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State Complexity of Prefix, Suffix, Bifix and Infix Operators on Regular Languages

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Developments in Language Theory (DLT 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6224))

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Abstract

We consider four operators on a regular language. Each of them is a tool for constructing a code (respectively prefix, suffix, bifix and infix) out of a given regular language. We give the precise values of the (deterministic) state complexity of each of these operators.

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References

  1. Berstel, J., Perrin, D., Reutenauer, C.: Codes and Automata. In: Encyclopedia of Mathematics and its Applications, vol. 129. Cambridge University Press, Cambridge (2009)

    Google Scholar 

  2. Birget, J.-C.: Intersection and union of regular languages and state complexity. Information Processing Letters 43, 185–190 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  3. Brzozowski, J., Jiraskova, G., Li, B.: Quotient complexity of ideal languages. In: Proceedings LATIN 2010 (to appear 2010), Available at CoRR, ArXiv:0908.2083 (2009)

    Google Scholar 

  4. Câmpeanu, C., Culik, K., Salomaa, K., Yu, S.: State complexity of basic operations on finite languages. In: Boldt, O., Jürgensen, H. (eds.) WIA 1999. LNCS, vol. 2214, pp. 60–70. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  5. Černý, J.: Poznámka k homogénnym eksperimentom s konečnými automatami Mat.-Fyz. Mat.-Fyz. Čas. Slovensk. Akad. Vied. 14, 208–216 (1964)

    MATH  Google Scholar 

  6. Han, Y.-S., Salomaa, K.: State complexity of basic operations on suffix-free regular languages. Theoret. Comput. Sci. 410(27-29), 2537–2548 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  7. Han, Y.-S., Salomaa, K., Wood, D.: Nondeterministic state complexity of basic operations for prefix-free regular languages. Fundamenta Informaticae 90, 93–106 (2009)

    MATH  MathSciNet  Google Scholar 

  8. Han, Y.-S., Salomaa, K., Wood, D.: Operational state complexity of prefix-free regular languages. In: Ésik, Z., Fülöp, Z. (eds.) Automata, Formal Languages and Related Topics, Institute of Informatics, pp. 99–115. University of Szeged (2009)

    Google Scholar 

  9. Han, Y.-S., Salomaa, K., Yu, S.: State complexity of combined operations for prefix-free regular languages. In: Dediu, A.H., Ionescu, A.M., Martín-Vide, C. (eds.) LATA 2009. LNCS, vol. 5457, pp. 398–409. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  10. Jirásková, G.: State complexity of some operations on binary regular languages. Theoret. Comput. Sci. 330, 287–298 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  11. Kao, J.-Y., Rampersad, N., Shallit, J.: On NFAs where all states are final, initial, or both. Theoret. Comput. Sci. 410, 5010–5021 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  12. Pighizzini, G.: Unary language concatenation and its state complexity. In: Yu, S., Păun, A. (eds.) CIAA 2000. LNCS, vol. 2088, pp. 252–262. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  13. Pighizzini, G., Shallit, J.: Unary language operations, state complexity and Jacobsthals function. Internat. J. Found. Comput. Sci. 13, 145–159 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  14. Mateescu, A., Salomaa, A.: Many-valued truth functions, Černý’s conjecture and road coloring. EATCS Bull. 68, 134–150 (1999)

    MATH  MathSciNet  Google Scholar 

  15. Pribavkina, E.V., Rodaro, E.: Finitely generated synchronizing automata. In: Dediu, A.H., Ionescu, A.M., Martín-Vide, C. (eds.) LATA 2009. LNCS, vol. 5457, pp. 672–683. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  16. Volkov, M.V.: Synchronizing automata and the Černý conjecture. In: Martín-Vide, C., Otto, F., Fernau, H. (eds.) LATA 2008. LNCS, vol. 5196, pp. 11–27. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  17. Yu, S.: State complexity of regular languages. Journal of Automata, Languages and Combinatorics 6(2), 221–234 (2001)

    MATH  MathSciNet  Google Scholar 

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Pribavkina, E.V., Rodaro, E. (2010). State Complexity of Prefix, Suffix, Bifix and Infix Operators on Regular Languages. In: Gao, Y., Lu, H., Seki, S., Yu, S. (eds) Developments in Language Theory. DLT 2010. Lecture Notes in Computer Science, vol 6224. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14455-4_34

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  • DOI: https://doi.org/10.1007/978-3-642-14455-4_34

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14454-7

  • Online ISBN: 978-3-642-14455-4

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