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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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