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arXiv · 1502.04368

Reversible Causal Graph Dynamics

Pablo Arrighi·Simon Martiel·Simon Perdrix
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Abstract

Causal Graph Dynamics extend Cellular Automata to arbitrary, bounded-degree, time-varying graphs. The whole graph evolves in discrete time steps, and this global evolution is required to have a number of physics-like symmetries: shift-invariance (it acts everywhere the same) and causality (information has a bounded speed of propagation). We add a further physics-like symmetry, namely reversibility. KEYWORDS: Bijective, invertible, injective, surjective, one-to-one, onto, Cayley graphs, Hedlund, Block representation, Lattice-gas automaton, Reversible Cellular Automata.

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Pablo Arrighi, Simon Martiel, Simon Perdrix. 2015-02-15. Reversible Causal Graph Dynamics. https://doi.org/10.1007/978-3-319-40578-0_5

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