://doi.org/10.1109/pgec.1964.263830openalex-snapshot
A Suggestion for a Fast Multiplier
inferredcites →https://doi.org/10.1109/t-c.1970.223027openalex-snapshot
On the Addition of Binary Numbers
inferredcites →https://doi.org/10.1109/tec.1961.5219227openalex-snapshot
Signed-Digit Numbe Representations for Fast Parallel Arithmetic
inferredcites →https://doi.org/10.1112/blms/19.1.107openalex-snapshot
PRIMALITY AND CRYPTOGRAPHY (Wiley-Teubner Series in Computer Science)
inferredcites →https://doi.org/10.1137/0211033openalex-snapshot
$\Omega (n\log n)$ Lower Bounds on Length of Boolean Formulas
inferredcites →https://doi.org/10.1145/129712.129753openalex-snapshot
Shallow multiplication circuits and wise financial investments

What points at this work

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

inferred← citeshttps://doi.org/10.1007/978-3-642-02777-2_5openalex-snapshot
Finding Efficient Circuits Using SAT-Solvers
inferred← citeshttps://doi.org/10.1007/978-3-642-32241-9_37openalex-snapshot
Formula Complexity of Ternary Majorities
inferred← citeshttps://doi.org/10.1007/pl00001610openalex-snapshot
Which bases admit non-trivial shrinkage of formulae?
inferred← citeshttps://doi.org/10.1007/s10958-013-1350-5openalex-snapshot
Complexity of computation in finite fields
inferred← citeshttps://doi.org/10.1016/b978-155860798-9/50005-1openalex-snapshot
Multioperand Addition
inferred← citeshttps://doi.org/10.1016/b978-155860798-9/50014-2openalex-snapshot
Bibliography
inferred← citeshttps://doi.org/10.1145/2660267.2660342openalex-snapshot
Optimizing Obfuscation
inferred← citeshttps://doi.org/10.22405/2226-8383-2020-21-1-101-134openalex-snapshot
Умножение
inferred← citeshttps://doi.org/10.3103/s0278641913040080openalex-snapshot
Upper bounds on the depth of symmetric Boolean functions
inferred← citeshttps://doi.org/10.3103/s1066369x14050041openalex-snapshot
Upper bounds for the formula size of symmetric Boolean functions
inferred← citeshttps://doi.org/10.4230/lipics.isaac.2019.37openalex-snapshot
On One-Round Discrete Voronoi Games
inferred← citeshttps://doi.org/10.48550/arxiv.1208.3874openalex-snapshot
Upper bounds for the formula size of the majority function
inferred← citeshttps://doi.org/10.5555/365411.365755openalex-snapshot
Which formulae shrink under random restrictions
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