Formal languages
The art of computer programming, volume 1 (3rd ed.): fundamental algorithms
The art of computer programming, volume 1 (3rd ed.): fundamental algorithms
Handbook of formal languages, vol. 1
Introduction To Automata Theory, Languages, And Computation
Introduction To Automata Theory, Languages, And Computation
Theory of Codes
Theory of Automata
A family of NFAS free of state reductions
Journal of Automata, Languages and Combinatorics
On the size of the universal automaton of a regular language
STACS'07 Proceedings of the 24th annual conference on Theoretical aspects of computer science
Fuzzy relation equations and reduction of fuzzy automata
Journal of Computer and System Sciences
On a maximal NFA without mergible states
CSR'06 Proceedings of the First international computer science conference on Theory and Applications
Construction of fuzzy automata from fuzzy regular expressions
Fuzzy Sets and Systems
Factorization of fuzzy automata
FCT'07 Proceedings of the 16th international conference on Fundamentals of Computation Theory
Nondeterministic automata: Equivalence, bisimulations, and uniform relations
Information Sciences: an International Journal
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Quite often, trivial problems stated for deterministic finite automata (DFA) are surprisingly difficult for the non-deterministic case (NFA). In any non-minimal DFA for a given regular language, we can find two equivalent states which can be "merged" without changing the accepted language. This is not the case for NFA, where we can have non-minimal automata with no "mergible" states. In this paper, we prove a very basic result for NFA, that for a given regular language, any NFA of size greater than a computable constant must contain mergible states. Even more, we parameterized this constant in order to guarantee groups of an arbitrary number of mergible states.