L Morphisms: Bounded Delay and Regularity of Ambiguity

We present characterization and decidability results concerning bounded delay of L codes. It is also shown that, for L morphisms (morphisms applied in the “L way”), the sets causing ambiguities are in most cases effectively regular. The results are closely linked with some fundamental issues (bounded delay, elementary morphisms, Defect Theorem) in the theory of codes and combinatorics of words in general.

[1]  Juha Honkala.  Regularity Properties of L Ambiguities of Morphisms , 1992 .

[2]  Juha Honkala.  Bases and Ambiguity of Number Systems , 1984, Theor. Comput. Sci..

[3]  Juha Honkala.  Unique representation in number systems and L codes , 1982, Discret. Appl. Math..

[4]  Christiane Frougny,et al.  Linear Numeration Systems of Order Two , 1988, Inf. Comput..

[5]  J. Berstel,et al.  Theory of codes , 1985 .

[6]  Juha Honkala.  A Decision Method for The Recognizability of Sets Defined by Number Systems , 1986, RAIRO Theor. Informatics Appl..

[7]  Veronique Bruyere.  Codes prefixes, codes a delai de dechiffrage borne , 1989 .

[8]  Derick Wood,et al.  L Codes and Number Systems , 1983, Theor. Comput. Sci..

[9]  Juha Honkala,et al.  It is decidable whether or not a permutation-free morphism is an l code , 1987 .

[10]  Arto Salomaa,et al.  Ambiguity and Decision Problems Concerning Number Systems , 1983, Inf. Control..

[11]  Arto Salomaa.  Jewels of formal language theory , 1981 .

[12]  Juha Honkala,et al.  On Lindenmayerian Series in Complete Semirings , 1993, Developments in Language Theory.

[13]  Arto Salomaa,et al.  Public-Key Cryptography , 1991, EATCS Monographs on Theoretical Computer Science.

[14]  Derick Wood,et al.  Bounded Delay L Codes , 1991, Theor. Comput. Sci..

[15]  Antonio Restivo,et al.  Star-Free Sets of Integers , 1986, Theor. Comput. Sci..

[16]  Jean Berstel,et al.  Fibonacci Words — A Survey , 1986 .

[17]  Grzegorz Rozenberg,et al.  The Book of L , 1986, Springer Berlin Heidelberg.

[18]  Andrzej Ehrenfeucht,et al.  Simplifications of Homomorphisms , 1978, Inf. Control..