Abstract

Artificial Chemistry by Sound Waves

Highlights

  • Living systems are composed of chemical reactions; almost all interactions in living systems are chemical reactions

  • Abstract model of chemical reactions have been proposed and such Artificial Chemistry, AC has been used as a method of describing interactions for modeling; Multi Agent Systems, Petri Nets, etc. and the reactions

  • In the system, which we propose in this paper, Neural Network, NN is implemented by using ARMS; NN in this paper is Self-Reinforcement Neural Network, SRNN, which we have been proposed; in SRNN, we assumes that substances can interact with each other according to reaction rules which change the amounts of the substance, and that reaction tendencies change depending on the reaction history

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Summary

Introduction

Living systems are composed of chemical reactions; almost all interactions in living systems are chemical reactions. Since living systems are composed of bio-chemical multiset by denoting the same alphabet in its number of reactions, information processing are chemical. A reaction rule l → r, l, r ∈ A# is described as a pair of multiset likewise chemical equations or a pair of its vector expression; and in some case, we can describe a reaction rule as a vector r, r = −l + r, it is simple and good for examining the dynamics of an ARMS, but this description can not illustrate when there are the same species of element in the left-hand side and right-hand synthesizing W1 and W2: and inclusion of Wi is W1(a) ≤ W2(a) for all a ∈ A, the W1 is included in W2 and we write W1 ⊆ W2. A reaction is described as the rewriting of a multiset, if the left-hand side of a reaction rule is included in a mul- tiset, these elements in the multiset are excluded and the right-hand side of the rule is merged to the multiset; the case when the multiset is a, a, b, b and the reaction rule is a, b → c, d, the left-hand side of the rule is included in the multiset, {a, b} ⊆ {a, a, b, b} so the {a, b} is excluded from the multiset and it is transformed to {a, b} and the left-hand side of the rule

Neural Networks implemented by ARMS
Communicating with ARMS via waves
Communicate with SRNN via Sound Waves
Future Remarks
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