A General Architecture of Oritatami Systems for Simulating Arbitrary Finite Automata

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

doi:10.1007/978-3-030-23679-3_12

A General Architecture of Oritatami Systems for Simulating Arbitrary Finite Automata

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

College of Computing

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Citations (Scopus)

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 language	English
Title of host publication	Implementation and Application of Automata - 24th International Conference, CIAA 2019, Proceedings
Editors	Michal Hospodár, Galina Jirásková
Publisher	Springer Verlag
Pages	146-157
Number of pages	12
ISBN (Print)	9783030236786
DOIs	https://doi.org/10.1007/978-3-030-23679-3_12
Publication status	Published - 2019
Event	24th International Conference on Implementation and Application of Automata, CIAA 2019 - Košice, Slovakia Duration: 2019 Jul 22 → 2019 Jul 25

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	11601 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	24th International Conference on Implementation and Application of Automata, CIAA 2019
Country/Territory	Slovakia
City	Košice
Period	19/7/22 → 19/7/25

Bibliographical note

Publisher Copyright:
© 2019, Springer Nature Switzerland AG.

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
General Computer Science

Access to Document

10.1007/978-3-030-23679-3_12

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

Han, Yo Sub ; Kim, Hwee ; Masuda, Yusei et al. / A General Architecture of Oritatami Systems for Simulating Arbitrary Finite Automata. Implementation and Application of Automata - 24th International Conference, CIAA 2019, Proceedings. editor / Michal Hospodár ; Galina Jirásková. Springer Verlag, 2019. pp. 146-157 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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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(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.",

author = "Han, {Yo Sub} and Hwee Kim and Yusei Masuda and Shinnosuke Seki",

note = "Publisher Copyright: {\textcopyright} 2019, Springer Nature Switzerland AG.; 24th International Conference on Implementation and Application of Automata, CIAA 2019 ; Conference date: 22-07-2019 Through 25-07-2019",

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Han, YS, 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. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 11601 LNCS, Springer Verlag, pp. 146-157, 24th International Conference on Implementation and Application of Automata, CIAA 2019, Košice, Slovakia, 19/7/22. https://doi.org/10.1007/978-3-030-23679-3_12

A General Architecture of Oritatami Systems for Simulating Arbitrary Finite Automata. / Han, Yo Sub; Kim, Hwee; Masuda, Yusei et al.
Implementation and Application of Automata - 24th International Conference, CIAA 2019, Proceedings. ed. / Michal Hospodár; Galina Jirásková. Springer Verlag, 2019. p. 146-157 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11601 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - A General Architecture of Oritatami Systems for Simulating Arbitrary Finite Automata

AU - Han, Yo Sub

AU - Kim, Hwee

AU - Masuda, Yusei

AU - Seki, Shinnosuke

PY - 2019

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N2 - 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.

AB - 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.

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T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

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BT - Implementation and Application of Automata - 24th International Conference, CIAA 2019, Proceedings

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

A General Architecture of Oritatami Systems for Simulating Arbitrary Finite Automata

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