Abstract
A Petri Net is a mathematical model used to generate string languages, which is useful in data analysis, pattern matchings, simulations etc. Array Token Petri Nets were introduced to generate two-dimensional and three-dimensional picture languages. In this paper, we introduce Triangular Array Token Petri Net (TATPN) to generate certain interesting patterns of triangular picture languages using Elementary Evolution Rules (EER) and Parallel Evolution Rules (PER). We also introduce Triangular Array Token Petri Net P System and compared it with TATPN and TTPPS for generative power.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bhuvaneswari, K., Kalyani, T., Lalitha, D.: Triangular tile pasting P system and array generating Petri nets. Int. J. Pure Appl. Math. 107(1), 111–128 (2016)
Bhuvaneswari, K., Kalyani, T., Thomas, D.G., Lalitha, D.: \(P\) systems on iso-triangular arrays. Italian J. Pure Appl. Math. 45 (2021)
Ceterchi, R., Mutyam, M., Paun, G.: Array-rewriting P systems. Nat. Comput. 2, 229–249 (2003)
Immanuel, B., Rangarajan, K., Subramanian, K.G.: String token petri nets. In: Proceedings of the European Conference on Artificial Intelligence, One Day Workshop on Symbolic Networks, at Vanlencia, Spain (2004)
Immanuel, B., Usha, P.: Array-token petri nets and 2D grammars. Int. J. Pure Appl. Math. 101(5), 651–659 (2015)
Kalyani, T., Sasikala, K., Thomas, D.G., Robinson, T., Nagar, A.K., Paramasivan, M.: 3D-array token petri nets generating tetrahedral picture languages. In: Lukić, T., Barneva, R.P., Brimkov, V.E., Čomić, L., Sladoje, N. (eds.) IWCIA 2020. LNCS, vol. 12148, pp. 88–105. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-51002-2_7
Kamaraj, T., Lalitha, D., Thomas, D.G., Thamburaj, R., Nagar, A.K.: Adjunct hexagonal array token petri nets and hexagonal picture languages. Math. Appl. 3, 45–59 (2014)
Kannamma, S., Rangarajan, K., Thomas, D.G., David, N.G.: Array Token Petrinets, Computing and Mathematical Modeling, pp. 299–306. Narosa Publishing House, New Delhi (2006)
Kuberal, S., Kamaraj, T., Kalyani, T.: Octagonal arrays and petri nets: a computational ecology approach. Ekoloji 28, 743–751 (2019)
Lalitha, D., Rangarajan, K.: Petri nets generating Kolam patterns. Indian J. Comput. Sci. Eng. 3(1), 68–74 (2012)
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
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)
Rosenfeld, A., Siromoney, R.: Picture languages - a survey. Lang. Des. 1, 229–245 (1993)
Sharon Philomena, V., Usha, P., Santhiya, R.: Generation of certain patterns using array-token petrinets. Int. J. Comput. Sci. Eng. 7(Special issue 5), 25–29 (2019)
Subramanian, K.G., Saravanan, R., Thamburaj, R.: P systems for array generation and application to Kolam patterns. Forma 22, 47–54 (2006)
Subramanian, K.G., Bera, S., Song, B., Pan, L., Zhang, Z.: Array P systems for array based on parallel rewriting with array contextual rules. In: Pre-Proceedings of Asian Conference on Membrane Computing (ACMC 2017), pp. 403–415 (2017)
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
Kalyani, T., Raman, T.T., Thomas, D.G., Bhuvaneswari, K., Ravichandran, P. (2021). Triangular 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_5
Download citation
DOI: https://doi.org/10.1007/978-3-030-77102-7_5
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)