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arXiv · 1904.10174

A general architecture of oritatami systems for simulating arbitrary finite automata

Yo-Sub Han·Hwee Kim·Yusei Masuda·Shinnosuke Seki
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Abstract

In this paper, we propose an architecture of oritatami systems with which one can simulate an arbitrary nondeterministic finite automaton (NFA) in a unified manner. The oritatami system is known to be Turing-universal but the simulation available so far requires 542 bead types and $O(t^4 \log^2 t)$ steps in order to simulate $t$ steps of a Turing machine. The architecture we propose employs only 329 bead types and requires just $O(t |Q|^4 |\Sigma|^2)$ steps to simulate an NFA over an input alphabet $\Sigma$ with a state set $Q$ working on a word of length $t$.

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Yo-Sub Han, Hwee Kim, Yusei Masuda, Shinnosuke Seki. 2019-04-23. A general architecture of oritatami systems for simulating arbitrary finite automata. https://arxiv.org/abs/1904.10174

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