AU - M. Golmohamadian,
AU - M. M. Zahedi,
TI - BCK-ALGEBRAS AND HYPER BCK-ALGEBRAS INDUCED BY A DETERMINISTIC FINITE AUTOMATON
PT - JOURNAL ARTICLE
TA - IJMSI
JN - IJMSI
VO - 4
VI - 1
IP - 1
4099 - http://ijmsi.ir/article-1-64-en.html
4100 - http://ijmsi.ir/article-1-64-en.pdf
SO - IJMSI 1
AB - In this note first we define a BCK‐algebra on the states of a deterministic finite automaton. Then we show that it is a BCK‐algebra with condition (S) and also it is a positive implicative BCK‐algebra. Then we find some quotient BCK‐algebras of it. After that we introduce a hyper BCK‐algebra on the set of all equivalence classes of an equivalence relation on the states of a deterministic finite automaton and we prove that this hyper BCKalgebra is simple, strong normal and implicative. Finally we define a semi continuous deterministic finite automaton. Then we introduce a hyper BCK‐algebra S on the states of this automaton and we show that S is a weak normal hyper BCK‐algebra.
CP - IRAN
IN -
LG - eng
PB - IJMSI
PG - 79
PT - Research paper
YR - 2009