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International Journal for Research Trends and Innovation
International Peer Reviewed & Refereed Journals, Open Access Journal
ISSN Approved Journal No: 2456-3315 | Impact factor: 8.14 | ESTD Year: 2016
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Issue: May 2026
Volume 11 | Issue 5
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Impact Factor : 8.14
Issue per Year : 12
Volume Published : 11
Issue Published : 120
Article Submitted : 24205
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| Paper Title: | A Unified Theoretical Framework for Neuro-Symbolic Reasoning |
| Authors Name: | Aayushi |
| Download E-Certificate: | Download |
| Author Reg. ID: |
IJRTI_211311
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| Published Paper Id: | IJRTI2604324 |
| Published In: | Volume 11 Issue 4, April-2026 |
| DOI: | |
| Abstract: | Artificial Intelligence has developed through two main approaches: symbolic AI, which focuses on logical reasoning, and neural AI, which focuses on learning from data. While both approaches are powerful, each has its own limitations. This study proposes a unified theoretical framework that combines symbolic reasoning with neural learning, known as neuro-symbolic reasoning. The research introduces a mathematical model that embeds logical expressions into continuous vector spaces and enables reasoning through differentiable operations. The framework ensures approximate soundness and completeness while maintaining computational feasibility. It also improves interpretability by incorporating logical constraints into neural systems. Overall, this work provides a theoretical foundation for integrating learning and reasoning in AI and supports the development of more reliable and explainable intelligent systems. |
| Keywords: | Neuro-Symbolic AI, Artificial Intelligence, Symbolic Reasoning, Neural Networks, Knowledge Representation, Differentiable Reasoning, Explainable AI (XAI), Logical Inference, Hybrid AI Systems, Mathematical Modeling |
| Cite Article: | "A Unified Theoretical Framework for Neuro-Symbolic Reasoning", International Journal for Research Trends and Innovation (www.ijrti.org), ISSN:2456-3315, Vol.11, Issue 4, page no.c394-c429, April-2026, Available :http://www.ijrti.org/papers/IJRTI2604324.pdf |
| Downloads: | 000205505 |
| ISSN: |
2456-3315 | IMPACT FACTOR: 8.14 Calculated By Google Scholar| ESTD YEAR: 2016 An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 8.14 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator |
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Published Paper ID: IJRTI2604324
Registration ID:211311
Published In: Volume 11 Issue 4, April-2026
DOI (Digital Object Identifier):
Page No: c394-c429 Country: meerut, Uttar Pradesh, India Research Area: Computer Science & Technology Publisher : IJ Publication Published Paper URL : https://www.ijrti.org/viewpaperforall?paper=IJRTI2604324 Published Paper PDF: https://www.ijrti.org/papers/IJRTI2604324 |
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ISSN: 2456-3315
Impact Factor: 8.14 and ISSN APPROVED,
Journal Starting Year (ESTD) : 2016
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