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Infinite words and biprefix codes

✍ Scribed by Giuseppe Pirillo; DédiéàA. Saoudi


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
265 KB
Volume
50
Category
Article
ISSN
0020-0190

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📜 SIMILAR VOLUMES


On some factorizations of infinite words
✍ J. Justin; G. Pirillo 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 621 KB

We show that an infinite word s satisfies s = uoutu2 . . . with all ui being different nonempty words and their set being a biprefix code if and only if s is not ultimately periodic. We give also related results, considering in particular arbitrary codes, infix codes and the case of two-sided infini

Some combinatorial properties of infinit
✍ Giuseppe Pirillo; Stefano Varricchio 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 560 KB

This paper is concerned with finiteness conditions for finitely generated semigroups. First, we present a combinatorial result on infinite sequences from which an alternative proof of a theorem of Restivo and Reutenauer follows: a finitely generated semigroup is finite if and only if it is periodic