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Biology of the Physarum polycephalum Plasmodium: Preliminaries for Unconventional Computing Read chapter Read first chapter

2016 | OriginalPaper | Chapter

p-Adic Computation with Physarum

Authors : Andrew Schumann, Krzysztof Pancerz

Published in: Advances in Physarum Machines

Publisher: Springer International Publishing

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Abstract

We propose two unconventional arithmetic circuits: adder and subtracter defined on finite p-adic integers. These circuits are theoretically implemented on the plasmodium of Physarum polycephalum. Adder and subtracter are designed by means of spatial configurations of several attractants and repellents which are stimuli for the plasmodium behaviour. As a result, the plasmodium could form a network of protoplasmic veins connecting attractants and original points of the plasmodium. Occupying new attractants is considered in the way of adders and leaving some attractants because of repelling is considered in the way of subtracters. On the basis of p-adic adders and subtracters we can design complex p-adic valued arithmetic circuits within a p-adic valued logic proposed by us.

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previous chapter Parallel Acceleration of Slime Mould Discrete Models
next chapter Syllogistic Versions of Go Games on Physarum
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Metadata
Title
p-Adic Computation with Physarum
Authors
Andrew Schumann
Krzysztof Pancerz
Copyright Year
2016
Book
Advances in Physarum Machines

Print ISBN: 978-3-319-26661-9

Electronic ISBN: 978-3-319-26662-6

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-319-26662-6_29

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