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Different Types of Monotonicity for Restarting Automata

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1530))

Abstract

We consider several classes of rewriting automata with a restart operation and the monotonicity property of computations by such automata. It leads to three natural definitions of (right) monotonicity of automata. Besides the former monotonicity, two new types, namely a-monotonicity and g-monotonicity, for such automata are introduced. We provide a taxonomy of the relevant language classes, and answer the (un)decidability questions concerning these properties.

Supported by the Grant Agency of the Czech Republic, Grant-No. 201/96/0195

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References

  1. Buntrock, G., Otto, F.: Growing Context-Sensitive Languages and Church-Rosser Languages. In: Mayr, E.W., Puech, C. (eds.) STACS 1995. LNCS, vol. 900, pp. 313–324. Springer, Heidelberg (1995)

    Google Scholar 

  2. Dassow, J., Păun, G.: Regulated Rewriting in Formal Language Theory. Springer, Berlin (1989)

    Google Scholar 

  3. Ehrenfeucht, A., Păun, G., Rozenberg, G.: Contextual Grammars and Formal Languages. In: Rozenberg, G., Salomaa, A. (eds.) Handbook of Formal Languages, Linear Modeling: Background and Application, vol. 2, pp. 237–293. Springer, Berlin (1997)

    Google Scholar 

  4. Kunze, J.: Abhängigkeitsgrammatik. Studia Grammatica XII, Berlin (1975)

    Google Scholar 

  5. Mráz, F., Plátek, M., Jančar, P., Vogel, J.: Restarting Automata with Rewriting. In: Jeffery, K. (ed.) SOFSEM 1997. LNCS, vol. 1338, pp. 505–512. Springer, Heidelberg (1997)

    Chapter  Google Scholar 

  6. Jančar, P., Mráz, F., Plátek, M., Vogel, J.: On Monotonicity for Restarting Automata. Accepted to workshop Mathematical Linguistics on MFCS 1998, Brno (1998)

    Google Scholar 

  7. Jančar, P., Mráz, F., Plátek, M., Vogel, J.: On Restarting Automata with Rewriting. In: Păun, G., Salomaa, A. (eds.) New Trends in Formal Languages. LNCS, vol. 1218, pp. 119–136. Springer, Heidelberg (1997)

    Google Scholar 

  8. Sénizergues, G.: A Characterisation of Deterministic Context-Free Languages by Means of Right-Congruences. Theoretical Computer Science 70, 671–681 (1990)

    Article  Google Scholar 

  9. Sénizergues, G.: The Equivalence Problem for Deterministic Pushdown Automata is Decidable. In: Degano, P., Gorrieri, R., Marchetti-Spaccamela, A. (eds.) ICALP 1997. LNCS, vol. 1256, pp. 671–681. Springer, Heidelberg (1997)

    Google Scholar 

  10. Sgall, P., Panevová, J.: Dependency Syntax – a Challenge. Theoretical Linguistics 15(1/2), 73–86 (1988/1989)

    Google Scholar 

  11. Marcus, S.: Contextual Grammars and Natural Languages. In: Rozenberg, G., Salomaa, A. (eds.) Handbook of Formal Languages, Linear Modeling: Background and Application, vol. 2, pp. 215–235. Springer, Berlin (1997)

    Google Scholar 

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© 1998 Springer-Verlag Berlin Heidelberg

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Jančar, P., Mráz, F., Plátek, M., Vogel, J. (1998). Different Types of Monotonicity for Restarting Automata. In: Arvind, V., Ramanujam, S. (eds) Foundations of Software Technology and Theoretical Computer Science. FSTTCS 1998. Lecture Notes in Computer Science, vol 1530. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-49382-2_32

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  • DOI: https://doi.org/10.1007/978-3-540-49382-2_32

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65384-4

  • Online ISBN: 978-3-540-49382-2

  • eBook Packages: Springer Book Archive

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