SIAM Journal on Computing
Inference of Reversible Languages
Journal of the ACM (JACM)
LATIN '92 Proceedings of the 1st Latin American Symposium on Theoretical Informatics
On viewing block codes as finite automata
Theoretical Computer Science
Introduction to Automata Theory, Languages, and Computation (3rd Edition)
Introduction to Automata Theory, Languages, and Computation (3rd Edition)
On the State Minimization of Nondeterministic Finite Automata
IEEE Transactions on Computers
Bideterministic automata and minimal representations of regular languages
Theoretical Computer Science - Implementation and application of automata
Minimalizations of NFA using the universal automaton
CIAA'04 Proceedings of the 9th international conference on Implementation and Application of Automata
Hi-index | 0.00 |
Bideterministic automata are deterministic automata with the property of their reversal automata also being deterministic. It has been known that a bideterministic automaton is the minimal deterministic automaton accepting its language. This paper shows that any bideterministic automaton is the unique minimal automaton among all (including nondeterministic) automata accepting the same language. We also present a more general result that shows that under certain conditions a minimal deterministic automaton accepting some language or the reversal of the minimal deterministic automaton of the reversal language is a minimal automaton representation of the language. These conditions can be checked in polynomial time.