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@article{1839842,
author = {Jirásková, Galina and Klíma, Ondřej},
article_number = {July},
doi = {http://dx.doi.org/10.1016/j.ic.2021.104778},
keywords = {Linear languages; Deterministic biautomata; Deterministic linear grammars},
language = {eng},
issn = {0890-5401},
journal = {Information and Computation},
title = {On linear languages recognized by deterministic biautomata},
url = {https://www.sciencedirect.com/science/article/pii/S0890540121000936#!},
volume = {286},
year = {2022}
}
TY - JOUR
ID - 1839842
AU - Jirásková, Galina - Klíma, Ondřej
PY - 2022
TI - On linear languages recognized by deterministic biautomata
JF - Information and Computation
VL - 286
IS - July
SP - 1-22
EP - 1-22
PB - Elsevier
SN - 08905401
KW - Linear languages
KW - Deterministic biautomata
KW - Deterministic linear grammars
UR - https://www.sciencedirect.com/science/article/pii/S0890540121000936#!
N2 - We introduce the notion of a deterministic biautomaton, a device that reads inputs from both ends, and admits at most one computation on every input word. We show that deterministic biautomata recognize a class of languages which is properly included in the class of linear languages, and which is incomparable to the class of languages recognized by deterministic one-turn pushdown automata. We propose three restrictions of the basic model of deterministic biautomata to characterize the classes of languages generated by DL, linear LL(1), and NH-DL grammars. This results in a chain of four subclasses of linear languages in which all inclusions are strict. For these subclasses and basic operations, we show whether or not a particular class is closed under a considered operation. We prove that it is undecidable whether a linear language belongs to any of these four classes and answer some other decidability questions.
ER -
JIRÁSKOVÁ, Galina a Ondřej KLÍMA. On linear languages recognized by deterministic biautomata. \textit{Information and Computation}. Elsevier, 2022, roč.~286, July, s.~1-22. ISSN~0890-5401. Dostupné z: https://dx.doi.org/10.1016/j.ic.2021.104778.
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