Polypodic codes
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 36 (2002) no. 1, pp. 5-28.

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.

DOI : 10.1051/ita:2002002
Classification : 68R05, 05C90
Mots-clés : code, polypode, trees 
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Bozapalidis, Symeon; Louscou-Bozapalidou, Olympia. Polypodic codes. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 36 (2002) no. 1, pp. 5-28. doi : 10.1051/ita:2002002. http://archive.numdam.org/articles/10.1051/ita:2002002/

[1] S. Bozapalidis, An Introduction to Polypodic Structures. J. Universal Comput. Sci. 5 (1999) 508-520. | MR | Zbl

[2] J. Berstel and D. Perrin, Theory of Codes. Academic Press (1985). | MR | Zbl

[3] B. Courcelle, Graph rewriting: An Algebraic and Logic Approach, edited by J. van Leeuwen. Elsevier, Amsterdam, Handb. Theoret. Comput. Sci. B (1990) 193-242. | MR | Zbl

[4] 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. | MR

[5] 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.

[6] J. Engelfriet, Tree Automata and tree Grammars. DAIMI FN-10 (1975).

[7] K. Menger, Super Associative Systems and Logical Functions. Math. Ann. 157 (1964) 278-295. | EuDML | MR | Zbl

[8] S. Mantaci and A. Restivo, Tree Codes and Equations1998) 119-132.

[9] M. Nivat, Binary Tree Codes. Tree Automata and Languages. Elsevier Science Publishers B.V. North Holland (1992) 1-19. | MR | Zbl

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