Publication details

Piecewise Testable Languages via Combinatorics on Words

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Authors

KLÍMA Ondřej

Year of publication 2009
Type Article in Proceedings
Conference Proceedings WORDS 2009
MU Faculty or unit

Faculty of Science

Citation
Web http://words2009.dia.unisa.it/accepted.html
Field General mathematics
Keywords piecewise testable languages; syntactic congruence
Description A regular language L over an alphabet A is called piece- wise testable if it is a finite boolean combination of languages of the form A^*a_1 A^* ... A^*a_nA^*. An effective characterization of piecewise testable languages was given in 1972 by Si- mon who proved that a language L is piecewise testable if and only if its syntactic monoid is J -trivial. Nowadays there exist several proofs of this result based on various methods from algebraic theory of regular languages. Our contribution adds a new purely combinatorial proof.
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