The state complexities of some basic operations on regular languages
Theoretical Computer Science
Handbook of formal languages, vol. 1
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Journal of Automata, Languages and Combinatorics
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Theoretical Computer Science
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Fundamenta Informaticae
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We investigate the state complexity of basic operations for suffix-free regular languages. The state complexity of an operation for regular languages is the number of states that are necessary and sufficient in the worst-case for the minimal deterministic finite-state automaton that accepts the language obtained from the operation. We establish the precise state complexity of catenation, Kleene star, reversal and the Boolean operations for suffix-free regular languages.