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The Removal of Weighted ε-Transitions

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Book cover Implementation and Application of Automata (CIAA 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7381))

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Abstract

The removal of ε-transitions in weighted automata leads to infinite summation when cycles of such transitions are allowed. This paper presents both an algorithm for that purpose, and a framework in which the algorithm is correct.

Work Supported by ANR Project 10-INTB-0203 VAUCANSON 2.

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References

  1. Berstel, J., Reutenauer, C.: Les séries rationnelles et leurs langages. Masson (1984); translation: Rational Series and Their Languages. Springer (1988)

    Google Scholar 

  2. Ésik, Z., Kuich, W.: Finite automata. In: Droste, M., et al. (eds.) Handbook of Weighted Automata, pp. 69–104. Springer (2009)

    Google Scholar 

  3. Kuich, W., Salomaa, A.: Semirings, Automata, Languages. Springer (1986)

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  4. Lombardy, S., Sakarovitch, J.: On the weighted closure problem. Available on ArXiV (to appear, 2012)

    Google Scholar 

  5. Lombardy, S., Sakarovitch, J.: Derivation of rational expressions with multiplicity. Theoret. Computer Sci. 332, 141–177 (2005)

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  6. Mohri, M.: Generic ε-removal and input ε-normalization algorithms for weighted transducers. Int. J. Foundations Computer Sci. 13, 129–143 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  7. Sakarovitch, J.: Elements of Automata Theory. Cambridge University Press (2009); corrected English translation of Éléments de théorie des automates, Vuibert (2003)

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  8. Sakarovitch, J.: Rational and recognisable power series. In: Droste, M., et al. (eds.) Handbook of Weighted Automata, pp. 105–174. Springer (2009)

    Google Scholar 

  9. Vaucanson , www.vaucanson-project.org

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© 2012 Springer-Verlag Berlin Heidelberg

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Lombardy, S., Sakarovitch, J. (2012). The Removal of Weighted ε-Transitions. In: Moreira, N., Reis, R. (eds) Implementation and Application of Automata. CIAA 2012. Lecture Notes in Computer Science, vol 7381. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31606-7_31

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  • DOI: https://doi.org/10.1007/978-3-642-31606-7_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31605-0

  • Online ISBN: 978-3-642-31606-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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