Membrane Computing: An Introduction
Membrane Computing: An Introduction
Fundamenta Informaticae - Membrane computing
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Membrane systems represent a new abstract model inspired by cell biology. This new model works with multisets. In this paper we deal with various number encodings over multisets. We present the natural encoding and a most compact encoding, and study their properties using elements of combinatorics over multisets. We construct the membrane systems implementing the arithmetic operations using these encodings. For each encoding and operation we present its complexity. With respect to their complexity, we compare the encodings and we remark a transfer from the usual encoding lengths and time complexities of order logbn to lengths and complexities of order $^b\sqrt{n}$.