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$\Omega (n\log n)$ Lower Bounds on Length of Boolean Formulas

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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/bf00264601openalex-snapshot
Complexity hierarchies for Boolean functions
inferredcites →https://doi.org/10.1016/0022-0000(78)90038-7openalex-snapshot
The circuit depth of symmetric boolean functions
inferredcites →https://doi.org/10.1016/0304-3975(76)90035-9openalex-snapshot
Lower bounds for the size of expressions for certain functions in d-ary logic
inferredcites →https://doi.org/10.1016/0304-3975(78)90021-xopenalex-snapshot
An explicit construction of short monotone formulae for the monotone symmetric functions
inferredcites →https://doi.org/10.1016/s0049-237x(08)70524-xopenalex-snapshot
Lengths of Formulas and Elimination of Quantifiers I
inferredcites →https://doi.org/10.1137/0206054openalex-snapshot
On Relating Time and Space to Size and Depth
inferredcites →https://doi.org/10.1145/321574.321587openalex-snapshot
The Logical Complexity of Geometric Properties in the Plane

What points at this work

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

inferred← citeshttps://doi.org/10.1006/jcss.1997.1287openalex-snapshot
Better Lower Bounds for Monotone Threshold Formulas
inferred← citeshttps://doi.org/10.1007/3-540-13331-3_57openalex-snapshot
Bounds for Hodes - Specker theorem
inferred← citeshttps://doi.org/10.1007/3-540-57529-4_58openalex-snapshot
On some communication complexity problems related to threshold functions
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/10.1007/978-3-642-72905-8_17openalex-snapshot
Boolean Complexity and Ramsey Theorems
inferred← citeshttps://doi.org/10.1007/bf01271371openalex-snapshot
Shallow circuits and concise formulae for multiple addition and multiplication
inferred← citeshttps://doi.org/10.1007/bf02017492openalex-snapshot
Parallelizable algebras
inferred← citeshttps://doi.org/10.1007/bfb0024011openalex-snapshot
On the planar monotone computation of threshold functions
inferred← citeshttps://doi.org/10.1007/bfb0024012openalex-snapshot
Planar circuits have short specifications
inferred← citeshttps://doi.org/10.1007/bfb0030331openalex-snapshot
A lower bound on complexity of branching programs
inferred← citeshttps://doi.org/10.1016/0020-0190(87)90137-2openalex-snapshot
A note on the formula size of the “mod k” functions
inferred← citeshttps://doi.org/10.1016/0020-0190(90)90036-wopenalex-snapshot
On the depth complexity of the counting functions
inferred← citeshttps://doi.org/10.1016/0304-3975(90)90080-2openalex-snapshot
Lower bounds to the complexity of symmetric Boolean functions
inferred← citeshttps://doi.org/10.1016/0304-3975(94)00048-nopenalex-snapshot
On almost bad Boolean bases
inferred← citeshttps://doi.org/10.1016/b978-0-444-88071-0.50019-9openalex-snapshot
The Complexity of Finite Functions
inferred← citeshttps://doi.org/10.1070/rm2003v058n05abeh000667openalex-snapshot
Monotone Boolean functions
inferred← citeshttps://doi.org/10.1109/sct.1990.113958openalex-snapshot
Perfect hashing, graph entropy, and circuit complexity
inferred← citeshttps://doi.org/10.1109/sfcs.1991.185384openalex-snapshot
Better bounds for threshold formulas
inferred← citeshttps://doi.org/10.1137/0215040openalex-snapshot
Bounds for Width Two Branching Programs
inferred← citeshttps://doi.org/10.1137/s0895480190283595openalex-snapshot
Lower Bounds on Formula Size of Boolean Functions Using Hypergraph Entropy
inferred← citeshttps://doi.org/10.1515/dma-2017-0003openalex-snapshot
Upper bounds for the size and the depth of formulae for MOD-functions
inferred← citeshttps://doi.org/10.22331/q-2024-04-09-1312openalex-snapshot
Quantum advantage in temporally flat measurement-based quantum computation
inferred← citeshttps://doi.org/10.3103/s1066369x14050041openalex-snapshot
Upper bounds for the formula size of symmetric Boolean functions
inferred← citeshttps://doi.org/10.4213/dm1373openalex-snapshot
Верхние оценки сложности и глубины формул для MOD-функций
inferred← citeshttps://doi.org/10.4213/rm667openalex-snapshot
Монотонные булевы функции
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