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21st Annual IEEE Symposium on Logic in Computer Science (LICS'06)
Bounds in w-Regularity
Seattle, Washington
August 12-August 15
ISBN: 0-7695-2631-4
Mikolaj Bojanczyk, LIAFA, France
Thomas Colcombet, CNRS/IRISA, France
We consider an extension of w-regular expressions where two new variants of the Kleene star L* are added: LB and L^S. These exponents act as the standard star, but restrict the number of iterations to be bounded (for LB) or to tend toward infinity (for L^S). These expressions can define languages that are not w-regular.

We develop a theory for these languages. We study the decidability and closure questions. We also define an equivalent automaton model, extending Buchi automata. This culminates with a -- partial -- complementation result.

Citation:
Mikolaj Bojanczyk, Thomas Colcombet, "Bounds in w-Regularity," lics, pp.285-296, 21st Annual IEEE Symposium on Logic in Computer Science (LICS'06), 2006
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