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arXiv · 0807.4073

Rational streams coalgebraically

J. J. M. M. Rutten
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Abstract

We study rational streams (over a field) from a coalgebraic perspective. Exploiting the finality of the set of streams, we present an elementary and uniform proof of the equivalence of four notions of representability of rational streams: by finite dimensional linear systems; by finite stream circuits; by finite weighted stream automata; and by finite dimensional subsystems of the set of streams.

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J. J. M. M. Rutten. 2008-09-19. Rational streams coalgebraically. https://doi.org/10.2168/lmcs-4(3%3A9)2008

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