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We discuss about abstract collision systems(ACS) on groups which is an extension of ACS. The ACS is a kind of frameworks of unconventional computing which includes collision based computing, cellular ...automata (CA), chemical reaction systems and so on. In this paper, we define ACS on groups. When a group G and its subset is given, we create a set of collisions and a local transition function of an ACS from the group G and its operation. First, we describe definitions of components of ACS. Next, we introduce ACS on groups. Finally, we investigate properties of operations of ACS, union, division and composition.続きを見る
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