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Titlebook: Cellular Automata and Discrete Complex Systems; 22nd IFIP WG 1.5 Int Matthew Cook,Turlough Neary Conference proceedings 2016 IFIP Internati

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楼主: Cyclone
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Exact Discretization of 3-Speed Rational Signal Machines into Cellular Automatapeeds, and rational initial positions. In these SM, signals are always contained inside a regular mesh. The discretization brings forth the corresponding discrete mesh. The simulation is valid on any infinite run and preserves the relative position of collisions.
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https://doi.org/10.1007/978-3-322-86013-2e. We then show that on sofic groups, where it is known that injective cellular automata are surjective, post-surjectivity implies pre-injectivity. As no non-sofic groups are currently known, we conjecture that this implication always holds. This mirrors Gottschalk’s conjecture that every injective cellular automaton is surjective.
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https://doi.org/10.1007/978-3-322-86012-5icular state. In this setting we study the monoid of Turing machines and the group of reversible Turing machines. We also study two natural subgroups, namely the group of finite-state automata, which generalizes the topological full groups studied in the theory of orbit-equivalence, and the group of
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https://doi.org/10.1007/978-3-322-86012-5g the key concept of signals/particles and collisions. Inside a Euclidean space, dimensionless signals move freely; collisions are instantaneous. Today’s issue is the automatic generation of a CA . a given SM. On the one hand, many ad hoc manual conversions exist. On the other hand, some irrational
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https://doi.org/10.1007/978-3-322-86013-2igurations, every pre-image of one is asymptotic to a pre-image of the other. The well known dual concept is pre-injectivity: a cellular automaton is pre-injective if distinct asymptotic configurations have distinct images. We prove that pre-injective, post-surjective cellular automata are reversibl
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Cellular Automata and Discrete Complex Systems978-3-319-39300-1Series ISSN 0302-9743 Series E-ISSN 1611-3349
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