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Polypodic codes

Published online by Cambridge University Press:  15 December 2002

Symeon Bozapalidis  and
Olympia Louscou–Bozapalidou
Symeon Bozapalidis
Affiliation:
Department of Mathematics, Aristotle University of Thessaloniki, 54006 Thessaloniki, Greece.
Olympia Louscou–Bozapalidou
Affiliation:
Posidonos 7, Nea Krini, 55132 Thessaloniki, Greece.
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Abstract

Word and tree codes are studied in a common framework, that of polypodes which are sets endowed with a substitution like operation. Many examples are given and basic properties are examined. The code decomposition theorem is valid in this general setup.

Keywords

Codepolypodetrees.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 36 , Issue 1 , January 2002 , pp. 5 - 28
Copyright
© EDP Sciences, 2002

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References

Bozapalidis, S., Introduction, An to Polypodic Structures. J. Universal Comput. Sci. 5 (1999) 508-520.
J. Berstel and D. Perrin, Theory of Codes. Academic Press (1985).
B. Courcelle, Graph rewriting: An Algebraic and Logic Approach, edited by J. van Leeuwen. Elsevier, Amsterdam, Handb. Theoret. Comput. Sci. B (1990) 193-242.
F. Gécseg and M. Steinby, Tree Languages, edited by G. Rozenberg and A. Salomaa. Springer-Verlag, New York, Handb. Formal Lang. 3 , pp. 1-68.
V. Give'on, Algebraic Theory of m-automata, edited by Z. Kohavi and A. Paz. Academic Press, New York, Theory of Machines and Computation (1971) 275-286.
J. Engelfriet, Tree Automata and tree Grammars. DAIMI FN-10 (1975).
Menger, K., Super Associative Systems and Logical Functions. Math. Ann. 157 (1964) 278-295. CrossRef
S. Mantaci and A. Restivo, Tree Codes and Equations, in Proc. of the 3 rd International Conference DLT'97, edited by S. Bozapalidis. Thessaloniki (1998) 119-132.
M. Nivat, Binary Tree Codes. Tree Automata and Languages. Elsevier Science Publishers B.V. North Holland (1992) 1-19.