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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| Published in: | Journal of membrane computing Vol. 1; no. 2; pp. 85 - 92 |
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| Main Authors: | , , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Singapore
Springer Singapore
01.06.2019
Springer Nature B.V |
| Subjects: | |
| ISSN: | 2523-8906, 2523-8914 |
| Online Access: | Get full text |
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| Summary: | 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. |
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| Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ISSN: | 2523-8906 2523-8914 |
| DOI: | 10.1007/s41965-018-00004-9 |