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Neary, Turlough and Woods, Damien (2009) Four Small Universal Turing Machines. Fundamenta Informaticae, 91 (1). pp. 123-144. ISSN 0169-2968
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Abstract
We present universal Turing machines with state-symbol pairs of (5, 5), (6, 4), (9, 3) and (15, 2). These machines simulate our new variant of tag system, the bi-tag system and are the smallest known single-tape universal Turing machines with 5, 4, 3 and 2-symbols, respectively. Our 5-symbolmachine uses the same number of instructions (22) as the smallest known universal Turing machine by Rogozhin. Also, all of the universalmachines we present here simulate Turing machines in polynomial time.
| Item Type: | Article |
|---|---|
| Additional Information: | Note that the pdf has incorrect page numbers |
| Keywords: | 2-tag system; Bi-tag systems; Computational complexity; Polynomial time; Post system; Small universal Turing machine; |
| Academic Unit: | Faculty of Science and Engineering > Computer Science Faculty of Science and Engineering > Research Institutes > Hamilton Institute |
| Item ID: | 12416 |
| Identification Number: | 10.3233/FI-2009-0036 |
| Depositing User: | Damien Woods |
| Date Deposited: | 14 Feb 2020 15:14 |
| Journal or Publication Title: | Fundamenta Informaticae |
| Publisher: | IOS Press |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/12416 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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