Abstract
We will show that the class of reversible cellular automata (CA) with right Lyapunov exponent 2 cannot be separated algorithmically from the class of reversible CA whose right Lyapunov exponents are at most \(2-\delta \) for some absolute constant \(\delta >0\). Therefore there is no algorithm that, given as an input a description of an arbitrary reversible CA F and a positive rational number \(\epsilon >0\), outputs the Lyapunov exponents of F with accuracy \(\epsilon \).
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