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Cycles in logical nets

dc.contributor.authorHolland, John Henryen_US
dc.date.accessioned2006-04-13T14:59:27Z
dc.date.available2006-04-13T14:59:27Z
dc.date.issued1960-09en_US
dc.identifier.citationHolland, John H. (1960/09)."Cycles in logical nets." Journal of the Franklin Institute 270(3): 202-226. <http://hdl.handle.net/2027.42/32404>en_US
dc.identifier.urihttp://www.sciencedirect.com/science/article/B6V04-49WT9YD-2YK/2/4433877db0df40b604e445e6a3da8a75en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/32404
dc.description.abstractThis paper investigates the influence of cycles in a logical net upon the complexity of its behavior. The investigation is mainly concerned with two questions: 1. 1. A logical net with a periodic input sequence produces a periodic output sequence; how is the spectrum of periodic outputs related to the level of cycle complexity?2. 2. Is there a level of complexity c (suitably defined) such that any behavior possible for a fixed logical net can be realized by a logical net constructed only of cycles of complexity c' [les] c? The first and more difficult question is fully answered only in the case of nets constructed of cycles having a feedback coefficient r = 1 (suitably defined). The second question is answered in the negative for individual cycles and it is conjectured that a similar answer holds for nets in general.en_US
dc.format.extent1400522 bytes
dc.format.extent3118 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherElsevieren_US
dc.titleCycles in logical netsen_US
dc.typeArticleen_US
dc.rights.robotsIndexNoFollowen_US
dc.subject.hlbsecondlevelScience insert into Categories values (General)en_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumLogic of Computers Group, The University of Michigan, Ann Arbor, Mich., USAen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/32404/1/0000479.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1016/0016-0032(60)90590-1en_US
dc.identifier.sourceJournal of the Franklin Instituteen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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