### Abstract

We study the computational power of P automata, variants of symport/antiport P systems which characterize string languages by applying a mapping to the sequence of multisets entering the system during computations. We consider the case when the input mapping is defined in such a way that it maps a multiset to the set of strings consisting of all permutations of its elements. We show that the computational power of this type of P automata is strictly less than so called restricted logarithmic space Turing machines, and we also exhibit a strict infinite hierarchy within the accepted language class based on the number of membranes present in the system.

Original language | English |
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Title of host publication | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |

Pages | 55-66 |

Number of pages | 12 |

Volume | 7956 LNCS |

DOIs | |

Publication status | Published - 2013 |

Event | 12th International Conference on Unconventional Computation and Natural Computation, UCNC 2013 - Milan, Italy Duration: Jul 1 2013 → Jul 5 2013 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 7956 LNCS |

ISSN (Print) | 03029743 |

ISSN (Electronic) | 16113349 |

### Other

Other | 12th International Conference on Unconventional Computation and Natural Computation, UCNC 2013 |
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Country | Italy |

City | Milan |

Period | 7/1/13 → 7/5/13 |

### Fingerprint

### ASJC Scopus subject areas

- Computer Science(all)
- Theoretical Computer Science

### Cite this

*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)*(Vol. 7956 LNCS, pp. 55-66). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 7956 LNCS). https://doi.org/10.1007/978-3-642-39074-6-7

**On the power of P automata.** / Csuhaj-Varjú, E.; Vaszil, György.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics).*vol. 7956 LNCS, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 7956 LNCS, pp. 55-66, 12th International Conference on Unconventional Computation and Natural Computation, UCNC 2013, Milan, Italy, 7/1/13. https://doi.org/10.1007/978-3-642-39074-6-7

}

TY - GEN

T1 - On the power of P automata

AU - Csuhaj-Varjú, E.

AU - Vaszil, György

PY - 2013

Y1 - 2013

N2 - We study the computational power of P automata, variants of symport/antiport P systems which characterize string languages by applying a mapping to the sequence of multisets entering the system during computations. We consider the case when the input mapping is defined in such a way that it maps a multiset to the set of strings consisting of all permutations of its elements. We show that the computational power of this type of P automata is strictly less than so called restricted logarithmic space Turing machines, and we also exhibit a strict infinite hierarchy within the accepted language class based on the number of membranes present in the system.

AB - We study the computational power of P automata, variants of symport/antiport P systems which characterize string languages by applying a mapping to the sequence of multisets entering the system during computations. We consider the case when the input mapping is defined in such a way that it maps a multiset to the set of strings consisting of all permutations of its elements. We show that the computational power of this type of P automata is strictly less than so called restricted logarithmic space Turing machines, and we also exhibit a strict infinite hierarchy within the accepted language class based on the number of membranes present in the system.

UR - http://www.scopus.com/inward/record.url?scp=84885977823&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84885977823&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-39074-6-7

DO - 10.1007/978-3-642-39074-6-7

M3 - Conference contribution

SN - 9783642390739

VL - 7956 LNCS

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 55

EP - 66

BT - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

ER -