Abstract
The innovative model of partial array languages generated by basic puzzle partial array grammars is available in the literature. Here we define Partial array Token Petri Net Structure (PATPNS) to generate partial array languages. Further we introduce Partial Array Token Petri Net P System (PATPNPS) to generate partial array languages and compared with basic puzzle partial array grammars for generative power. PATPNS is also compared with local and recognizable partial array languages.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Berstel, J., Boasson, L.: Partial words and a theorem of Fine and Wilf. Theor. Comput. Sci. 218(1), 135–141 (1999)
Giammarresi, D., Restivo, A.: Two-dimensional languages. In: Rozenberg, G., Salomaa, A. (eds.) Handbook of Formal Languages, pp. 215–267. Springer, Heidelberg (1997). https://doi.org/10.1007/978-3-642-59126-6_4
Lalitha, D.: Rectangular array languages generated by a Colored Petri Net. In: IEEE International Conference on Electrical Computer and Communication Technologies, pp. 1–5 (2015)
D., L.: Rectangular array languages generated by a Petri net. In: Sethi, I.K. (ed.) Computational Vision and Robotics. AISC, vol. 332, pp. 17–27. Springer, New Delhi (2015). https://doi.org/10.1007/978-81-322-2196-8_3
Lalitha, D., Rangarajan, K., Thomas, D.G.: Rectangular arrays and Petri nets. In: Barneva, R.P., Brimkov, V.E., Aggarwal, J.K. (eds.) IWCIA 2012. LNCS, vol. 7655, pp. 166–180. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-34732-0_13
Mary Metilda, M.I., Lalitha, D.: Kolam generated by color Petri nets. In: Tuba, M., Akashe, S., Joshi, A. (eds.) Information and Communication Technology for Sustainable Development. AISC, vol. 933, pp. 675–681. Springer, Singapore (2020). https://doi.org/10.1007/978-981-13-7166-0_68
Mary Metilda, M.I., Lalitha, D.: Petri nets for pasting tiles. In: Solanki, V.K., Hoang, M.K., Lu, Z.J., Pattnaik, P.K. (eds.) Intelligent Computing in Engineering. AISC, vol. 1125, pp. 701–708. Springer, Singapore (2020). https://doi.org/10.1007/978-981-15-2780-7_76
Nivat, M., Saoudi, A., Subramanian, K.G., Siromoney, R., Dare, V.R.: Puzzle grammar and context-free array grammars. Int. J. Pattern Recogn. Artif. Intell. 05(05), 663–676 (1991)
Paun, Gh.: Computing with membranes. J. Comput. Syst. Sci. 61(1), 108–143 (2000)
Peterson, J.L.: Petri Net Theory and Modeling of Systems. Prentice Hall Inc., Englewood Cliffs (1981)
Sasikala, K., Kalyani, T., Thomas, D.G.: Partial array grammars and partial array-rewriting \(P\) systems. Math. Eng. Sci. Aerosp. 11(1), 227–236 (2020)
Subramanian, K.G., Saravanan, R., Geethalakshmi, M., Helen Chandra, P., Margenstern, M.: \(P\) systems with array object and array rewriting rules. Prog. Nat. Sci. 17(4), 479–485 (2007)
Sweety, F., Sasikala, K., Kalyani, T., Thomas, D.G.: Partial array-rewriting \(P\) systems and basic puzzle partial array grammar. In: AIP Conference Proceedings, vol. 2277, p. 030003 (2020)
Sweety, F., Thomas, D.G., Dare, V.R., Kalyani, T.: Recoginizability of partial array languages. J. Comb. Math. Comb. Comput. 69, 237–249 (2009)
Vijaya Chitra, S., Sasikala, K.: Squares in partial arrays. In: AIP Conference Proceedings, vol. 2112, pp. 20–34 (2019)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Switzerland AG
About this paper
Cite this paper
Sasikala, K., Sweety, F., Kalyani, T., Thomas, D.G. (2021). Partial Array Token Petri Net and P System. In: Freund, R., Ishdorj, TO., Rozenberg, G., Salomaa, A., Zandron, C. (eds) Membrane Computing. CMC 2020. Lecture Notes in Computer Science(), vol 12687. Springer, Cham. https://doi.org/10.1007/978-3-030-77102-7_8
Download citation
DOI: https://doi.org/10.1007/978-3-030-77102-7_8
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-77101-0
Online ISBN: 978-3-030-77102-7
eBook Packages: Computer ScienceComputer Science (R0)