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Locally testable cyclic codes

✍ Scribed by Babai, L.; Shpilka, A.; Stefankovic, D.


Book ID
114638848
Publisher
IEEE
Year
2005
Tongue
English
Weight
360 KB
Volume
51
Category
Article
ISSN
0018-9448

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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

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We give an algebraic characterization of a new variety of languages that will be called bilateral locally testable languages and denoted as BLT. Given k ΒΏ 0, the membership of a word x to a BLT (k-BT) language can be decided by means of exploring the segments of length k of x, as well as considering