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On the lattice of prefix codes

Title
On the lattice of prefix codes
Type
Article in International Scientific Journal
Year
2002
Authors
Antonio Restivo
(Author)
Other
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Journal
Vol. 289
Pages: 755-782
ISSN: 0304-3975
Publisher: Elsevier
Indexing
Scientific classification
FOS: Natural sciences > Computer and information sciences
Other information
Authenticus ID: P-000-MNN
Abstract (EN): The natural correspondence between prefix codes and trees is explored, generalizing the results obtained in Giammarresi et al. (Theoret. Comput. Sci. 205 (1998) 1459) for the lattice of finite trees under division and the lattice of finite maximal prefix codes. Joins and meets of prefix codes are studied in this light in connection with such concepts as finiteness, maximality and varieties of rational languages. Decidability results are obtained for several problems involving rational prefix codes, including the solution to the primeness problem.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 28
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