If a space-time with a causal relationship is viewed from an observer in space-time, the interaction between space-time and the observer has to be implemented. We describe this interaction using a pair of causal sets and its semantics or using a pair of Point and Open Logic. We here propose an artificial causal space-time called an evolutionary topological system, which is based on the changeability between logical operations (disjunction and conjunction) and logical elements (join and meet) of

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... a causal set. The conflict resulting from the interaction is locally and temporally removed by replacing disjunction and join (or conjunction and meet), and a causal set is verified to evolve to a particular logical structure based on the simple summation. We also show this model can design an abnormal space-time feeling, such as an out-of-body experience.