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On the method of approximations

Published: 01 February 1989 Publication History
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References

[1]
N. Alon and R. Boppana. The monotone circuit complexity of boolean functions. Combinatorica, 7(1)'1-22, 1987.
[2]
Andreev A. E. On a method for obtaining lower bounds for the complexity of individual monotone functions. Doklady Akademii Nauk, 282(5)'1033-1037, 1985. English translation in: Soviet Mathematics Doklady 31:3, 530-534.
[3]
M. Ajtai, J. Komlos, and E. Szemeredi. An 0(nlogn) sorting network. In Proceedings of the 15tn Annual A CM Symposium on Theory of Computing, Boston, Massachusetts, pages 1-9, ACM SIGACT, ACM, 1983.
[4]
A. E. Andreev. On one method of obtaining constructive lower bounds for the monotone circuit size. Algebra and Logics, 26(1)'3-26, 1987.
[5]
R. Boppana and M. Sipser. Complexity of finite functions. Cambridge, USA, 1988. preprint.
[6]
M. Paterson. Bounded depth circuits over {&, $}. Warwick, Britain, 1986. preprint.
[7]
A. A. Razborov. A lower bound on the monotone network complexity of the logical permanent. Mathematicheskie gametki, 37(6)'887-900, 1985. English translation in: 2(athematical Notes of the Academy of Sciences of the USSR 37:6,485-493.
[8]
A. A. Razborov. Lower bounds on the monotone complexity of some boolean functions. Doklady Akademii Naul:, 281(4) 798- 801, 1985. English translation in: Soviet Mathematics Doklady 31,354- 357.
[9]
A.A. Razborov. Lower bounds for the monotone complexity of boolean functions. In Proceedings of the International Congress of Mathematicians, pages 1478-1487, Berkeley, California, 1986.
[10]
A.A. Razborov. Lower bounds on the size of bounded depth networks over a complete basis with logical addition. Mathematicheskie Zametki, 41 (4)'598-607, 1987. English translation in: Mathematical Notes of the Academy of Sciences of the USSR 41:4, 333-338.
[11]
R. Smolensky. Algebraic methods in the theory of lower bounds for boolean circuit complexity. Ill Proceedings of the 19th Annual A CM Symposium on Theory of Computing, New York City, pages 77-82, ACM SIGACT, ACM, 1987.
[12]
Eva Tardos. The gap between monotone and non-monotone circuit complexity is exponenial. 1989. to appear in Combinatorica.

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cover image ACM Conferences
STOC '89: Proceedings of the twenty-first annual ACM symposium on Theory of computing
February 1989
600 pages
ISBN:0897913078
DOI:10.1145/73007
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 February 1989

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STOC89: 21st Annual ACM Symposium on the Theory of Computing
May 14 - 17, 1989
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STOC '89 Paper Acceptance Rate 56 of 196 submissions, 29%;
Overall Acceptance Rate 1,469 of 4,586 submissions, 32%

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  • (2020)Symbolic determinant identity testing (SDIT) is not a null cone problem; and the symmetries of algebraic varieties2020 IEEE 61st Annual Symposium on Foundations of Computer Science (FOCS)10.1109/FOCS46700.2020.00086(881-888)Online publication date: Nov-2020
  • (2020)Local decoding and testing of polynomials over gridsRandom Structures & Algorithms10.1002/rsa.2093357:3(658-694)Online publication date: 27-Jun-2020
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  • (2018)Monotone circuit lower bounds from resolutionProceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing10.1145/3188745.3188838(902-911)Online publication date: 20-Jun-2018
  • (2015)Correlation bounds against monotone NCProceedings of the 30th Conference on Computational Complexity10.5555/2833227.2833247(392-411)Online publication date: 17-Jun-2015
  • (2014)The Complexity of Propositional ProofsBulletin of Symbolic Logic10.2178/bsl/120335087913:4(417-481)Online publication date: 15-Jan-2014
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  • (2013)On Small Size Approximation ModelsThe Mathematics of Paul Erdős I10.1007/978-1-4614-7258-2_26(425-433)Online publication date: 20-May-2013
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