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- W2009711705 abstract "The paper proposes a simple formalism for dealing with deterministic, non-deterministic and stochastic cellular automata in a unifying and composable manner. Armed with this formalism, we extend the notion of intrinsic simulation between deterministic cellular automata, to the non-deterministic and stochastic settings. We then provide explicit tools to prove or disprove the existence of such a simulation between two stochastic cellular automata, even though the intrinsic simulation relation is shown to be undecidable in dimension two and higher. The key result behind this is the caracterization of equality of stochastic global maps by the existence of a coupling between the random sources. We then prove that there is a universal non-deterministic cellular automaton, but no universal stochastic cellular automaton. Yet we provide stochastic cellular automata achieving optimal partial universality." @default.
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- W2009711705 date "2012-08-13" @default.
- W2009711705 modified "2023-09-30" @default.
- W2009711705 title "Intrinsic Simulations between Stochastic Cellular Automata" @default.
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- W2009711705 doi "https://doi.org/10.4204/eptcs.90.17" @default.
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