Show simple item record

Models of deterministic systems

dc.contributor.authorBurks, Arthur W. (Arthur Walter)en_US
dc.date.accessioned2006-09-11T19:39:58Z
dc.date.available2006-09-11T19:39:58Z
dc.date.issued1974-12en_US
dc.identifier.citationBurks, Arthur W.; (1974). "Models of deterministic systems." Mathematical Systems Theory 8(4): 295-308. <http://hdl.handle.net/2027.42/48019>en_US
dc.identifier.issn0025-5661en_US
dc.identifier.issn1433-0490en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/48019
dc.description.abstractThe definition of “model of a system” in terms of a homomorphism of the states of the system is evaluated and an alternative definition in terms of sequence generators is proposed. Sequence generators are finite graphs whose points represent complete states of a system. Sequence generators include finite automata and other information processing systems as special cases. It is shown how to define models in terms of a projection operator which applies to any sequence generator which has an output projection and yields a new sequence generator. A model produced by the projection operator is embedded in the system it models. The notion of embedding is discussed informally and some questions raised about the relations of deterministic, indeterministic, and probabilistic models and systems.en_US
dc.format.extent1029765 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherSpringer-Verlagen_US
dc.subject.otherComputer Scienceen_US
dc.subject.otherComputational Mathematics and Numerical Analysisen_US
dc.subject.otherTheory of Computationen_US
dc.titleModels of deterministic systemsen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Computer and Communication Sciences, The University of Michigan, 48104, Ann Arbor, Michigan, USAen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/48019/1/224_2005_Article_BF01780577.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/BF01780577en_US
dc.identifier.sourceMathematical Systems Theoryen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


Files in this item

Show simple item record

Accessibility: If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.