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Block Substitutions and Their Properties

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Języki publikacji
EN
Abstrakty
EN
We introduce a type of substitution operation inspired by errors occurring in biologically encoded information. We derive the closure properties of language families in the Chomsky hierarchy under these substitution operations. Moreover, we consider some language equations involving these operations and investigate decidability of the existence of solutions to such equations.
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Strony
165--178
Opis fizyczny
bibliogr. 18 poz.
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autor
Bibliografia
  • [1] J. Berstel, D. Perrin: Theory of Codes. Academic Press, Orlando, 1985.
  • [2] J.H. Conway: Regular Algebra and Finite Machines. Chapman and Hall, London, 1971.
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  • [4] T. Head, A.Weber: Deciding code related properties by means of finite transducers. In Sequences II,Methods in Communication, Security, and Computer Science (R. Capocelli, A. de Santis, U. Vaccaro, eds.), Springer-Verlag, Berlin, 1993, 260-272.
  • [5] H. Jürgensen, S. Konstantinidis: Codes. In [15], vol. I, 511-607.
  • [6] H. Jürgensen, K. Salomaa, S. Yu: Transducers and the decidability of independence in free monoids. Theoretical Computer Science, 134 (1994), 107-117.
  • [7] L. Kari: On Insertion and Deletion in formal languages. PhD thesis, University of Turku, Finland, 1991.
  • [8] L. Kari: On language equations with invertible operations. Theoretical Computer Science, 132 (1994), 129-150.
  • [9] L. Kari, S. Konstantinidis: Language equations, maximality and error-detection. Elsevier Science, 2004.
  • [10] L. Kari, G. Thierrin: K-catenation and applications: k-prefix codes. Journal of Information and Optimization Sciences, 16 (1995), 263-276.
  • [11] L. Kari, G. Thierrin: Maximal and minimal solutions to language equations. Journal of Computer and System Sciences, 53 (1996), 487-496.
  • [12] S. Konstantinidis: Relationships between different error-correcting capabilities of a code. IEEE Trans. Inform. Theory, 47 (2001), 2065-2069.
  • [13] S. Konstantinidis: Transducers and the properties of error-detection, error-correction, and finite-delay decodability. J. Universal Comp. Science, 8 (2002), 278-291.
  • [14] S. Konstantinidis, A. O'Hearn: Error-detecting properties of languages. Theoretical Computer Science, 276 (2002), 355-375.
  • [15] G. Rozenberg, A. Salomaa, eds.: Handbook of Formal Languages. Springer-Verlag, Berlin, 1997.
  • [16] A. Salomaa: Formal Languages. Academic Press, New York, 1973.
  • [17] H.J. Shyr: Free monoids and languages. Institute of AppliedMathematics, National Chung-Hsing University, Taichung, Taiwan, 1991.
  • [18] S. Yu: Regular Languages. In [15], vol. I, 41-110.
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Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS2-0010-0098
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