SIAM Journal on Computing
On the Construction of Reversible Automata for Reversible Languages
ICALP '02 Proceedings of the 29th International Colloquium on Automata, Languages and Programming
Star Height of Reversible Languages and Universal Automata
LATIN '02 Proceedings of the 5th Latin American Symposium on Theoretical Informatics
Errata to: "finite automata and unary languages"
Theoretical Computer Science
Reducing NFAs by invariant equivalences
Theoretical Computer Science
NFA reduction algorithms by means of regular inequalities
Theoretical Computer Science - Developments in language theory
Theoretical Computer Science - Insightful theory
On a maximal NFA without mergible states
CSR'06 Proceedings of the First international computer science conference on Theory and Applications
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The universal automaton of a regular language is the maximal NFA without merging states that recognizes this language. This automaton is directly inspired by the factor matrix defined by Conway thirty years ago.We prove in this paper that a tight bound on its size with respect to the size of the smallest equivalent NFA is given by Dedekind's numbers. At the end of the paper, we deal with the unary case. Chrobak has proved that the size of the minimal deterministic automaton with respect to the smallest NFA is tightly bounded by the Landau's function; we show that the size of the universal automaton is in this case an exponential of the Landau's function.