GUO Ping, ZHANG Hong, CHEN Haizhu, CHEN Jingxin. Fraction Arithmetic Operations Performed by P systems[J]. Chinese Journal of Electronics, 2013, 22(4): 690-694.
Citation: GUO Ping, ZHANG Hong, CHEN Haizhu, CHEN Jingxin. Fraction Arithmetic Operations Performed by P systems[J]. Chinese Journal of Electronics, 2013, 22(4): 690-694.

Fraction Arithmetic Operations Performed by P systems

Funds:  This work is supported by the National Science Foundation for Young Scholars of China (No.61201347), and Natural Science Foundation Project of Chongqing CST C(No.2012jjA40022, No.2011jjA40027).
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  • Corresponding author: GUO Ping
  • Received Date: 2013-01-01
  • Rev Recd Date: 2013-05-01
  • Publish Date: 2013-09-25
  • Arithmetical operations are fundamental in computing models. But arithmetic operations in membrane computing are restricted in integer field. In this paper, we present fraction arithmetic P systems for performing addition, subtraction, multiplication, division on fractions through designing the rules with priority. Some examples are given to illustrate how to compute the arithmetical fractions in these systems and show that the designed rules can carry out correct arithmetic computations of fractions.
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  • G.H. Păun, “Computing with membranes”, Journal of Computer and System Sciences, Vol.61, No.1, pp.108-143, 2000.
    C. Martin-Vide, J. Pazos, G.H. Păun, A. Rodriguez-Paton,“Tissue Psystems”, Theoretical Computer Science, Vol.296,N o.2, pp.295-326, 2003.
    J.K. Jiang, X.L. Shi, “Degree of spiking neural Psystemsw ithout delay”, Chinese Journal of Electronics, Vol.21, No.3,p p.419-424, 2012.
    L. Pan, G.H. Păun, “Spiking neural Psystems with anti-spikes”,I nternational Journal of Computers, Communications & Control,Vol.4, No.3, pp.273-282, 2009.
    L. Pan, T.O. Ishdorj, “ Psystems with active membranes and separation rules”, Journal of Universal Computer Science,Vol.10, No.5, pp.630-649, 2004.
    C. Lu, X.L. Shi, “Uniform solution to QSAT by Psystems withp roteins”, Chinese Journal of Electronics, Vol.21, No.4, pp.667-6 72, 2012.
    J. Wang, H.J. Hoogeboom, L. Pan, G.H. Păun, M.J. Pérez-J iménez, “Spiking neural Psystems with weights”, Neural Computation,Vol.22, No.10, pp.2615-2646, 2010.
    L. Pan, J. Wang, H.J. Hoogeboom, “Spiking neural Psystemsw ith astrocytes”, Neural Computation, Vol.24, No.3, pp.805-8 25, 2012.
    L. Pan, M.J. Pérez-Jiménez, “Computational complexity oft issue-like Psystems”, Journal of Complexity, Vol.26, No.3,p p.296-315, 2010.
    L. Pan, X. Zeng, X. Zhang, “Time-free spiking neural Psystems”,N eural Computation, Vol.23, No.5, pp.1320-1342, 2011.
    T. Song, L. Pan, J. Wang, I. Venkat, K.G. Subramanian, R. Abdullah,“Normal forms of spiking neural Psystems with antispikes”,I EEE Transactions on Nanobioscience, Vol.11, No.4,p p.352-360, 2012.
    L. Pan, C. Martin-Vide, “Solving multidimensional 0-1 knapsackp roblem by Psystems with input and active membranes”,J ournal of Parallel and Distributed Computing, Vol.65, No.12,p p.1578-1584, 2005.
    A. Alhazov, C. Martin-Vide, L. Pan, “Solving a PSPACEcompletep roblem by recognizing Psystems with restricted activem embranes”, Fundamenta Informaticae, Vol.58, No.2, pp.66-7 7, 2003.
    T.O. Ishdorj, A. Leporati, L. Pan, X. Zeng, X. Zhang, “DeterministicS olutions to QSAT and Q3SAT by spiking neural Ps ystems with pre-computed resources”, Theoretical ComputerS cience, Vol.411, No.25, pp.2345-2358, 2010.
    X. Zhang, S. Wang, Y. Niu, L. Pan, “Tissue Psystems with cells eparation: Attacking the partition problem”, Science ChinaI nformation Sciences, Vol.54, No.2, pp.293-304, 2011.
    L. Pan, Gh. Păun, M. J. Pérez-Jiménez, “Spiking neural Ps ystems with neuron division and budding”, Science China InformationS ciences, Vol.54, No.8, pp.1596-1607, 2011.
    Gh. Păun, Membrane Computing: An Introduction, Springer-Verlag, Berlin, 2002.
    Gh. Păun, G. Rozenberg, A. Salomaa (Eds.), Handbook ofM embrane Computing, Oxford University Press, 2010.
    The PSystems Website.
    A. Atanasiu, “Arithmetic with membranes”, Romanian Journal of Information Science and Technology, Vol.4, No.1-2, pp.5-20,2 001.
    P. Guo, J. Chen, “Arithmetic operation in membrane system”, Proc. of International Conference on BioMedical Engineering and Informatics, Sanya, Hainan, China, pp.231-234, 2008.
    P. Guo, H.Y. Zhang, “Arithmetic operation in single membrane”,Proc. of International Conference on Computer Science and Software Engineering, Wuhan, Hubei, China, pp.532-5 35, 2008.
    P. Guo, S.J. Liu, “Arithmetic expression evaluation in membranec omputing with priority”, Advanced Materials Research,Vol.225-226, pp.1115-119, 2011.
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