Membrane Systems with Symport/Antiport Rules: Universality Results

Symport and antiport are biological ways for transporting molecules through membranes in a "collaborating" manner; in the case of symport several molecules pass in the same direction, in the case of antiport two or more molecules pass in opposite directions. In this paper we first survey the results on the computing power of membrane systems (P systems) using only symport/antiport rules and then improve some of the results known so far. A recent variant of P systems with purely communicating rules introduced in [24] with the name of communicating P systems is revisited and optimal (with respect to the number of membranes) universality results for that particular variant are obtained, too.

[1]  Gheorghe Paun,et al.  Regulated Rewriting in Formal Language Theory , 1989 .

[2]  Andrei Paun,et al.  Computing by Communication in Networks of Membranes , 2002, Int. J. Found. Comput. Sci..

[3]  Andrei Paun,et al.  On the Power of P Systems with Symport Rules , 2002, J. Univers. Comput. Sci..

[4]  Petr Sos ´ ik Membrane Computing: When Communication Is Enough , 2002 .

[5]  Hendrik Jan Hoogeboom,et al.  Simulating Counter Automata by P Systems with Symport/Antiport , 2002, WMC-CdeA.

[6]  Gheorghe Paun,et al.  Computing with Membranes: An Introduction , 1999, Bull. EATCS.

[7]  Gheorghe Paun,et al.  Membrane Computing , 2002, Natural Computing Series.

[8]  Bruce Alberts,et al.  Essential Cell Biology , 1983 .

[9]  Andrei Paun,et al.  ReMembrane Systems with Coupled Transport: Universality and Normal Forms , 2002, Fundam. Informaticae.

[10]  Andrei Paun,et al.  Further Remarks on P Systems with Symport Rules , 2001, Sci. Ann. Cuza Univ..

[11]  Rudolf Freund,et al.  On the Number of Non-terminal Symbols in Graph-Controlled, Programmed and Matrix Grammars , 2001, MCU.

[12]  Petr Sosík,et al.  Membrane Computing: When Communication Is Enough , 2002, UMC.

[13]  Grzegorz Rozenberg,et al.  Membrane Computing , 2003, Lecture Notes in Computer Science.

[14]  Cristian S. Calude,et al.  Computing with Cells and Atoms: An Introduction to Quantum, DNA and Membrane Computing , 2000 .

[15]  Gheorghe Paun,et al.  Computing with Membranes , 2000, J. Comput. Syst. Sci..

[16]  Grzegorz Rozenberg,et al.  Handbook of Formal Languages , 1997, Springer Berlin Heidelberg.

[17]  Rudolf Freund,et al.  GP Systems with Forbidding Context , 2002, Fundam. Informaticae.