AC Finite Binary Automata
Journal Title: IOSR Journal of Mathematics(IOSR-JM) - Year 2018, Vol 14, Issue 1
Abstract
Associative Finite Binary Automaton, Commutative Finite Binary Automaton, AC Finite Binary Automaton have been introduced. Cross Product of Finite Binary Automatons has been defined. If B1 = (Q1, Δ1, Ʃ1, δ1, p0, F1) and B2 = (Q2, Δ2, Ʃ2, δ2, q0, F2) are any two Finite Binary Automatons, then B1×B2 is also a finite binary automaton. If B1 = (Q1, Δ1, Ʃ1, δ1, p0, F1) and B2 = (Q2, Δ2, Ʃ2, δ2, q0, F2) are any two Associative Finite Binary Automatons, then B1×B2 is also an associative finite binary automaton. If B1 = (Q1, Δ1, Ʃ1, δ1, p0, F1) and B2 = (Q2, Δ2, Ʃ2, δ2, q0, F2) are any two commutative Finite Binary Automatons, then B1×B2 is also a commutative finite binary automaton. If B1 = (Q1, Δ1, Ʃ1, δ1, p0, F1) and B2 = (Q2, Δ2, Ʃ2, δ2, q0, F2) are any two AC Finite Binary Automatons, then B1×B2 is also an AC commutative finite binary automaton.
Authors and Affiliations
S. Shanmugavadivoo 1 ,, Dr. K. Muthukumaran 2
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