A survey on space complexity of P systems with active membranes

2018 ◽  
Vol 10 (3) ◽  
pp. 221-229 ◽  
Author(s):  
Alberto Leporati ◽  
Luca Manzoni ◽  
Giancarlo Mauri ◽  
Antonio E. Porreca ◽  
Claudio Zandron
Keyword(s):  
Space Complexity ◽  
P Systems ◽  
Active Membranes

scholarly journals Alternative space definitions for P systems with active membranes

2021 ◽  
Author(s):  
Artiom Alhazov ◽  
Alberto Leporati ◽  
Luca Manzoni ◽  
Giancarlo Mauri ◽  
Claudio Zandron
Keyword(s):  
Physical Space ◽  
Space Complexity ◽  
P Systems ◽  
Complexity Classes ◽  
Formal Definition ◽  
Single Object ◽  
Active Membranes ◽  
Original Definition ◽  
Definition Of ◽  
Alternative Space

AbstractThe 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.

scholarly journals Space complexity equivalence of P systems with active membranes and Turing machines

2014 ◽  
Vol 529 ◽  
pp. 69-81 ◽  
Author(s):  
Artiom Alhazov ◽  
Alberto Leporati ◽  
Giancarlo Mauri ◽  
Antonio E. Porreca ◽  
Claudio Zandron
Keyword(s):  
Space Complexity ◽  
P Systems ◽  
Turing Machines ◽  
Active Membranes

scholarly journals An Efficient Simulation of Polynomial-Space Turing Machines by P Systems with Active Membranes

2010 ◽  
pp. 461-478 ◽  
Author(s):  
Andrea Valsecchi ◽  
Antonio E. Porreca ◽  
Alberto Leporati ◽  
Giancarlo Mauri ◽  
Claudio Zandron
Keyword(s):  
P Systems ◽  
Polynomial Space ◽  
Turing Machines ◽  
Efficient Simulation ◽  
Active Membranes

P Systems with Active Membranes, Without Polarizations and Without Dissolution: A Characterization of P

2005 ◽  
pp. 105-116 ◽  
Author(s):  
Miguel A. Gutiérrez-Naranjo ◽  
Mario J. Pérez-Jiménez ◽  
Agustín Riscos-Núñez ◽  
Francisco J. Romero-Campero
Keyword(s):  
P Systems ◽  
Active Membranes

Simulation of P Systems with Active Membranes on CUDA

2009 ◽  
Author(s):  
José María Cecilia Canales ◽  
José Manuel García Carrasco ◽  
Ginés David Guerrero Hernandez ◽  
Miguel Ángel Martínez del Amor ◽  
Ignacio Pérez Hurtado de Mendoza ◽  
...  
Keyword(s):  
P Systems ◽  
Active Membranes

scholarly journals COMPUTATION OF RAMSEY NUMBERS BY P SYSTEMS WITH ACTIVE MEMBRANES

2011 ◽  
Vol 22 (01) ◽  
pp. 29-38 ◽  
Author(s):  
LINQIANG PAN ◽  
DANIEL DÍAZ-PERNIL ◽  
MARIO J. PÉREZ-JIMÉNEZ
Keyword(s):  
Membrane Computing ◽  
P Systems ◽  
Ramsey Number ◽  
Ramsey Numbers ◽  
Combinatorial Object ◽  
Active Membranes ◽  
Number Problem ◽  
Decision Version

Ramsey numbers deal with conditions when a combinatorial object necessarily contains some smaller given objects. It is well known that it is very difficult to obtain the values of Ramsey numbers. In this work, a theoretical chemical/biological solution is presented in terms of membrane computing for the decision version of Ramsey number problem, that is, to decide whether an integer n is the value of Ramsey number R(k, l), where k and l are integers.

Recent complexity-theoretic results on P systems with active membranes

2013 ◽  
Vol 25 (4) ◽  
pp. 1047-1071 ◽  
Author(s):  
Giancarlo Mauri ◽  
Alberto Leporati ◽  
Antonio E. Porreca ◽  
Claudio Zandron
Keyword(s):  
P Systems ◽  
Active Membranes
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