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Computational Universality of Fungal Sandpile Automata

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Fungal Machines

Part of the book series: Emergence, Complexity and Computation ((ECC,volume 47))

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Abstract

Hyphae within the mycelia of the ascomycetous fungi are compartmentalised by septa. Each septum has a pore that allows for inter-compartmental and inter-hyphal streaming of cytosol and even organelles. The compartments, however, have special organelles, Woronin bodies, that can plug the pores. When the pores are blocked, no flow of cytoplasm takes place. Inspired by the controllable compartmentalisation within the mycelium of the ascomycetous fungi we designed two-dimensional fungal automata. A fungal automaton is a cellular automaton where communication between neighbouring cells can be blocked on demand. We demonstrate computational universality of the fungal automata by implementing sandpile cellular automata circuits there. We reduce the Monotone Circuit Value Problem to the Fungal Automaton Prediction Problem. We construct families of wires, cross-overs and gates to prove that the fungal automata are P-complete.

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Acknowledgements

AA, MT, HABW have received funding from the European Union’s Horizon 2020 research and innovation programme FET OPEN “Challenging current thinking” under grant agreement No 858132. EG residency in UWE has been supported by funding from the Leverhulme Trust under the Visiting Research Professorship grant VP2-2018-001 and from the project the project 1200006, FONDECYT-Chile.

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Authors and Affiliations

  1. Faculty of Engineering and Science, University of Adolfo Ibáñez, Santiago, Chile

    Eric Goles & Michail-Antisthenis Tsompanas

  2. Unconventional Computing Laboratory, UWE, Bristol, UK

    Andrew Adamatzky & Genaro J. Martínez

  3. Microbiology Department, University of Utrecht, Utrecht, The Netherlands

    Martin Tegelaar & Han A. B. Wosten

  4. High School of Computer Science, National Polytechnic Institute, Mexico City, Mexico

    Genaro J. Martínez

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  1. Eric Goles
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  2. Michail-Antisthenis Tsompanas
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  6. Genaro J. Martínez
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Correspondence to Andrew Adamatzky .

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  1. Unconventional Computing Laboratory, University of the West of England, Bristol, UK

    Andrew Adamatzky

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Goles, E., Tsompanas, MA., Adamatzky, A., Tegelaar, M., Wosten, H.A.B., Martínez, G.J. (2023). Computational Universality of Fungal Sandpile Automata. In: Adamatzky, A. (eds) Fungal Machines. Emergence, Complexity and Computation, vol 47. Springer, Cham. https://doi.org/10.1007/978-3-031-38336-6_24

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