STATE COMPLEXITY OF CONCATENATION AND COMPLEMENTATION

Author:

JIRÁSEK JOZEF1,JIRÁSKOVÁ GALINA2,SZABARI ALEXANDER3

Affiliation:

1. Institute of Computer Science, P.J. Šafárik University, Jesenná 5, 040 01 Košice, Slovakia

2. Mathematical Institute, Slovak Academy of Sciences, Grešákova 6, 040 01 Košice, Slovakia

3. Institute of Computer Science, P. J. Šafárik University, Jesenná 5, 040 01 Košice, Slovakia

Abstract

We investigate the state complexity of concatenation and the nondeterministic state complexity of complementation of regular languages. We show that the upper bounds on the state complexity of concatenation are also tight in the case that the first automaton has more than one accepting state. In the case of nondeterministic state complexity of complementation, we show that the entire range of complexities, up to the known upper bound can be produced.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computer Science (miscellaneous)

Reference28 articles.

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3. C. Câmpeanu, Proc. 4th International Workshop on Implementing Automata (WIA '99), LNCS 2214, eds. O. Boldt and H. Jürgensen (Springer-Verlag, Heidelberg, 2001) pp. 60–70.

4. Finite automata and unary languages

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