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Symbolic Logic 73 (2008), no

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Automatic actions I. Bounded automata and orbits

math.GR · 2026-06-06 · unverdicted · novelty 7.0

For bounded automatic actions of inverse semigroups the orbit relation is ω-regular, making first-order statements about orbits and actions decidable, including computability of Fatou component encodings for post-critically finite polynomials.

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  • Automatic actions I. Bounded automata and orbits math.GR · 2026-06-06 · unverdicted · none · ref 28

    For bounded automatic actions of inverse semigroups the orbit relation is ω-regular, making first-order statements about orbits and actions decidable, including computability of Fatou component encodings for post-critically finite polynomials.