Abstract
The parallel substitution algorithm, which is a spatial model for representing fine-grained parallel computations, is used for constructing self-replicating structures in a cellular space. The use of this model allows one to create more compact (in terms of the number of cell states and transition rules) and structured self-reproduction programs compared to the classical cellular automaton model. Two parallel substitution algorithms for modeling the self-reproduction of a cellular structure having the shape of a rectangular loop are presented. One of them models the self-reproduction of the original structures from left to right, and the other, from left to right and from bottom to top.
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REFERENCES
Von Neumann, J., Theory of Self-Replicating Automata, Univ. of Illinois Press, 1966. Translated under the title Teoriya samovosproizvodyashchikhsya avtomatov, Moscow: Mir, 1971.
Codd, E.F., Cellular Automata, New York: Academic, 1968.
Langton, C.G., Self-Reproduction in Cellular Automata, Phys. D, 1984, vol. 10, p. 135.
Byl, J., Self-Reproduction in Small Cellular Automata, Phys. D, 1989, vol. 34, p. 295.
Reggia, J.A., Armentrout, S.L., Chou, H.-H., and Peng, Y., Simple Systems That Exhibit Self-Directed Replication, Sci., 1993, vol. 259, p. 1282.
Achasova, S.M. and Bandman, O.L., Korrektnost' parallel'nykh vychislitel'nykh protsessov (Correctness of Parallel Computational Processes), Novosibirsk: Nauka, 1990.
Achasova, S. M., Bandman, O.L., Markova, V.P., and Piskunov, S.V., Parallel Substitution Algorithm. Theory and Application, Singapore: World Sci., 1994.
Chou, H.-H. and Reggia, J.A., Emergence of Self-Reproducing Structures in a Cellular Automata Space, Phys. D, 1997, vol. 110, p. 276.
Stauffer, A. and Sipper, M., Emergence of Self-Reproducing Loops in an Interactive, Hardware-Implemented Game-of-Life Environment, in Lecture Notes in Computer Science, Berlin: Springer, 2002, vol. 2493, p. 123.
Azpeitia, I. and Ibanez, J., Spontaneous Emergence of Robust Cellular Replicators, in Lecture Notes in Computer Science, Berlin: Springer, 2002, vol. 2493, p. 132.
. Mange, D., Stauffer, A., and Tempesti, G., Embryonics: A Macroscopic View of the Molecular Architecture, in Lecture Notes in Computer Science, Berlin: Springer, 1998, vol. 1478, p. 174.
Mange, D., Stauffer, A., and Tempesti, G., Embryonics: A Microscopic View of the Molecular Architecture, in Lecture Notes in Computer Science, Berlin: Springer, 1998, vol. 1478, p. 185.
Prodan, L., Tempesti, G., Mange, D., and Stauffer, A., A Biology Meets Electronics: The Path to a Bio-Inspired FPGA, Lecture Notes in Computer Science, Berlin: Springer, 2000, vol. 1801, p. 187.
Tempesti, G., A New Self-reproducing Cellular Automaton Capable of Construction and Computation, Lecture Notes in Computer Science, Berlin: Springer, 1995, vol. 929, p. 555.
Chou, H.-H. and Reggia, J.A., Problem Solving During Artificial Selection of Self-Replicating Loops, Phys. D, 1998, vol. 115, p. 293.
Petraglio, E., Henry, J.-M., and Tempesti, G., Arithmetic Operations on Self-Replicating Cellular Automata, Lecture Notes in Artificial Intelligence, 1999, vol. 1674, p. 447.
Stauffer, A. and Sipper, M., On the Relationship between Cellular Automata and L-Systems: The Self-Replication Case, Phys. D, 1998, vol. 116, pp. 71–80.
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Achasova, S.M. Simple Self-Reproduction Programs in a Cellular Space Based on the Parallel Substitution Algorithm. Programming and Computer Software 30, 181–187 (2004). https://doi.org/10.1023/B:PACS.0000036416.83388.aa
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DOI: https://doi.org/10.1023/B:PACS.0000036416.83388.aa