NDLI: Exact Threshold Circuits

Content Provider	IEEE Xplore Digital Library
Author	Hansen, K.A. Podolskii, V.V.
Copyright Year	2010
Abstract	We initiate a systematic study of constant depth Boolean circuits built using exact threshold gates. We consider both unweighted and weighted exact threshold gates and introduce corresponding circuit classes. We next show that this gives a hierarchy of classes that seamlessly interleave with the well-studied corresponding hierarchies defined using ordinary threshold gates. A major open problem in Boolean circuit complexity is to provide an explicit super-polynomial lower bound for depth two threshold circuits. We identify the class of depth two exact threshold circuits as a natural subclass of these where also no explicit lower bounds are known. Many of our results can be seen as evidence that this class is a strict subclass of depth two threshold circuits --- thus we argue that efforts in proving lower bounds should be directed towards this class.
Starting Page	270
Ending Page	279
File Size	444982
Page Count	10
File Format	PDF
ISBN	9781424472147
ISSN	10930159
e-ISBN	9781424472154
DOI	10.1109/CCC.2010.33
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-06-09
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Complexity theory Polynomials Computational complexity Circuit simulation Boolean functions Computer science Circuit analysis computing Voting Exact Threshold Functions Boolean Circuits Threshold Functions
Content Type	Text
Resource Type	Article

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