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

Department of Computer Science

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 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	Slovakia
City	Košice
Period	19/7/22 → 19/7/25

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Computer Science(all)

Access to Document

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

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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 ; Seki, Shinnosuke. / 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",

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booktitle = "Implementation and Application of Automata - 24th International Conference, CIAA 2019, Proceedings",

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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; Seki, Shinnosuke.

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

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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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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)). https://doi.org/10.1007/978-3-030-23679-3_12