2006 | OriginalPaper | Buchkapitel
Encodings and Arithmetic Operations in Membrane Computing
verfasst von : Cosmin Bonchiş, Gabriel Ciobanu, Cornel Izbaşa
Erschienen in: Theory and Applications of Models of Computation
Verlag: Springer Berlin Heidelberg
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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
log
b
n
to lengths and complexities of order
$^b\sqrt{n}$
.