Computational Completeness of Networks of Evolutionary Processors with Elementary Polarizations and a Small Number of Processors - Descriptional Complexity of Formal Systems (DCFS 2017)
Conference Papers Year : 2017

Computational Completeness of Networks of Evolutionary Processors with Elementary Polarizations and a Small Number of Processors

Rudolf Freund
  • Function : Author
  • PersonId : 1022707
Vienna University of Technology = Technische Universität Wien
Vladimir Rogojin
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  • PersonId : 1024594
Åbo Akademi University [Turku]
Sergey Verlan
Laboratoire d'Algorithmique Complexité et Logique
CV

Abstract

We improve previous results obtained for networks of evolutionary processors with elementary polarizations $-1,0,1$ by showing that only the very small number of seven processors is needed to obtain computational completeness. In the case of not requiring a special output node even only five processors are shown to be sufficient.

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Computer Science [cs]
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Submitted on : Wednesday, December 6, 2017-11:44:40 AM

Last modification on : Tuesday, March 5, 2024-9:18:04 AM

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hal-01657015 , version 1 (06-12-2017)

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Rudolf Freund, Vladimir Rogojin, Sergey Verlan. Computational Completeness of Networks of Evolutionary Processors with Elementary Polarizations and a Small Number of Processors. 19th International Conference on Descriptional Complexity of Formal Systems (DCFS), Jul 2017, Milano, Italy. pp.140-151, ⟨10.1007/978-3-319-60252-3_11⟩. ⟨hal-01657015⟩

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