The first definition of space complexity for P systems was based on a hypothetical real implementation by means of biochemical materials, and thus it assumes that every single object or membrane requires some constant physical space. This is equivalent to using a unary encoding to represent multiplicities for each object and membrane. A different approach can also be considered, having in mind an implementation of P systems in silico; in this case, the multiplicity of each object in each membrane can be stored using binary numbers, thus reducing the amount of needed space. In this paper, we give a formal definition for this alternative space complexity measure, we define the corresponding complexity classes and we compare such classes both with standard space complexity classes and with complexity classes defined in the framework of P systems considering the original definition of space.

Alhazov, A., Leporati, A., Manzoni, L., Mauri, G., Zandron, C. (2021). Alternative space definitions for P systems with active membranes. JOURNAL OF MEMBRANE COMPUTING, 3(2), 87-96 [10.1007/s41965-021-00074-2].

Alternative space definitions for P systems with active membranes

Alhazov A.;Leporati A.;Manzoni L.;Mauri G.;Zandron C.
2021

Abstract

The first definition of space complexity for P systems was based on a hypothetical real implementation by means of biochemical materials, and thus it assumes that every single object or membrane requires some constant physical space. This is equivalent to using a unary encoding to represent multiplicities for each object and membrane. A different approach can also be considered, having in mind an implementation of P systems in silico; in this case, the multiplicity of each object in each membrane can be stored using binary numbers, thus reducing the amount of needed space. In this paper, we give a formal definition for this alternative space complexity measure, we define the corresponding complexity classes and we compare such classes both with standard space complexity classes and with complexity classes defined in the framework of P systems considering the original definition of space.
Articolo in rivista - Articolo scientifico
Computational Complexity; Membrane Systems; Space Complexity;
English
2021
3
2
87
96
open
Alhazov, A., Leporati, A., Manzoni, L., Mauri, G., Zandron, C. (2021). Alternative space definitions for P systems with active membranes. JOURNAL OF MEMBRANE COMPUTING, 3(2), 87-96 [10.1007/s41965-021-00074-2].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/318820
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