This paper studies the locally testable languages (or "events") introduced by McNaughton and Papert. We characterize these languages by means of their syntactic semigroups and obtain wreath product and direct product decompositions for these semigroups. As a by-product of our study, we find an algeb
Families of locally testable languages
β Scribed by Pascal Caron
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 177 KB
- Volume
- 242
- Category
- Article
- ISSN
- 0304-3975
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β¦ Synopsis
Kim, McNaughton and
McCloskey have produced a polynomial time algorithm in order to test if a deterministic automaton recognizes a locally testable language. We provide a characterization in terms of automata for the strictly locally testable languages and for the strongly locally testable languages, two subclasses of locally testable languages. These two characterizations lead us to polynomial time algorithms for testing these families of languages.
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