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Abstract: . We prove that a language of a finitely generated free monoid is regular if and only if it satisfies the positive block pumping property. This gives a positive answer to a problem posed by Ehrenfeucht, Parikh, and Rozenberg [SIAM J. Comput., 10 (1981), pp. 536--541]. Key words. automata theory, regular languages, pumping conditions AMS subject classifications. 68Q45, 20M35 PII. S0097539790179944 1. Introduction. Pumping properties have always had great importance in formal languages theory and ... (Update)
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BibTeX entry: (Update)
@article{ varricchio97pumping,
author = "Stefano Varricchio",
title = "A Pumping Condition for Regular Sets",
journal = "SIAM Journal on Computing",
volume = "26",
number = "3",
pages = "764--771",
year = "1997",
url = "citeseer.ist.psu.edu/varricchio97pumping.html" }
Citations (may not include all citations):1911 Introduction to Automata Theory (context) - Hopcroft, Ullman - 1979
110 Ramsey Theory (context) - Graham, Rotshild et al. - 1990
9 Languages and Machines (context) - Eilemberg - 1974
9 Linear automata transformations (context) - Nerode - 1958
3 A positive pumping condition for regular sets (context) - de Luca, Varricchio - 1989
3 Wright--Patterson Air Force Base (context) - Myhill, automata et al. - 1957
2 Pumping lemmas for regular sets (context) - Ehrenfeucht, Parikh et al. - 1981
1 A necessary and su#cient pumping lemma for regular languages (context) - Jaffe - 1978
1 Notes on congruences relations and factor pumping conditions.. (context) - Hashigushi - 1988
1 Finiteness and iteration conditions for semigroups (context) - de Luca, Varricchio - 1991
1 Poincare recurrence and number theory (context) - Fustemberg - 1981
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