%0 Journal Article %T The concept of logic entropy on D-posets %J Algebraic Structures and Their Applications %I Yazd University %Z 2382-9761 %A Mohammadi, Uosef %D 2016 %\ 02/01/2016 %V 3 %N 1 %P 53-61 %! The concept of logic entropy on D-posets %K D-poset %K logic entropy %K dynamical system %K isomorphism %K $ m $-generator %R %X In this paper, a new invariant called {\it logic entropy} for dynamical systems on a D-poset is introduced. Also, the {\it conditional logical entropy} is defined and then some of its properties are studied.  The invariance of the {\it logic entropy} of a system  under isomorphism is proved. At the end,  the notion of an $ m $-generator of a dynamical system is introduced and a version of the Kolmogorov-Sinai theorem is given. %U https://as.yazd.ac.ir/article_900_22873ec50d4c1ad74a344a74ff1e040d.pdf