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Ambiguity and decision problems concerning number systems

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Automata, Languages and Programming (ICALP 1983)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 154))

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Abstract

The representation of integers in arbitrary number systems is considered. The main emphasis is on problems concerning ambiguity, completeness and equivalence. We develop a rather general automata-theoretic method for solving such, in essence, purely number-theoretic problems. The method seems to be applicable in a variety of different situations.

This work was supported by Natural Sciences and Engineering Research Council of Canada, Grant Nos. A7403 and A1617. The work was done while the second author was visiting the University of Waterloo during the academic year 1981-82.

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References

  1. Honkala, J. (1982) Unique representation in number systems and L codes. Discrete Applied Mathematics, 4, 229–232.

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  2. Jelinek, F. (1968) Probabilistic Information Theory. McGraw-Hill, New York.

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  3. Jürgensen, H. and Kunze, M. (1980) Redundanzfreie Codes als Kryptocodes. Technical Report TI 8/80, Darmstadt Technical University.

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  4. Maurer, H.A., Salomaa, A. and Wood, D. (1982) L codes and number systems. Theoretical Computer Science, 22, 331–346.

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Josep Diaz

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© 1983 Springer-Verlag Berlin Heidelberg

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Culik, K., Salomaa, A. (1983). Ambiguity and decision problems concerning number systems. In: Diaz, J. (eds) Automata, Languages and Programming. ICALP 1983. Lecture Notes in Computer Science, vol 154. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0036904

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  • DOI: https://doi.org/10.1007/BFb0036904

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12317-0

  • Online ISBN: 978-3-540-40038-7

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