{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T14:02:54Z","timestamp":1743084174794,"version":"3.40.3"},"publisher-location":"Singapore","reference-count":18,"publisher":"Springer Nature Singapore","isbn-type":[{"type":"print","value":"9789819906871"},{"type":"electronic","value":"9789819906888"}],"license":[{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2023]]},"DOI":"10.1007\/978-981-99-0688-8_8","type":"book-chapter","created":{"date-parts":[[2023,5,13]],"date-time":"2023-05-13T07:02:25Z","timestamp":1683961345000},"page":"93-103","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Representation of\u00a0Evolution of\u00a0One-Dimensional Homogeneous Cellular Automata Using Monoid Action"],"prefix":"10.1007","author":[{"given":"Sreeya","family":"Ghosh","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sumita","family":"Basu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,5,14]]},"reference":[{"key":"8_CR1","unstructured":"Banks: Cellular automata. AI Memo 198, MIT Artificial Intelligence Laboratory, Cambridge, MA (1970)"},{"key":"8_CR2","doi-asserted-by":"crossref","unstructured":"Castillo-Ramirez, A., Gadouleau, M.: On Finite Monoids of Cellular Automata, LNCS, vol. 9664, AUTOMATA 2016: Cellular Automata and Discrete Complex Systems, pp. 90\u2013104, Springer (2016)","DOI":"10.1007\/978-3-319-39300-1_8"},{"key":"8_CR3","doi-asserted-by":"crossref","unstructured":"Castillo-Ramirez, A., Gadouleau, M.: Cellular automata and finite groups. Natural Comput 1\u201314 (2017)","DOI":"10.1007\/s11047-017-9640-3"},{"key":"8_CR4","doi-asserted-by":"crossref","unstructured":"Ceccherini-Silberstein, T., Coornaert, M.: Cellular Automata and Groups. Springer (2010)","DOI":"10.1007\/978-3-642-14034-1"},{"key":"8_CR5","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1016\/S0022-0000(05)80025-X","volume":"48","author":"J Kari","year":"1994","unstructured":"Kari, J.: Reversibility and surjectivity problems of cellular automata. J. Comput. Syst. Sci. 48, 149\u2013182 (1994)","journal-title":"J. Comput. Syst. Sci."},{"key":"8_CR6","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1016\/j.tcs.2004.11.021","volume":"334","author":"J Kari","year":"2005","unstructured":"Kari, J.: Theory of cellular automata: a survey. Theoret. Comput. Sci. 334, 3\u201333 (2005)","journal-title":"Theoret. Comput. Sci."},{"key":"8_CR7","doi-asserted-by":"publisher","first-page":"219","DOI":"10.1007\/BF01223745","volume":"93","author":"O Martin","year":"1984","unstructured":"Martin, O., Odlyzko, A.M., Wolfram, S.: Algebraic properties of cellular automata. Commun. Math. Phys. 93, 219\u2013258 (1984)","journal-title":"Commun. Math. Phys."},{"key":"8_CR8","unstructured":"von Neumann J.: Theory of Self-Reproducing Automata, University of Illinois Press, Illinois (1966) Edited and completed by A.W. Burks"},{"key":"8_CR9","doi-asserted-by":"crossref","unstructured":"Salo, V.: Groups and monoids of cellular automata. In: Kari, J. (ed.) Cellular Automata and Discrete Complex Systems. LNCS, vol. 9099, pp. 17\u201345. Springer, Berlin, Heidelberg (2015)","DOI":"10.1007\/978-3-662-47221-7_3"},{"key":"8_CR10","doi-asserted-by":"crossref","unstructured":"Sarkar P.: A brief history of cellular automata. ACM Comput. Surv. 32(1) (2000)","DOI":"10.1145\/349194.349202"},{"key":"8_CR11","unstructured":"Daniel, S.: The Nature of Code, Magic Book Project (2012)"},{"key":"8_CR12","doi-asserted-by":"crossref","unstructured":"Schiff, J.L.: Cellular Automata - A Discrete View of the World. Wiley (2008)","DOI":"10.1002\/9781118032381"},{"key":"8_CR13","doi-asserted-by":"publisher","first-page":"215","DOI":"10.1090\/psapm\/014\/9947","volume":"14","author":"SM Ulam","year":"1962","unstructured":"Ulam, S.M.: On some mathematical problems connected with patterns of growth of figures. Proc. Symp. Appl. Math. 14, 215\u2013224 (1962)","journal-title":"Proc. Symp. Appl. Math."},{"key":"8_CR14","volume-title":"Theory and Applications of Cellular Automata","author":"S Wolfram","year":"1986","unstructured":"Wolfram, S.: Theory and Applications of Cellular Automata. World Scientific, Singapore (1986)"},{"key":"8_CR15","unstructured":"Wolfram, S.: A New Kind of Science. Wolfram Media (2002)"},{"key":"8_CR16","unstructured":"Ghosh, S., Basu, S.: Evolution patterns of some boolean cellular automata having atmost one active cell to model simple dynamical systems. Bull. Cal. Math Soc. 108(6), 449\u2013464 (2016)"},{"key":"8_CR17","doi-asserted-by":"publisher","first-page":"75","DOI":"10.25088\/ComplexSystems.30.1.75","volume":"30","author":"S Ghosh","year":"2021","unstructured":"Ghosh, S.: Evolutions of some one-dimensional homogeneous cellular automata. Complex Syst. 30, 75\u201392 (2021)","journal-title":"Complex Syst."},{"key":"8_CR18","unstructured":"Ghosh S., Basu S.: Some Algebraic Properties of Linear Synchronous Cellular Automata (2017). arXiv:1708.09751v1 [nlin CG]"}],"container-title":["Advances in Intelligent Systems and Computing","Proceedings of Second Asian Symposium on Cellular Automata Technology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-981-99-0688-8_8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,5,13]],"date-time":"2023-05-13T07:03:24Z","timestamp":1683961404000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-981-99-0688-8_8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023]]},"ISBN":["9789819906871","9789819906888"],"references-count":18,"URL":"https:\/\/doi.org\/10.1007\/978-981-99-0688-8_8","relation":{},"ISSN":["2194-5357","2194-5365"],"issn-type":[{"type":"print","value":"2194-5357"},{"type":"electronic","value":"2194-5365"}],"subject":[],"published":{"date-parts":[[2023]]},"assertion":[{"value":"14 May 2023","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"ASCAT","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Asian Symposium on Cellular Automata Technology","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"West Bengal","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"India","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2023","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2 March 2023","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"4 March 2023","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"ascat2023","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/www.cellularautomata.in\/ascat2023","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}