| Issue |
RAIRO-Theor. Inf. Appl.
Volume 57, 2023
12th International Workshop on Non-Classical Models of Automata and Applications (NCMA 2022)
|
|
|---|---|---|
| Article Number | 10 | |
| Number of page(s) | 21 | |
| DOI | https://doi.org/10.1051/ita/2023012 | |
| Published online | 13 November 2023 | |
Relations of contextual grammars with strictly locally testable selection languages
1
Fakultät für Informatik, Otto-von-Guericke-Universität Magdeburg, Postfach 4120, 39106 Magdeburg, Germany
2
Institut für Informatik, Justus-Liebig-Universität Giessen, Arndtstr. 2, 35392 Giessen, Germany
* Corresponding author: bianca.truthe@informatik.uni-giessen.de
Received:
7
February
2023
Accepted:
17
October
2023
We continue the research on the generative capacity of contextual grammars where contexts are adjoined around whole words (externally) or around subwords (internally) which belong to special regular selection languages. All languages generated by contextual grammars where all selection languages are elements of a certain subregular language family form again a language family. We investigate the computational capacity of contextual grammars with strictly locally testable selection languages and compare those families to families which are based on finite, monoidal, nilpotent, combinational, definite, suffix-closed, ordered, commutative, circular, non-counting, power-separating, or union-free languages. With these results, also an open problem regarding ordered and non-counting selection languages is solved.
Mathematics Subject Classification: 68Q42 / 68Q45
Key words: Contextual grammars / external and internal derivation modes / selection languages / subregular families of languages
© The authors. Published by EDP Sciences, 2023
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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