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Issue title: Dedicated to Jesús Pérez-Jiménez, on the occasion of his 65th birthday
Article type: Research Article
Authors: Leporati, Alberto | Manzoni, Luca | Mauri, Giancarlo | Porreca, Antonio E. | Zandron, Claudio
Affiliations: Dipartimento di Informatica, Sistemistica e Comunicazione, Università degli Studi di Milano-Bicocca, Viale Sarca 336/14, 20126 Milano, Italy. {leporati, luca.manzoni, mauri, porreca, zandron}@disco.unimib.it
Note: [] Address for correspondence: Dipartimento di Informatica, Sistemistica e Comunicazione, Università degli Studi di Milano-Bicocca, Viale Sarca 336/14, 20126 Milano, Italy
Abstract: We show that a constant amount of space is sufficient to simulate a polynomial-space bounded Turing machine by P systems with active membranes. We thus obtain a new characterisation of PSPACE, which raises interesting questions about the definition of space complexity for P systems. We then propose an alternative definition, where the size of the alphabet and the number of membrane labels of each P system are also taken into account. Finally we prove that, when less than a logarithmic number of membrane labels is available, moving the input objects around the membrane structure without rewriting them is not enough to even distinguish inputs of the same length.
DOI: 10.3233/FI-2014-1094
Journal: Fundamenta Informaticae, vol. 134, no. 1-2, pp. 111-128, 2014
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