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Deterministic Biautomata and Subclasses of Deterministic Linear Languages

Part of the Lecture Notes in Computer Science book series (LNTCS,volume 11417)


We propose the notion of a deterministic biautomaton, a machine reading an input word from both ends. We focus on various subclasses of deterministic linear languages and give their characterizations by certain subclasses of deterministic biautomata. We use these characterizations to establish closure properties of the studied subclasses of languages and to get basic decidability results concerning them.

G. Jirásková—Research supported by VEGA grant 2/0132/19 and grant APVV-15-0091.

O. Klíma—Research supported by Institute for Theoretical Computer Science (ITI), project No. P202/12/G061 of the Grant Agency of the Czech Republic.

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We would like to thank Professor Erkki Mäkkinen who proposed the topic of deterministic linear languages to us. We are also grateful to Libor Polák for useful discussions in the beginning of this research.

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Correspondence to Ondřej Klíma .

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Jirásková, G., Klíma, O. (2019). Deterministic Biautomata and Subclasses of Deterministic Linear Languages. In: Martín-Vide, C., Okhotin, A., Shapira, D. (eds) Language and Automata Theory and Applications. LATA 2019. Lecture Notes in Computer Science(), vol 11417. Springer, Cham.

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