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This paper presents a new approach to generate inequalities invariants of hybrid system based on template and quantifier elimination. The main idea is to introduce a candidate parametric invariant as template and then reduce the verification condition into a quantifier elimination problem. The challenge is to deal with the continuous consecution condition of hybrid system because of the existence...
Two implication operators on interval sets are discussed, related structure theorems are proved. As a generalization of these results, two implication operators on rough sets are established. Moreover, a characterization of HW-algebra is proposed and a mistake in a paper is pointed out.
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