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Emulating the global transitions of synchronous cellular automata (CAs), like the well-known Game of Life (GL), is a conventional scheme for computing on asynchronous cellular automata (ACAs). Especially, the GL can be completely simulated by an ACA with Moore neighborhood (Lee et al., 2004), which requires 8 states per cell and hundreds of transition rules. The simulation can be made much more efficient...
The embedding of logic circuits into the cellular spaces is an essential approach for efficient computing on asynchronous cellular automata (ACAs), which usually depends critically on the design of signals. Such signals are required to propagate definitely in predefined directions, and cross other signals coming from orthogonal directions without blockage. Adachi et al. (2004) constructed signals...
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