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

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

Funding Information:
This work is supported primarily by JSPS-NRF Bilateral Program No. YB29004 to Han and Seki, the Basic Science Research Program (NRF-2018R1D1A1A09084107) to Han, JSPS KAKENHI Grant-in-Aids for Young Scientists (A) No. 16H05854 and for Challenging Research (Exploratory) No. 18K19779 to Seki, and JST Program to Disseminate Tenure Tracking System, MEXT, Japan No. 6F36 to Seki. Kim is also supported by NIH R01GM109459, NSF’s CCF01526485, DMS-1800443, the Southeast Center for Mathematics and Biology, and the NSF-Simons Research Center for Mathematics of Complex Biological Systems (DMS-1764406, 594594).

Publisher Copyright:
© 2019, Springer Nature Switzerland AG.

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Computer Science(all)

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 ; 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.",

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note = "Funding Information: This work is supported primarily by JSPS-NRF Bilateral Program No. YB29004 to Han and Seki, the Basic Science Research Program (NRF-2018R1D1A1A09084107) to Han, JSPS KAKENHI Grant-in-Aids for Young Scientists (A) No. 16H05854 and for Challenging Research (Exploratory) No. 18K19779 to Seki, and JST Program to Disseminate Tenure Tracking System, MEXT, Japan No. 6F36 to Seki. Kim is also supported by NIH R01GM109459, NSF{\textquoteright}s CCF01526485, DMS-1800443, the Southeast Center for Mathematics and Biology, and the NSF-Simons Research Center for Mathematics of Complex Biological Systems (DMS-1764406, 594594). 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; 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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AU - Han, Yo Sub

AU - Kim, Hwee

AU - Masuda, Yusei

AU - Seki, Shinnosuke

N1 - Funding Information: This work is supported primarily by JSPS-NRF Bilateral Program No. YB29004 to Han and Seki, the Basic Science Research Program (NRF-2018R1D1A1A09084107) to Han, JSPS KAKENHI Grant-in-Aids for Young Scientists (A) No. 16H05854 and for Challenging Research (Exploratory) No. 18K19779 to Seki, and JST Program to Disseminate Tenure Tracking System, MEXT, Japan No. 6F36 to Seki. Kim is also supported by NIH R01GM109459, NSF’s CCF01526485, DMS-1800443, the Southeast Center for Mathematics and Biology, and the NSF-Simons Research Center for Mathematics of Complex Biological Systems (DMS-1764406, 594594). Publisher Copyright: © 2019, Springer Nature Switzerland AG.

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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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T2 - 24th International Conference on Implementation and Application of Automata, CIAA 2019

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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

A General Architecture of Oritatami Systems for Simulating Arbitrary Finite Automata

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