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In this paper, we discuss an abstract collision system (ACS) on a G-set which is an extension of a normal ACS [5, 6]. An ACS is a type of unconventional computing framework that includes collision-bas...ed computing, cellular automata (CA), and chemical reaction systems. For a given group G and its subset, we create a set of collisions and a local transition function of an ACS by using the action of G. We first refine definitions of the components of an ACS, and then extend them to the concepts on a G-set. Finally, we define and investigate the operations “union”, “division” and “composition” of the ACS on a G-set.続きを見る
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