On acceptance conditions for membrane systems: characterisations of L and NL

Niall Murphy; Damien Woods

doi:10.4204/eptcs.1.17

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arXiv · 0906.3327

On acceptance conditions for membrane systems: characterisations of L and NL

Niall Murphy·Damien Woods

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Abstract

In this paper we investigate the affect of various acceptance conditions on recogniser membrane systems without dissolution. We demonstrate that two particular acceptance conditions (one easier to program, the other easier to prove correctness) both characterise the same complexity class, NL. We also find that by restricting the acceptance conditions we obtain a characterisation of L. We obtain these results by investigating the connectivity properties of dependency graphs that model membrane system computations.

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Niall Murphy, Damien Woods. 2009-06-18. On acceptance conditions for membrane systems: characterisations of L and NL. https://doi.org/10.4204/eptcs.1.17

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