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Maximal parallelism in Membrane Computing

Maximal parallelism in Membrane Computing. COMP308. From cell to membrane computing.

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Maximal parallelism in Membrane Computing

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  1. Maximal parallelism in Membrane Computing COMP308

  2. From cell to membrane computing All cells are enclosed by membranes; the cell membrane acts as the defining principle of what constitutes a cell and the rest of the world. Cells need to be able to transport proteins, DNA, and ions across the membrane.

  3. Membrane computing • A model of computing which abstracts from the functioning and structure of living cells (P systems) – Păun, 2000 • Three essential features: a hierarchical arrangement of membranes delimiting regions(membrane structure) –tree structure, some multisets of objects and finite sets of rules associated to regions • A P system evolves from one configuration to the other by applying the rules according to a given strategy (maximally parallel manner) • Rules can transform objects, move objects, and even modify the membrane structure (creation/division/dissolution/moving)It generalizes (includes) L systems and DNA computing

  4. P system: basic definitions

  5. Example

  6. Computing squares

  7. Divisibility

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