Minimal cooperation as a way to achieve the efficiency in cell-like membrane systems

Cooperation is doubtless a relevant ingredient on rewriting rules based computing models. This paper provides an overview on both classical and newest results studying how cooperation among objects influences the ability of cell-like membrane systems to solve computationally hard problems in an effi...

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Veröffentlicht in:Journal of membrane computing Jg. 1; H. 2; S. 85 - 92
Hauptverfasser: Orellana-Martín, David, Valencia-Cabrera, Luis, Riscos-Núñez, Agustín, Pérez-Jiménez, Mario J.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Singapore Springer Singapore 01.06.2019
Springer Nature B.V
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ISSN:2523-8906, 2523-8914
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Zusammenfassung:Cooperation is doubtless a relevant ingredient on rewriting rules based computing models. This paper provides an overview on both classical and newest results studying how cooperation among objects influences the ability of cell-like membrane systems to solve computationally hard problems in an efficient way. In this paper, two types of such membrane systems will be considered: (a) polarizationless P systems with active membranes without dissolution rules when minimal cooperation is permitted in object evolution rules; and (b) cell-like P systems with symport/antiport rules of minimal length. Specifically, assuming that P is not equal to NP , several frontiers of the efficiency are obtained in these two computing frameworks, in such manner that each borderline provides a tool to tackle the P versus NP problem.
Bibliographie:ObjectType-Article-1
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ISSN:2523-8906
2523-8914
DOI:10.1007/s41965-018-00004-9