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arXiv · 2004.08805

On the decomposition of generalized semiautomata

Merve Nur Cakir·Karl-Heinz Zimmermann
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Abstract

Semi-automata are abstractions of electronic devices that are deterministic finite-state machines having inputs but no outputs. Generalized semiautomata are obtained from stochastic semiautomata by dropping the restrictions imposed by probability. It is well-known that each stochastic semiautomaton can be decomposed into a sequential product of a dependent source and a deterministic semiautomaton making partly use of the celebrated theorem of Birkhoff-von Neumann. It will be shown that each generalized semiautomaton can be partitioned into a sequential product of a generalized dependent source and a deterministic semiautomaton.

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Merve Nur Cakir, Karl-Heinz Zimmermann. 2020-04-19. On the decomposition of generalized semiautomata. https://arxiv.org/abs/2004.08805

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