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Almost optimal lower bounds for small depth circuits

Published: 01 November 1986 Publication History
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References

[1]
Ajtai M. "Z~-Formulae on Finite Structures", Annals of Pure and Applied Logic 24(1983) 1-48
[2]
Alon N. and Boppana R. "The Monotone Circuit Complexity of Boolean Functions", Submitted to Combinatoriea.
[3]
Andreev A.E. "On one method of obtaining lower bounds of individual monotone function complexity" Dokl. Ak. Nauk. 282 (1085)) pp 1033-1037.
[4]
Boppana R. "Threshold Functions and Bounded Depth Monotone Circuits" Proceedings of I6th Annual ACM Symposium on Theory of Computing, 1984, 475-479. To appear in Journal of Computer and System Sciences, 1986.
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Cai J. "With l)robal)ility One, a Random Oracle Separates I'SI)ACE J'rom tile l)olynomial - Time llierarchy" These proceedings.
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Furst M., Saxe J. and Sipser M., Circuits, and the Polynomial Time Hierarchy", Proceedings of 22nd Annual IEEE Symposium Foundations of Computer Science, 1981, {KPPY} Klawe M.,Paul W, Pippenger Yannakakis M. "On Monotone Formulae Restricted Depth" Proceedings of 16th ACM Symposium on Theory of Computing, 480-487.
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Razborov A.A. "Lower Bounds Monotone Complexity of some Boolean tions" Dokl. Ak. Nauk. 281 (1985), pp iS} Sipser M. "Borel Sets and Circuit Complexity", Proceeding8 of 15th Annual ACM Symposium Theory of Computing, 1983, 61-69.
[8]
Valiant L. "Exponential Lower Bounds Restricted Monotone Circuits" Proceedings Annual ACM Symposium on Theory of ing, 1983, 110-117.
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Yao A. "Separating the Polynomial-Hierarchy by Oracles" Proceedings 26th IEEE Symposium on Foundations of Science, 1985, 1-10.

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cover image ACM Conferences
STOC '86: Proceedings of the eighteenth annual ACM symposium on Theory of computing
November 1986
461 pages
ISBN:0897911938
DOI:10.1145/12130
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 01 November 1986

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STOC86: Eighteenth Annaul ACM Symposium on Theory of Computing
May 28 - 30, 1986
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  • (2024)Computationally Hard Problems for Logic Programs under Answer Set SemanticsACM Transactions on Computational Logic10.1145/367696425:4(1-26)Online publication date: 10-Jul-2024
  • (2024)Formula Size-Depth Tradeoffs for Iterated Sub-permutation Matrix MultiplicationProceedings of the 56th Annual ACM Symposium on Theory of Computing10.1145/3618260.3649628(1386-1395)Online publication date: 10-Jun-2024
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