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KLOBUČNÍKOVÁ, D. KŘIVKA, Z. MEDUNA, A.
Original Title
Conclusive Tree-Controlled Grammars
Type
conference paper
Language
English
Original Abstract
This paper presents a new approach to regulation of grammars. It divides the derivation trees generated by grammars into two sectionsgenerative and conclusive (the conclusion). The former encompasses generation of symbols up till the moment when the lowest rightmost terminal of the derivation tree is generated, whereas the latter represents the final steps needed to successfully generate a sentence. A control mechanism based on regulating only the conclusion is presented and subsequently applied to tree-controlled grammars, creating conclusive tree-controlled grammars. As the main result, it is shown that the ratio between depths of generative and conclusive sections does not influence the generative power. In addition, it is demonstrated that any recursively enumerable language is generated by these grammars possessing no more than seven nonterminals while the regulating language is union-free.
Keywords
Tree-controlled grammar, Conclusive tree-controlled grammar, Computational completeness, Derivation tree, Sub-regular language families, Descriptional complexity
Authors
KLOBUČNÍKOVÁ, D.; KŘIVKA, Z.; MEDUNA, A.
Released
26. 8. 2022
Publisher
School of Computer Science and Engineering, University of New South Wales
Location
Debrecen
ISBN
2075-2180
Periodical
Electronic Proceedings in Theoretical Computer Science, EPTCS
Number
367
State
unknown
Pages from
112
Pages to
125
Pages count
14
URL
http://eptcs.web.cse.unsw.edu.au/paper.cgi?NCMA2022.8
BibTex
@inproceedings{BUT178927, author="Dominika {Klobučníková} and Zbyněk {Křivka} and Alexandr {Meduna}", title="Conclusive Tree-Controlled Grammars", booktitle="Proceedings 12th International Workshop on Non-Classical Models of Automata and Applications", year="2022", journal="Electronic Proceedings in Theoretical Computer Science, EPTCS", number="367", pages="112--125", publisher="School of Computer Science and Engineering, University of New South Wales", address="Debrecen", doi="10.4204/EPTCS.367.8", issn="2075-2180", url="http://eptcs.web.cse.unsw.edu.au/paper.cgi?NCMA2022.8" }