
The emerging field of Nominal Computation Theory is concerned with the theory of Nominal Sets and its applications to Computer Science. We investigate here the impact of nominal sets on the definition of Cellular Automata and on their computational capabilities, with a special focus on the emergent behavioural properties of this new model and their significance in the context of computation-oriented interpretations of physical phenomena. A preliminary investigation of the relations between Nominal Cellular Automata and Wolfram's Elementary Cellular Automata is also carried out.
In Proceedings ICE 2016, arXiv:1608.03131
FOS: Computer and information sciences, Computer Science - Logic in Computer Science, Formal Languages and Automata Theory (cs.FL), Cellular Automata and Lattice Gases (nlin.CG), General Engineering, FOS: Physical sciences, Computer Science - Formal Languages and Automata Theory, QA75.5-76.95, Cellular Automata, Logic in Computer Science (cs.LO), Nominal Computation Theory, Modes of Computation, Electronic computers. Computer science, QA1-939, General Earth and Planetary Sciences, Nominal Sets, Nonlinear Sciences - Cellular Automata and Lattice Gases, Mathematics, General Environmental Science
FOS: Computer and information sciences, Computer Science - Logic in Computer Science, Formal Languages and Automata Theory (cs.FL), Cellular Automata and Lattice Gases (nlin.CG), General Engineering, FOS: Physical sciences, Computer Science - Formal Languages and Automata Theory, QA75.5-76.95, Cellular Automata, Logic in Computer Science (cs.LO), Nominal Computation Theory, Modes of Computation, Electronic computers. Computer science, QA1-939, General Earth and Planetary Sciences, Nominal Sets, Nonlinear Sciences - Cellular Automata and Lattice Gases, Mathematics, General Environmental Science
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