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On the State Minimization of Nondeterministic Finite Automata | IEEE Journals & Magazine | IEEE Xplore

On the State Minimization of Nondeterministic Finite Automata


Abstract:

The aim of this paper is to obtain a procedure for finding a minimum state nondeterministic finite automaton (NDA) equivalent to a given (in general, nondeterministic) fi...Show More

Abstract:

The aim of this paper is to obtain a procedure for finding a minimum state nondeterministic finite automaton (NDA) equivalent to a given (in general, nondeterministic) finite automaton. Given a finite automaton A, we derive from A a matrix of 1' s and 0's, called a reduced automaton matrix RAM) of A, in a certain way and show that each state of A corresponds to a grid over the RAM. A grid consists of a set of rows and a set of columns of an RAM such that only 1's appear at the intersections. It is also shown that the union of all the grids, each of which corresponds to a state of A, covers all the 1 entries of an RAM.
Published in: IEEE Transactions on Computers ( Volume: C-19, Issue: 7, July 1970)
Page(s): 617 - 627
Date of Publication: 31 July 1970

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