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Andrew Schumann worked at the Belarusian State University, Minsk, Belarus. His research focuses on logic and philosophy of science with an emphasis on non-well-founded phenomena: self-references and circularity. He contributed mainly to research areas such as reasoning under uncertainty, probability reasoning, non-Archimedean mathematics, as well as their applications to cognitive science. He is engaged also in unconventional computing, decision theory, logical modelling of economics.
Email: andrew.schumann@gmail.com
The paper considers main features of two groups of logics for biological
devices, called Physarum Chips, based on the plasmodium. Let us recall that
the plasmodium is a single cell with many diploid nuclei. It propagates
networks by growing pseudopodia to connect scattered nutrients (pieces of
food). As a result, we deal with a kind of computing. The first group of logics
for Physarum Chips formalizes the plasmodium behaviour under conditions of
nutrient-poor substrate. This group can be defined as standard storage
modification machines. The second group of logics for Physarum Chips covers
the plasmodium computing under conditions of nutrient-rich substrate. In this
case the plasmodium behaves in a massively parallel manner and propagates in
all possible directions. The logics of the second group are unconventional and
deal with non-well-founded data such as infinite streams.