On Subclasses of Recognizable ωω−Partial Array Languages
In this paper, the concepts of infinite partial array languages (ωω−partial array languages) and the classes of ωω−partial array languages, namely, local ωω−partial array languages, Buchi local ωω−partial array languages, and Muller local ωω−partial array languages are defined, and their related pro...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/1493126 |
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| author | G. Muhiuddin K. Janaki D. Al-Kadi R. Arulprakasam V. Govindan |
| author_facet | G. Muhiuddin K. Janaki D. Al-Kadi R. Arulprakasam V. Govindan |
| author_sort | G. Muhiuddin |
| collection | DOAJ |
| description | In this paper, the concepts of infinite partial array languages (ωω−partial array languages) and the classes of ωω−partial array languages, namely, local ωω−partial array languages, Buchi local ωω−partial array languages, and Muller local ωω−partial array languages are defined, and their related properties are studied. Furthermore, we introduce nondeterministic finite online tessellation h-automata on ωω−partial array languages. In addition, we prove that the class of all adherences of finite local partial array languages is equal to the class of all local ωω−partial array languages and also prove that every ωω−regular partial array language is a projection of Buchi local ωω−partial array language. |
| format | Article |
| id | doaj-art-e63dbd5d882b4e2d980eec31e77d3091 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-e63dbd5d882b4e2d980eec31e77d30912025-08-20T03:26:04ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/1493126On Subclasses of Recognizable ωω−Partial Array LanguagesG. Muhiuddin0K. Janaki1D. Al-Kadi2R. Arulprakasam3V. Govindan4Department of MathematicsDepartment of MathematicsDepartment of Mathematics and StatisticsDepartment of MathematicsDepartment of MathematicsIn this paper, the concepts of infinite partial array languages (ωω−partial array languages) and the classes of ωω−partial array languages, namely, local ωω−partial array languages, Buchi local ωω−partial array languages, and Muller local ωω−partial array languages are defined, and their related properties are studied. Furthermore, we introduce nondeterministic finite online tessellation h-automata on ωω−partial array languages. In addition, we prove that the class of all adherences of finite local partial array languages is equal to the class of all local ωω−partial array languages and also prove that every ωω−regular partial array language is a projection of Buchi local ωω−partial array language.http://dx.doi.org/10.1155/2022/1493126 |
| spellingShingle | G. Muhiuddin K. Janaki D. Al-Kadi R. Arulprakasam V. Govindan On Subclasses of Recognizable ωω−Partial Array Languages Journal of Mathematics |
| title | On Subclasses of Recognizable ωω−Partial Array Languages |
| title_full | On Subclasses of Recognizable ωω−Partial Array Languages |
| title_fullStr | On Subclasses of Recognizable ωω−Partial Array Languages |
| title_full_unstemmed | On Subclasses of Recognizable ωω−Partial Array Languages |
| title_short | On Subclasses of Recognizable ωω−Partial Array Languages |
| title_sort | on subclasses of recognizable ωω partial array languages |
| url | http://dx.doi.org/10.1155/2022/1493126 |
| work_keys_str_mv | AT gmuhiuddin onsubclassesofrecognizableōōpartialarraylanguages AT kjanaki onsubclassesofrecognizableōōpartialarraylanguages AT dalkadi onsubclassesofrecognizableōōpartialarraylanguages AT rarulprakasam onsubclassesofrecognizableōōpartialarraylanguages AT vgovindan onsubclassesofrecognizableōōpartialarraylanguages |