# Finite Completion of comma-free codes Part 2

RAIRO - Theoretical Informatics and Applications (2010)

- Volume: 38, Issue: 2, page 117-136
- ISSN: 0988-3754

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topLam, Nguyen Huong. "Finite Completion of comma-free codes Part 2." RAIRO - Theoretical Informatics and Applications 38.2 (2010): 117-136. <http://eudml.org/doc/92735>.

@article{Lam2010,

abstract = {
This paper is a sequel to an
earlier paper of the present author, in which it was proved that
every finite comma-free code is embedded into a so-called (finite)
canonical comma-free code. In this paper, it is proved that every
(finite) canonical comma-free code is embedded into a finite maximal comma-free
code, which thus achieves the conclusion that every finite comma-free
code has finite completions.
},

author = {Lam, Nguyen Huong},

journal = {RAIRO - Theoretical Informatics and Applications},

keywords = {Comma-free code; completion; finite maximal comma-free code.},

language = {eng},

month = {3},

number = {2},

pages = {117-136},

publisher = {EDP Sciences},

title = {Finite Completion of comma-free codes Part 2},

url = {http://eudml.org/doc/92735},

volume = {38},

year = {2010},

}

TY - JOUR

AU - Lam, Nguyen Huong

TI - Finite Completion of comma-free codes Part 2

JO - RAIRO - Theoretical Informatics and Applications

DA - 2010/3//

PB - EDP Sciences

VL - 38

IS - 2

SP - 117

EP - 136

AB -
This paper is a sequel to an
earlier paper of the present author, in which it was proved that
every finite comma-free code is embedded into a so-called (finite)
canonical comma-free code. In this paper, it is proved that every
(finite) canonical comma-free code is embedded into a finite maximal comma-free
code, which thus achieves the conclusion that every finite comma-free
code has finite completions.

LA - eng

KW - Comma-free code; completion; finite maximal comma-free code.

UR - http://eudml.org/doc/92735

ER -

## References

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- S.W. Golomb, L.R. Welch and M. Delbrück, Construction and Properties of Comma-free Codes. Biol. Medd. Dan. Vid. Selsk.23 (1958) 3-34.
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- B.H. Jiggs, Recent Results in Comma-free Codes. Canad. J. Math.15 (1963) 178-187. Zbl0108.14304
- N.H. Lam, Finite Completion of Comma-Free Codes. Part 1, in Proc. of DLT 2002. Springer-Verlag, Lect. Notes Comput. Sci.2450 357-368. Zbl1022.94005
- R.C. Lyndon and M.-P. Shützenberger, The Equation aM = bNcP in a Free Group. Michigan Math. J.9 (1962) 289-298.
- Al.A. Markov, An Example of an Independent System of Words Which Cannot Be Included in a Finite Complete System. Mat. Zametki1 (1967) 87-90. Zbl0154.00703
- A. Restivo, On Codes Having No Finite Completions. Discret Math.17 (1977) 306-316. Zbl0357.94011
- H.J. Shyr, Free Monoids and Languages. Lecture Notes, Hon Min Book Company, Taichung, 2001. Zbl0746.20050
- J.D. Watson and F.C.H. Crick, A Structure for Deoxyribose Nucleic Acid. Nature171 (1953) 737.

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