Upper and Lower Bounds on Continuous-Time Computation
We consider various extensions and modifications of Shannon's General Purpose Analog Computer, which is a model of computation by differential equations in continuous time. We show that several classical computation classes have natural analog counterparts, including the primitive recursive functions, the elementary functions, the levels of the Grzegorczyk hierarchy, and the arithmetical and analytical hierarchies.
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|Date of creation:||Jun 2000|
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Web page: http://www.santafe.edu/sfi/publications/working-papers.html
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- Manuel Lameiras Campagnolo & Cristopher Moore & José Félix Costa, 2000. "An Analog Characterization of the Subrecursive Functions," Working Papers 00-01-005, Santa Fe Institute.
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