Abstract
Social media platforms have played a key role in weaponizing the polarization of social, political, and democratic processes. This is, mainly, because they are a medium for opinion formation. Opinion dynamic models are a tool for understanding the role of specific social factors on the acceptance/rejection of opinions and they can be used to analyze certain assumptions on human behaviors. This work presents a framework that uses concurrent set relations as the formal basis to specify, simulate, and analyze social interaction systems with dynamic opinion models. Standard models for social learning are obtained as particular instances of the proposed framework. It has been implemented in the Maude system as a fully executable rewrite theory that can be used to better understand how opinions of a system of agents can be shaped. This paper also reports an initial exploration in Maude on the use of reachability analysis, probabilistic simulation, and statistical model checking of important properties related to opinion dynamic models.
This work has been partially supported by the SGR project PROMUEVA (BPIN 2021000100160) under the supervision of Minciencias (Ministerio de Ciencia Tecnología e Innovación, Colombia).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Agha, G., Meseguer, J., Sen, K.: PMaude: rewrite-based specification language for probabilistic object systems. ENTCS 153(2), 213–239 (2006)
Alvim, M.S., Amorim, B., Knight, S., Quintero, S., Valencia, F.: A formal model for polarization under confirmation bias in social networks. Log. Methods Comput. Sci. 19(1) (2023)
Ballard, A.O., DeTamble, R., Dorsey, S., Heseltine, M., Johnson, M.: Dynamics of polarizing rhetoric in congressional tweets. Legis. Stud. Q. 48(1), 105–144 (2023)
Beaufort, M.: Digital media, political polarization and challenges to democracy. Inf. Commun. Soc. 21(7), 915–920 (2018)
Bramson, A., Grim, P., Singer, D.J., Berger, W.J., Sack, G., Fisher, S., Flocken, C., Holman, B.: Understanding polarization: Meanings, measures, and model evaluation. Philoso. Sci. 84(1), 115–159 (2017)
Center for Strategic and International Studies: The #MilkTeaAlliance in Southeast Asia: Digital revolution and repression in Myanmar and Thailand (2021). https://www.csis.org/blogs/new-perspectives-asia/milkteaalliance-southeast-asia-digital-revolution-and-repression, visited 12-30-2023
Clavel, M., Durán, F., Eker, S., Lincoln, P., Martí-Oliet, N., Meseguer, J., Talcott, C.: All About Maude—A High-Performance Logical Framework, LNCS, vol. 4350. Springer, Berlin (2007)
Das, A., Gollapudi, S., Munagala, K.: Modeling opinion dynamics in social networks. In: Proceedings of the 7th ACM International Conference on Web Search and Data Mining, pp. 403–412. Association for Computing Machinery, New York, NY, USA (2014)
Degroot, M.H.: Reaching a consensus. J. Am. Stat. Assoc. 69(345), 118–121 (1974)
Fagnani, F., Zampieri, S.: Randomized consensus algorithms over large scale networks. In: 2007 Information Theory and Applications Workshop, pp. 150–159 (2007)
Fitriani, H.M.: Social media and the fight for political influence in Southeast Asia (2023). https://thediplomat.com/2023/08/social-media-and-the-fight-for-political-influence-in-southeast-asia, visited 12-30-2023
Foundation, T.A.: Violent Conflict, Tech Companies, and Social Media in Southeast Asia: Key Dynamics and Responses. The Asia Foundation, San Francisco, USA (2020)
Garrett, R.K.: The “echo chamber” distraction: Disinformation campaigns are the problem, not audience fragmentation. J. Appl. Res. Memory Cognition 6 (2017)
Golub, B., Sadler, E.: Learning in social networks. Social Science Research Network (SSRN) (2017). http://dx.doi.org/10.2139/ssrn.2919146
Gordon-Zolov, T.: Chile’s estallido social and the art of protest. Sociologica 17(1), 41–55 (2023)
Gupta, S., Chauhan, V.: Understanding the role of social networking sites in political marketing. Jindal J. Bus. Res. 12(1), 58–72 (2023)
Xia, H., Huili Wang, Z.X.: Opinion dynamics: A multidisciplinary review and perspective on future research. Int. J. Knowl. Syst. Sci. 2(4), 72–91 (2023)
Iversen, T., Soskice, D.: Information, inequality, and mass polarization: Ideology in advanced democracies. Comput. Pol. Stud. 48(13), 1781–1813 (2015)
Kirby, E.: The city getting rich from fake news. BBC News Documentary (2017). https://www.bbc.com/news/magazine-38168281
Lynch, M.: After the arab spring: How the media trashed the transitions. J. Democr. 26(4), 90–99 (2015)
Meseguer, J.: Conditional rewriting logic as a unified model of concurrency. Theor. Comput. Sci. 96(1), 73–155 (1992)
Neverov, K., Budko, D.: Social networks and public policy: Place for public dialogue? In: Proceedings of the International Conference IMS-2017, pp. 189–194. Association for Computing Machinery, New York, NY, USA (2017)
Olarte, C., Ramírez, C., Rocha, C., Valencia, F.: Opinion dynamic modeling as concurrent set relations in rewriting logic. https://github.com/promueva/maude-opinion-model
Rocha, C., Muñoz, C.A.: Synchronous set relations in rewriting logic. Sci. Comput. Program. 92, 211–228 (2014)
Rocha, C., Muñoz, C.A., Dowek, G.: A formal library of set relations and its application to synchronous languages. Theor. Comput. Sci. 412(37), 4853–4866 (2011)
Rubio, R., Martí-Oliet, N., Pita, I., Verdejo, A.: Strategies, model checking and branching-time properties in maude. J. Log. Algebraic Methods Program. 123, 100700 (2021)
Rubio, R., Martí-Oliet, N., Pita, I., Verdejo, A.: Qmaude: Quantitative specification and verification in rewriting logic. In: Chechik, M., Katoen, J., Leucker, M. (eds.) FM 2023. LNCS, vol. 14000, pp. 240–259. Springer, Berlin (2023)
Sarma, P., Hazarika, T.: Social media and election campaigns: an analysis of the usage of twitter during the 2021 Assam assembly elections. Int. J. Soc. Sci. Res. Rev. 6(2), 96–117 (2023)
Suresh, V.P., Nogara, G., Cardoso, F., Cresci, S., Giordano, S., Luceri, L.: Tracking fringe and coordinated activity on twitter leading up to the us capitol attack (2023)
Wikipedia Foundation: 2021 Colombian protests. https://en.wikipedia.org/wiki/2021_Colombian_protests, visited 12-30-2023
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Olarte, C., Ramírez, C., Rocha, C., Valencia, F. (2024). Unified Opinion Dynamic Modeling as Concurrent Set Relations in Rewriting Logic. In: Ogata, K., Martí-Oliet, N. (eds) Rewriting Logic and Its Applications. WRLA 2024. Lecture Notes in Computer Science, vol 14953. Springer, Cham. https://doi.org/10.1007/978-3-031-65941-6_6
Download citation
DOI: https://doi.org/10.1007/978-3-031-65941-6_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-65940-9
Online ISBN: 978-3-031-65941-6
eBook Packages: Computer ScienceComputer Science (R0)