Recently, researchers studied the state complexity of boundary - L∗ ∩Lc∗ - of regular languages L motivated from the famous Kuratowski's 14-theorem. Prefix codes - a set of languages - play an important role in several applications. We consider prefix- free regular languages and investigate the state complexity of two operations, L∗ and L∗ ∩Lc∗ for prefix-free regular languages. Based on the unique structural properties of a prefix-free minimal DFA, we compute the precise state complexity of L∗ and L∗ ∩Lc∗. We then present the tight bound over a quaternary alphabet for L∗ and L∗ ∩Lc∗. Our results are smaller than the composition of the state complexity function for individual operations of prefix-free regular languages.
|Number of pages
|International Journal of Foundations of Computer Science
|Published - 2015 Sept 1
Bibliographical notePublisher Copyright:
© 2015 World Scientific Publishing Company.
All Science Journal Classification (ASJC) codes
- Computer Science (miscellaneous)