Z.-L. Zhang, D. A. Mix Barrington, and J. Tarui, Computing symmetric functions with AND/OR circuits and a single MAJORITY gate, in Proceedings of the 10th Annual Symposium on Theoretical Aspects of Computing, pages 535-544, 1993. 9  Home/Search Document Details and Download
Summary Related Articles Check |
This paper is cited in the following contexts:
An Exact Characterization of Symmetric Functions in qAC°[2] - Lu (3 citations) (Correct)
....shows that all the symmetric functions in qAC 0 are also in AC 0 . So we have the following: ffl Suppose that f is a symmetric function. Then f is in AC 0 iff f is in qAC 0 iff f n is constant except within both ends of length log O(1) n. For qPERCEPTRON, Zhang, Barrington, and Tarui [13] gave the following characterization: ffl A symmetric function f is in qPERCEPTRON iff f n has log O(1) n many value changes. Damm and Lenz [5] attempted a characterization of AC 0 [2] but did not quite succeed. Their characterization was based on some unproven assumption. Proceeding along ....
Z.-L. Zhang, D. A. Mix Barrington, and J. Tarui, Computing symmetric functions with AND/OR circuits and a single MAJORITY gate, in Proceedings of the 10th Annual Symposium on Theoretical Aspects of Computing, pages 535-544, 1993. 9
An Exact Characterization of Symmetric Functions in qAC°[2] - Lu (3 citations) (Correct)
....shows that all the symmetric functions in qAC 0 are also in AC 0 . So we have the following: ffl Suppose that f is a symmetric function. Then f is in AC 0 iff f is in qAC 0 iff f n is constant except within both ends of length log O(1) n. For qPERCEPTRON, Zhang, Barrington, and Tarui [13] gave the following characterization: ffl A symmetric function f is in qPERCEPTRON iff f n has log O(1) n many value changes. Damm and Lenz [5] attempted a characterization of AC 0 [2] but did not quite succeed. Their characterization was based on some unproven assump2 tion. Proceeding ....
Z.-L. Zhang, D. A. Mix Barrington, and J. Tarui, Computing symmetric functions with AND/OR circuits and a single MAJORITY gate, In Proceedings of the 10th Annual Symposium on Theoretical Aspects of Computing, pages 535-544, 1993. 9
Symmetric Functions in AC 0 [2] - Damm, Lenz (1993) (2 citations) (Correct)
....Boolean functions. Characterizations are known for the classes S AC 0 , S AC 0 2 , and for S AC 0 2 [q] for primes q ( 6, 1, 3, 4] A characterization of symmetric functions computed by d perceptrons 1 of quasipolynomial size (i.e. size bounded by 2 log O(1) n ) is given in [12]. Under a certain condition on the functions Fourier coeffiients symmetric functions can also be characterized in another perceptron like model ( 11] But up to now we don t even have a characterization for S AC 0 [2] We will prove one result towards giving such a characterization. The proof ....
Z.-L. Zhang, D. A. Mix Barrington, and J. Tarui. Computing symmetric functions with AND/OR circuits and a single MAJORITY gate. In Symposium on Theoretical Aspects of Computing, 1993.
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC