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Membrane Computing Schema: A New Approach to Computation Using String Insertions

  • Mario J. Pérez-JiménezEmail author
  • Takashi Yokomori
Chapter
Part of the Natural Computing Series book series (NCS)

Abstract

In this paper, we introduce the notion of a membrane computing schema for string objects. We propose a computing schema for a membrane network (i.e., tissue-like membrane system) where each membrane performs unique type of operations at a time and sends the result to others connected through the channel. The distinguished features of the computing models obtained from the schema are:
  1. 1.

    only context-free insertion operations are used for string generation,

     
  2. 2.

    some membranes assume filtering functions for structured objects (molecules),

     
  3. 3.

    generating model and accepting model are obtained in the same schema, and both are computationally universal,

     
  4. 4.

    several known rewriting systems with universal computability can be reformulated by the membrane computing schema in a uniform manner.

     
The first feature provides the model with a simple uniform structure which facilitates a biological implementation of the model, while the second feature suggests further feasibility of the model in terms of DNA complementarity.

Through the third and fourth features, one may have a unified view of a variety of existing rewriting systems with Turing computability in the framework of membrane computing paradigm.

Keywords

Regular Language Membrane Computing Insertion Operation Enumerable Language Matrix Grammar 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  1. 1.Research Group on Natural Computing, Department of Computer Science and Artificial IntelligenceUniversity of SevillaSevillaSpain
  2. 2.Department of Mathematics, Faculty of Education and Integrated Arts and SciencesWaseda UniversityTokyoJapan

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