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13th International Conference on Membrane Computing - MTA Sztaki

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On efficient algorithms for SAT<br />

the number of variables. This method also uses exp<strong>on</strong>ential space of the number<br />

of used variables. The space complexity is measured by the used number of<br />

subintervals of the basic interval [0, 1). The algorithm c<strong>on</strong>sists of a linear number<br />

of steps (operati<strong>on</strong>s) <strong>on</strong> the length of the input formula, so that the intervalvalues<br />

of linear number of subformulae are computed and stored. It could be an<br />

interesting and challenging task to mix the features of interval-valued computing<br />

and P-systems. This mixture could help to develop further highly parallel<br />

algorithms that can solve SAT and other intractable problems in their original<br />

form (as it is discussed in Secti<strong>on</strong> 4). We believe that this task could also be<br />

useful for the problem P=NP...<br />

Acknowledgements<br />

We are grateful to Gy. Vaszil for his help for searching literature. He is encouraged<br />

the author to submit the paper to the c<strong>on</strong>ference CMC13.<br />

The work is partly supported by the TÁMOP 4.2.1/B-09/1/KONV-2010-0007<br />

project. The project is implemented through the New Hungary Development<br />

Plan, co-financed by the European Social Fund and the European Regi<strong>on</strong>al Development<br />

Fund.<br />

References<br />

1. A. Alhazov, Solving SAT by Symport/Antiport P Systems with <strong>Membrane</strong> Divisi<strong>on</strong>,<br />

in: M.A. Gutiérrez-Naranjo, Gh. Paun, M.J. Pérez-Jiménez: Cellular <strong>Computing</strong><br />

(Complexity Aspects), ESF PESC Exploratory Workshop, Fénix Editora, Sevilla,<br />

1–6 (2005)<br />

2. A. Alhazov, Minimal Parallelism and Number of <strong>Membrane</strong> Polarizati<strong>on</strong>s, Computer<br />

Science Journal of Moldova, vol.18, no.2 (53), 149–170 (2010)<br />

3. A. Alhazov, R. Freund, On the Efficiency of P Systems with Active <strong>Membrane</strong>s<br />

and Two Polarizati<strong>on</strong>s, WMC5 2004, LNCS 3365, pp. 146-160 (2005)<br />

4. B. Aman, G. Ciobanu, Solving weak NP-complete problems in polynomial time with<br />

mutual mobile membrane systems, FML-11-2 Technical Report, Series of technical<br />

reports (Institute of Computer Science Iaşi) (2011)<br />

5. T. Brueggeman, W. Kern, An improved deterministic local search algorithm for<br />

3-SAT, Theoretical Computer Science 329 (1-3), 303–313 (2004)<br />

6. G. Ciobanu, L. Pan, Gh. Paun, M.J. Pérez-Jiménez, P systems with minimal parallelism,<br />

Theoretical Computer Science 378, 117-130 (2007)<br />

7. E. Dantsin, A. Goerdt, E. A. Hirsch, R. Kannan, J. Kleinberg, C. H. Papadimitriou,<br />

P. Raghavan, U. Schöning: A deterministic (2 − 2/(k + 1))n algorithm for k-SAT<br />

based <strong>on</strong> local search, Theoretical Computer Science 289 (1), 69–83 (2002)<br />

8. J. Dassow, Gh. Paun, Regulated rewriting in Formal Language Theory, Akademie-<br />

Verlag, Berlin, (1989)<br />

9. P. Frisco, G. Govan, P Systems with Active <strong>Membrane</strong>s Operating under Minimal<br />

Parallelism, CMC 2011, LNCS 7184, pp. 165-181 (2012)<br />

10. J. Heering, P. Klint, J. Rekers, Incremental generati<strong>on</strong> of lexical scanners, ACM<br />

Transacti<strong>on</strong>s <strong>on</strong> Programming Languages and Systems (TOPLAS), 14 (4), 490–520<br />

(1992)<br />

337

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