Robust asynchronous P systems for basic operations

Membrane computing, which is a computational model inspired by living cell activity, has attracted considerable attention as a new computation paradigm. Using membrane computing, several arithmetic operations have been proposed. However, when the cellular activity of an organism is used as computational hardware, the cells may be stopped or vanish for some reason. Therefore, a robust algorithm, which continues calculation even if some of the cells are stopped or vanish, is necessary for membrane computing.In the present paper, we propose robust algorithms for basic operations, which are logic functions and addition, using an asynchronous P system. The proposed P system can obtain a correct solution even if some objects vanish at any stage of computation.