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2008•Electronic Notes in Theoretical Computer ScienceOpen access

A Universal Cellular Automaton on the Ternary Heptagrid

Maurice Margenstern, Yu Song

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Abstract

In this paper, we construct the first weakly universal cellular automaton on the ternary heptagrid. It requires six states only. It provides a universal automaton with less states than in the case of the pentagrid where the best result is nine states, a result also recently established by the authors.

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In this paper, we construct the first weakly universal cellular automaton on the ternary heptagrid. It requires six states only. It provides a universal automaton with less states than in the case of the pentagrid where the best result is nine states, a result also recently established by the authors.

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Available abstract

In this paper, we construct the first weakly universal cellular automaton on the ternary heptagrid. It requires six states only. It provides a universal automaton with less states than in the case of the pentagrid where the best result is nine states, a result also recently established by the authors.

Key concepts: Block cellular automaton, Cellular automaton, Continuous automaton, Reversible cellular automaton, Büchi automaton, Automaton, Construct (python library), Two-way deterministic finite automaton

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