Circuit Complexity of Regular Languages
✍ Scribed by Michal Koucký
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 316 KB
- Volume
- 45
- Category
- Article
- ISSN
- 1433-0490
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📜 SIMILAR VOLUMES
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) ∪
The square of a language L is the set of all words pp where p ∈ L. The square of a regular language may be regular too or context-free or none of both. We give characterizations for each of these cases and show that it is decidable whether a regular language has one of these properties.