Reversible spiking neural P systems
Tao SONG, Xiaolong SHI, Jinbang XU
Reversible spiking neural P systems
Spiking neural (SN) P systems are a class of distributed parallel computing devices inspired by the way neurons communicate by means of spikes. In this work, we investigate reversibility in SN P systems, as well as the computing power of reversible SN P systems. Reversible SN P systems are proved to have Turing creativity, that is, they can compute any recursively enumerable set of non-negative integers by simulating universal reversible register machine.
membrane computing / spiking neural P system / reversible computing model / universality / reversible register machine
[1] |
Landauer R. Irreversibility and heat generation in the computing process. IBM Journal of Research and Development, 1961, 5(3): 183-191
CrossRef
Google scholar
|
[2] |
Von Neumann J. Theory of self-reproducing automata. University of Illinois Press, 1966
|
[3] |
Bennett C. Logical reversibility of computation. IBM Journal of Research and Development, 1973, 17(6): 525-532
CrossRef
Google scholar
|
[4] |
Morita K, Yamaguchi Y. A universal reversible turing machine. In: Proceedings of the 5th International Conference on Machines, Computations, and Universality. 2007, 90-98
CrossRef
Google scholar
|
[5] |
Priese L. On a simple combinatorial structure sufficient for sublying nontrival self-reproduction. Journal of Cybernetics, 1976, 6: 101-137
CrossRef
Google scholar
|
[6] |
Fredkin E, Toffoli T. Conservative logic. International Journal of Theoretical Physics, 1982, 21(3): 219-253
CrossRef
Google scholar
|
[7] |
Toffoli T, Margolus N. Invertible cellular automata: a review. Physica D: Nonlinear Phenomena, 1990, 45(1): 229-253
|
[8] |
Morita K. Universality of a reversible two-counter machine. Theoretical Computer Science, 1996, 168(2): 303-320
CrossRef
Google scholar
|
[9] |
Leporati A, Zandron C, Mauri G. Reversible P systems to simulate fredkin circuits. Fundamenta Informaticae, 2006, 74(4): 529-548
|
[10] |
Alhazov A, Morita K. On reversibility and determinism in p systems. In: Proceedings of the 10th International Conference on Membrane Computing. 2009, 158-168
|
[11] |
Păaun G. Computing with membranes. Journal of Computer and System Sciences, 2000, 61(1): 108-143
CrossRef
Google scholar
|
[12] |
Ionescu M, Păun G, Yokomori T. Spiking neural P systems. Fundamenta informaticae, 2006, 71(2): 279-308
|
[13] |
Păun G, MARIO J, Rozenberg G. Spike trains in spiking neural P systems. International Journal of Foundations of Computer Science, 2006, 17(4): 975-1002
CrossRef
Google scholar
|
[14] |
Chen H, Freund R, Ionescu M, Pă un G, Pérez-Jiménez M. On string languages generated by spiking neural P systems. Fundamenta Informaticae, 2007, 75(1): 141-162
|
[15] |
Zhang X, Zeng X, Pan L. On string languages generated by spiking neural P systems with exhaustive use of rules. Natural Computing, 2008, 7(4): 535-549
CrossRef
Google scholar
|
[16] |
Păun A, Păun G. Small universal spiking neural P systems. BioSystems, 2007, 90(1): 48-60
CrossRef
Google scholar
|
[17] |
Pan L, Zeng X. Small universal spiking neural P systems working in exhaustive mode. IEEE Transactions on NanoBioscience, 2011, 10(2): 99-105
CrossRef
Google scholar
|
[18] |
Ishdorj T, Leporati A, Pan L, Zeng X, Zhang X. Deterministic solutions to QSAT and Q3SAT by spiking neural P systems with precomputed resources. Theoretical Computer Science, 2010, 411(25): 2345-2358
CrossRef
Google scholar
|
[19] |
Pan L, Păun G, Pérez-Jiménez M. Spiking neural P systems with neuron division and budding. Science China Information Sciences, 2011, 54(8): 1596-1607
CrossRef
Google scholar
|
[20] |
Zeng X, Zhang X, Pan L. Homogeneous spiking neural P systems. Fundamenta Informaticae, 2009, 97(1): 275-294
|
[21] |
Wang J, Hoogeboom H, Pan L, Paun G, Pérez-Jiménez M. Spiking neural P systems with weights. Neural Computation, 2010, 22(10): 2615-2646
CrossRef
Google scholar
|
[22] |
Pan L, Zeng X, Zhang X. Time-free spiking neural P systems. Neural Computation, 2011, 23(5): 1320-1342
CrossRef
Google scholar
|
[23] |
Pan L, Wang J, Hoogeboom H. Spiking neural P systems with astrocytes. Neural Computation, 2012, 24(3): 805-825
CrossRef
Google scholar
|
[24] |
Rozenberg G. Handbook of formal languages: word, language, grammar. Springer Verlag, 1997
|
[25] |
Păun G. Membrane computing: an introduction. Fundamentals of Computation Theory, 2003, 177-220
|
/
〈 | 〉 |