 The Computational Complexity of Tissue P Systems with Evolutional Symport/Antiport RulesLinqiang Pan, Bosheng Song, Luis Valencia-Cabrera and Mario J. Pérez-Jiménez Complexity, 2018, vol. 2018, 1-21 Abstract: Tissue P systems with evolutional communication (symport/antiport) rules are computational models inspired by biochemical systems consisting of multiple individuals living and cooperating in a certain environment, where objects can be modified when moving from one region to another region. In this work, cell separation, inspired from membrane fission process, is introduced in the framework of tissue P systems with evolutional communication rules. The computational complexity of this kind of P systems is investigated. It is proved that only problems in class P can be efficiently solved by tissue P systems with cell separation with evolutional communication rules of length at most , for each natural number . In the case where that length is upper bounded by , a polynomial time solution to the SAT problem is provided, hence, assuming that a new boundary between tractability and NP -hardness on the basis of the length of evolutional communication rules is provided. Finally, a new simulator for tissue P systems with evolutional communication rules is designed and is used to check the correctness of the solution to the SAT problem. Date: 2018 Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:3745210 DOI: 10.1155/2018/3745210 Access Statistics for this article More articles in Complexity from Hindawi |
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