On morphic generation of regular languages
✍ Scribed by T. Harju; J. Karhumäki; H.C.M. Kleijn
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 292 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0166-218X
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📜 SIMILAR VOLUMES
Then the entropy decreases strictly: ent(L W ) ¡ ent(L). In this note we present a new proof of this fact, based on a method of Gromov, which avoids the Perron-Frobenius theory. This result applies to the regular languages of ÿnitely generated free groups and an additional application is presented.
A language is regular if it can be recognized by a ÿnite automaton. According to the pumping lemma, every inÿnite regular language contains a regular subset of the form uv + w, where u; v; w are words and v is not empty. It is known that every regular language can be expressed as ( i∈I uiv + i wi) ∪