Set theory and logic-driven AI reasoning for decision-making systems
Pravin Manepravin.mane@bharatividyapeeth.eduDepartment of Management Studies Institute of Management and Entrepreneurship Development Pune Bharati Vidyapeeth (Deemed to be University)Pune, Maharashtra, 411038, IndiaView full profile → , Dalwinder Kaurdalvyndhillon@gmail.comSchool of Education Manipal GlobalNxt University No. 3 Jalan Kia PengKuala Lumpur, 50450, MalaysiaView full profile → , *Sagarkumar S. BadhiyeCorresponding authorsagarbadhiye@gmail.comDepartment of Computer Science and Engineering Symbiosis Institute of Technology Nagpur Campus Symbiosis International (Deemed University)Department of Computer Science and Engineering Symbiosis Institute of Technology Nagpur Campus Symbiosis International (Deemed University) Pune, Maharashtra, 412115, IndiaView full profile → , Archana R. Panhalkararchana10bhosale@rediffmail.comDepartment of Artificial Intelligence and Data Science Amrutvahini College of EngineeringDepartment of Artificial Intelligence & Data Science Amrutvahini College of EngineeringSangamner, Maharashtra, 422608, IndiaView full profile → , Anorgul Ashirovaashirova_anorgul@mamunedu.uzDepartment of General Professional Sciences Mamun UniversityGeneral Professional Sciences Mamun University Pune, Khiva, 220900, Uzbekistan0000-0002-3399-7527View full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Apr 2025
- Published Online:
- 18 Mar 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2502
- Pages:
- 671–679
Abstract
Keywords
Subject Classifications
References
[1] Z. Wan, C. K. Liu, H. Yang, C. Li, H. You, Y. Fu, C. Wan, T. Krishna, Y. Lin, and A. Raychowdhury, “Towards Cognitive AI Systems: A Survey and Prospective on Neuro-Symbolic AI,” arXiv preprint, arXiv:2401.01040 (2024).
[2] Zhong-Zhi Li, Duzhen Zhang, Ming-Liang Zhang, Jiaxin Zhang, Zengyan Liu, Yuxuan Yao, Haotian Xu, and Junhao Zheng, “From System 1 to System 2: A Survey of Reasoning Large Language Models,” arXiv preprint, arXiv:2502.17419 (2025).
[3] Timo Schick, Jane Dwivedi-Yu, Roberto Dessì, Roberta Raileanu, Maria Lomeli, Luke Zettlemoyer, Nicola Cancedda, and Thomas Scialom, “Toolformer: Language models can teach themselves to use tools,” Advances in Neural Information Processing Systems, vol. 36, pp. 68539–68551 (2023).
[4] Omar Khattab, Arnav Singhvi, Paridhi Maheshwari, Zhiyuan Zhang, and Keshav Santhanam, “Dspy: Compiling declarative language model calls into self-improving pipelines,” arXiv preprint, arXiv:2310.03714, 2023).
[5] P. Chiranjeevi, T. Poojitha, R. N. Hemanth Kumar, A. B. Sameer, and B. Sai Dharma Teja, “CodeMate: A coding chatbot using generative AI,” International Journal for Interdisciplinary Sciences and Engineering Applications (IJISEA), vol. 6, no. 2, pp. 60–65 (2025).
[6] S. S. Patil and E. Rosemaro, “Automated Cyber Threat Intelligence Analysis using Machine Learning,” International Journal of Advanced Computer Engineering and Communication Technology (IJACECT), vol. 12, no. 1, pp. 11–17 (Apr. 2025).
[7] S. J. Purgał, D. M. Cerna, and C. Kaliszyk, “Differentiable inductive logic programming in high-dimensional space,” arXiv preprint, arXiv:2208.06652, 2022).
[8] K. Gao, K. Inoue, Y. Cao, and H. Wang, “Learning first-order rules with differentiable logic program semantics,” arXiv preprint, arXiv:2204.13570 (2022).
[9] H. Shindo, M. Nishino, and A. Yamamoto, “Differentiable inductive logic programming for structured examples,” in Proceedings of the AAAI Conference on Artificial Intelligence, vol. 35, pp. 5034–5041 (2021).
[10] B. M. Sulaiman, B. A. Hassan, and R. M. Sulaiman, “A new secant method for minima one variable problems,” Journal of Interdisciplinary Mathematics, vol. 26, no. 6, pp. 1015–1021 (2023).
[11] Matthieu Zimmer, Xuening Feng, Claire Glanois, Zhaohui Jiang, Jianyi Zhang, Paul Weng, Dong Li, Jianye Hao and Wulong Liu, “Differentiable logic machines,” arXiv preprint, arXiv:2102.11529 (2021).
[12] H. Shindo, V. Pfanschilling, D. S. Dhami, and K. Kersting, “Learning differentiable logic programs for abstract visual reasoning,” Machine Learning, vol. 113, pp. 8533–8584 (2024).
[13] D. Dhabliya, A. Lavhale, S. Thakur, R. M. Gomathi, A. Kumar, and S. De, “Enhancing cryptographic security through zero-knowledge proofs in theoretical mathematics,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 29, no. 2-B, pp. 913–921 (2026), doi: 10.47974/JDMSC-2542.
[14] A. K. Rajpoot, D. Dhabliya, V. N. Trupti, T. A. Wani, K. Gupta, and L. Lakshmanan, “Quantum cryptography assessing the security and practicality of quantum key distribution in modern communication networks,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 29, no. 2-B, pp. 979–986 (2026), doi: 10.47974/JDMSC-2549.
[15] P. Sahane, M. Gulhane, N. Rakesh, S. M. M. Naidu, M. Grover, and V. Mahajan, “Evaluating lightweight encryption schemes for resource-constrained devices in wireless sensor networks,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 28, no. 5-A, pp. 1803–1812 (2025), doi: 10.47974/JDMSC-2180.




