In this paper, a new invariant called logic entropy for dynamical systems on a D-poset is
introduced. Also, the conditional logical entropy is dened and then some of its properties are studied.
The invariance of the 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.
1.