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Keywords
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D-poset, logic entropy, dynamical system, isomorphism, m-generator.
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Abstract
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In this paper, a new invariant called logic entropy for dynamical systems on a D-poset is
introduced. Also, the conditional logical entropy is de ned 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.
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