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.
Type de document :
Communication dans un congrès
LICS: Logic in Computer Science, Jun 2017, Reykjavik, Iceland. 32nd Annual ACM/IEEE Symposium on Logic in Computer Science, pp.1-10, 2017, 〈http://lics.siglog.org/lics17/〉. 〈10.1109/LICS.2017.8005145〉
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https://hal.archives-ouvertes.fr/hal-01615278
Contributeur : Julien Cervelle <>
Soumis le : jeudi 12 octobre 2017 - 11:09:25
Dernière modification le : jeudi 24 mai 2018 - 15:59:23

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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. 32nd Annual ACM/IEEE Symposium on Logic in Computer Science, pp.1-10, 2017, 〈http://lics.siglog.org/lics17/〉. 〈10.1109/LICS.2017.8005145〉. 〈hal-01615278〉

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