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The complexity of central slice functions

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Publication:1084375
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DOI10.1016/0304-3975(86)90122-2zbMath0605.94010OpenAlexW2051306408MaRDI QIDQ1084375

Paul E. Dunne

Publication date: 1986

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-3975(86)90122-2


zbMATH Keywords

NP-completenessmonotone circuit complexitycombinational complexityk-slice of a Boolean function


Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Complexity of computation (including implicit computational complexity) (03D15) Boolean functions (06E30)


Related Items (2)

\(\text{PI}_ k\) mass production and an optimal circuit for the Nečiporuk slice ⋮ On monotone simulations on nonmonotone networks



Cites Work

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  • A Boolean function requiring 3n network size
  • On the complexity of slice functions
  • Lower bounds on monotone complexity of the logical permanent
  • More on the complexity of slice functions
  • On monotone simulations on nonmonotone networks
  • Boolean functions whose monotone complexity is of size \(n^ 2\) / log n
  • Negation is Powerless for Boolean Slice Functions


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