A General Architecture of Oritatami Systems for Simulating Arbitrary Finite Automata

Yo Sub Han, Hwee Kim, Yusei Masuda, Shinnosuke Seki

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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(t4 log2 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|Σ|2) steps to simulate an NFA with a state set Q working on a word of length t over an alphabet Σ.

Original languageEnglish
Title of host publicationImplementation and Application of Automata - 24th International Conference, CIAA 2019, Proceedings
EditorsMichal Hospodár, Galina Jirásková
PublisherSpringer Verlag
Pages146-157
Number of pages12
ISBN (Print)9783030236786
DOIs
Publication statusPublished - 2019 Jan 1
Event24th International Conference on Implementation and Application of Automata, CIAA 2019 - Košice, Slovakia
Duration: 2019 Jul 222019 Jul 25

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume11601 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference24th International Conference on Implementation and Application of Automata, CIAA 2019
CountrySlovakia
CityKošice
Period19/7/2219/7/25

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All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

Cite this

Han, Y. S., Kim, H., Masuda, Y., & Seki, S. (2019). A General Architecture of Oritatami Systems for Simulating Arbitrary Finite Automata. In M. Hospodár, & G. Jirásková (Eds.), Implementation and Application of Automata - 24th International Conference, CIAA 2019, Proceedings (pp. 146-157). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11601 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-030-23679-3_12