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Restarting Automata with Auxiliary Symbols and Small Lookahead

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Book cover Language and Automata Theory and Applications (LATA 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6638))

Abstract

We present a study on lookahead hierarchies for restarting automata with auxiliary symbols and small lookahead. In particular, we show that there are just two different classes of languages recognised by RRWW automata, through the restriction of lookahead size. We also show that the respective (left-) monotone restarting automaton models characterise the context-free languages and that the respective right-left-monotone restarting automata characterise the linear languages both with just lookahead length 2.

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References

  1. Mráz, F.: Lookahead hierarchies of restarting automata. Journal of Automata, Languages and Combinatorics 6(4), 493–506 (2001)

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  2. Otto, F.: Restarting automata. Recent Advances in Formal Languages and Applications 25, 269–303 (2006)

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  3. Schluter, N.: On lookahead hierarchies for monotone and deterministic restarting automata with auxiliary symbols (Extended abstract). In: Gao, Y., Lu, H., Seki, S., Yu, S. (eds.) DLT 2010. LNCS, vol. 6224, pp. 440–441. Springer, Heidelberg (2010)

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  4. Schluter, N.: Restarting automata with auxiliary symbols and small lookahead (2011), arXiv:1101.1640

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Author information

Authors and Affiliations

  1. IT University of Copenhagen, Rued Langgaards Vej 7, 2300, Copenhagen S., Denmark

    Natalie Schluter

Authors
  1. Natalie Schluter
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Editor information

Editors and Affiliations

  1. Research Group on Mathematical Linguistics, Universitat Rovira i Virgili, Avinguda Catalunya, 35, 43002, Tarragona, Spain

    Adrian-Horia Dediu  & Carlos Martín-Vide  & 

  2. Department of Informatics, Kyushu University, 744 Motooka, 819–0395, Fukuoka, Japan

    Shunsuke Inenaga

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© 2011 Springer-Verlag Berlin Heidelberg

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Schluter, N. (2011). Restarting Automata with Auxiliary Symbols and Small Lookahead. In: Dediu, AH., Inenaga, S., Martín-Vide, C. (eds) Language and Automata Theory and Applications. LATA 2011. Lecture Notes in Computer Science, vol 6638. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21254-3_40

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  • DOI: https://doi.org/10.1007/978-3-642-21254-3_40

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21253-6

  • Online ISBN: 978-3-642-21254-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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