Small Universal Tissue P Systems with Symport/Antiport Rules

Xingyi Zhang, Bin Luo, Linqiang Pan


In this note, we consider the problem of looking for small universal one-symbol tissue P systems with symport/antiport rules. It is proved that six cells suffice to generate any recursively enumerable set of natural numbers by such a onesymbol tissue P system with symport/antiport rules, under the restriction that only one channel is allowed between two cells or between a cell and the environment. As for the case of allowing two channels between a cell and the environment, it is shown that the computational completeness can be obtained by one-symbol tissue P systems with symport/antiport rules having at most five cells. These results partially answer an open problem formulated by Artiom Alhazov, Rudolf Freund and Marion Oswald.


membrane computing, tissue P system, symport/antiport rule, universality

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