Publication Date:
2015-04-10
Description:
Polynomial-time P systems with active membranes characterise PSPACE by exploiting membranes nested to a polynomial depth, which may be subject to membrane division rules. When only elementary (leaf) membrane division rules are allowed, the computing power decreases to P PP = P #P , the class of problems solvable in polynomial time by deterministic Turing machines equipped with oracles for counting (or majority) problems. In this paper we investigate a variant of intermediate power, limiting membrane nesting (hence membrane division) to constant depth, and we prove that the resulting P systems can solve all problems in the counting hierarchy CH, which is located between P PP and PSPACE. In particular, for each integer k ≥ 0 we provide a lower bound to the computing power of P systems of depth k. Content Type Journal Article Pages 97-111 DOI 10.3233/FI-2015-1201 Authors Alberto Leporati, 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 Luca Manzoni, 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 Giancarlo Mauri, 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 Antonio E. Porreca, 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 Claudio Zandron, 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 Journal Fundamenta Informaticae Online ISSN 1875-8681 Print ISSN 0169-2968 Journal Volume Volume 138 Journal Issue Volume 138, Number 1-2 / 2015
Print ISSN:
0169-2968
Electronic ISSN:
1875-8681
Topics:
Computer Science
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