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On shift-invariant maximal filters and hormonal cellular automata

Julien Cervelle 1 Grégory Lafitte 2
2 ESCAPE - Systèmes complexes, automates et pavages
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
Abstract : This paper deals with the construction of shift-invariant maximal filters on ℤ and their relation to hormonal cellular automata, a generalization of the cellular automata computation model with some information about the global state shared among all the cells. We first design shift-invariant maximal filters in order to define this new model of computation. Starting from different assumptions, we show how to construct such filters, and analyze the computation power of the induced cellular automata computation model.
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https://hal.archives-ouvertes.fr/hal-01615278
Contributor : Julien Cervelle <>
Submitted on : Thursday, October 12, 2017 - 11:09:25 AM
Last modification on : Friday, October 4, 2019 - 1:12:59 AM

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Julien Cervelle, Grégory Lafitte. On shift-invariant maximal filters and hormonal cellular automata. LICS: Logic in Computer Science, Jun 2017, Reykjavik, Iceland. pp.1-10, ⟨10.1109/LICS.2017.8005145⟩. ⟨hal-01615278⟩

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