By Erzsébet Csuhaj-Varjú (auth.), Gheorghe Păun, Mario J. Pérez-Jiménez, Agustín Riscos-Núñez, Grzegorz Rozenberg, Arto Salomaa (eds.)
This ebook constitutes the completely refereed post-workshop lawsuits of the tenth overseas Workshop on Membrane Computing, WMC 2009, held in Curtea de Arges, Romania, in the course of August 24 to 27, 2009 lower than the auspices of the eu Molecular Computing Consortium (EMCC) and the Molecular Computing activity strength of IEEE Computational Intelligence Society.
The 22 revised complete papers awarded including 10 invited papers went via rounds of reviewing and development. The papers during this quantity disguise all of the major instructions of study in membrane computing, starting from theoretical subject matters in arithmetic and machine technology to software matters; the invited lectures current basic contributions to membrane computing; therefore highlighting vital instructions of present learn during this area.
Read Online or Download Membrane Computing: 10th International Workshop, WMC 2009, Curtea de Arges, Romania, August 24-27, 2009. Revised Selected and Invited Papers PDF
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Additional info for Membrane Computing: 10th International Workshop, WMC 2009, Curtea de Arges, Romania, August 24-27, 2009. Revised Selected and Invited Papers
Example text
Cin (pin,k )) accepted by N . The just given definition of (vector) acceptance for P/T systems is new in Petri nets. Normally, Petri nets are generating devices having labels associated to the transitions. A generated word is given by the concatenations of the labels associated to the transitions in a firing sequence. As in [9] we call the nets join and fork building blocks, see Figure 2, where the places in each building block are distinct. join fork Fig. 2. Building blocks: join and fork From [9] we also take: Definition 5.
Definition 2. Let S and S formal systems and let α, α , β, β relations such that S αβ simulates S and S α β simulates S , then S and S are: isomorphic if α and α always return 1 configurations, β and β always return 1 multiset of operations having support 1 and all four relations are bijections; configuration equivalent if α and α always return 1 configurations, β and β always return 1 multiset of operations and all four relations are bijections; weakly configuration equivalent if α and α always return 1 configurations, β and β always return 1 multiset of operations and β and β are bijections.
Using only symport rules with weight k induces the type of rules α usually written as symk . If only antiport rules (x, i) (u, j) → (x, j) (u, i) of weight ≤ 2 and with |x| + |u| ≤ 3 as well as symport rules of weight 1 are used, we shall write anti2 . The following result is well known: Theorem 1. O∗ C1 (max, H, gen, N ) [anti2 ] = N RE. , O∗ tC2 (max, H, gen, N ) [anti2 ] = N RE. 2 25 Purely Catalytic P Systems Already in the original paper of Gheorghe P˘ aun (see [16]), membrane systems with catalytic rules were defined, but used together with other noncooperative rules.