ISSN2456-3315
Impact Factor10.57
UGC CAREApproved
Low Cost₹599 / $45
CrossRefDOI
ESTD2016
Peer ReviewTransparent
AccessOpen
Submission: Always Open
Paper Title
A Unified Theoretical Framework for Neuro-Symbolic Reasoning
Authors
Aayushi
Keywords
Neuro-Symbolic AI, Artificial Intelligence, Symbolic Reasoning, Neural Networks, Knowledge Representation, Differentiable Reasoning, Explainable AI (XAI), Logical Inference, Hybrid AI Systems, Mathematical Modeling
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.
Full Paper, Downloads & Preview
How To Cite
Choose the style your journal or department asks for, then copy it. Every version below is generated from this paper's own record.
IJRTI — journal style
"A Unified Theoretical Framework for Neuro-Symbolic Reasoning", IJRTI - International Journal for Research Trends and Innovation (www.ijrti.org), ISSN:2456-3315, Vol.11, Issue 4, page no.c394-c429, April-2026, Available :https://ijrti.org/papers/IJRTI2604324.pdf
APA — 7th edition
Aayushi. (2026). A Unified Theoretical Framework for Neuro-Symbolic Reasoning. International Journal for Research Trends and Innovation, 11(4), c394-c429. https://ijrti.org/viewpaperforall.php?paper=IJRTI2604324
MLA — 9th edition
Aayushi. "A Unified Theoretical Framework for Neuro-Symbolic Reasoning." International Journal for Research Trends and Innovation, vol. 11, no. 4, 2026, pp. c394-c429, https://ijrti.org/viewpaperforall.php?paper=IJRTI2604324.
Chicago — 17th, bibliography
Aayushi. "A Unified Theoretical Framework for Neuro-Symbolic Reasoning." International Journal for Research Trends and Innovation 11, no. 4 (2026): c394-c429. https://ijrti.org/viewpaperforall.php?paper=IJRTI2604324.
Harvard — author–date
Aayushi (2026) 'A Unified Theoretical Framework for Neuro-Symbolic Reasoning', International Journal for Research Trends and Innovation, 11(4), pp. c394-c429. Available at: https://ijrti.org/viewpaperforall.php?paper=IJRTI2604324
IEEE — numbered reference
Aayushi, "A Unified Theoretical Framework for Neuro-Symbolic Reasoning," IJRTI, vol. 11, no. 4, pp. c394-c429, Apr. 2026.
Vancouver — biomedical
Aayushi. A Unified Theoretical Framework for Neuro-Symbolic Reasoning. IJRTI. 2026 Apr;11(4):c394-c429.
AMA — 11th edition
Aayushi. A Unified Theoretical Framework for Neuro-Symbolic Reasoning. IJRTI. 2026;11(4):c394-c429. Accessed at https://ijrti.org/viewpaperforall.php?paper=IJRTI2604324
BibTeX — Zotero, Mendeley, LaTeX
@article{IJRTI2604324,
author = {Aayushi},
title = {A Unified Theoretical Framework for Neuro-Symbolic Reasoning},
journal = {International Journal for Research Trends and Innovation},
volume = {11},
number = {4},
pages = {c394-c429},
year = {2026},
month = {April},
issn = {2456-3315},
url = {https://ijrti.org/viewpaperforall.php?paper=IJRTI2604324}
}
RIS — EndNote, RefWorks
TY - JOUR
AU - Aayushi
TI - A Unified Theoretical Framework for Neuro-Symbolic Reasoning
T2 - International Journal for Research Trends and Innovation
JA - IJRTI
VL - 11
IS - 4
PY - 2026
SN - 2456-3315
UR - https://ijrti.org/viewpaperforall.php?paper=IJRTI2604324
SP - c394-c429
ER -
Issue
Volume 11 Issue 4,
April-2026
Pages : c394-c429
Other Publication Details
Paper Reg. ID
IJRTI_211311
Published Paper ID
IJRTI2604324
Downloads
205,675
Research Area
Computer Science & TechnologyÂ
Country
meerut, Uttar Pradesh, India
Published
April 2026
Published Paper PDF
https://ijrti.org/papers/IJRTI2604324.pdf
Published Paper URL
https://ijrti.org/viewpaperforall.php?paper=IJRTI2604324
About Publisher
International Journal for Research Trends and Innovation
Published by IJRTI (JW Publication)
2456-3315
ISSN
10.57
Impact Factor
2016
ESTD Year
Open
Access
Impact Factor 10.57 calculated by Google Scholar and Semantic Scholar.
An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 10.57 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator
UGC CARE Approved Journal — Transparent Peer-reviewed journal aligned with UGC’s 2025 suggestive parameters, with CrossRef DOI registration and Scopus Standard metadata on every published paper.
Licence
© 2026 — Authors hold the copyright of this article.
This work is licensed under a
Creative Commons Attribution 4.0 International License
and The Open Definition.
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (CC BY 4.0),
which permits unrestricted use, distribution and reproduction in any medium, provided the original author and source are credited.
Disclaimer:
The content, data and findings in this article are based on the authors’ research and have been
peer-reviewed for academic purposes only. Readers are advised to verify all information before practical
or commercial use. The journal and its editorial board are not liable for any errors, losses or
consequences arising from its use.
Declarations
Funding
No external funding was received for this study.
Conflict of Interest
The authors declare that they have no conflict of interest.
Acknowledgements
The authors would like to thank the reviewers and the editorial board of International Journal for Research Trends and Innovation for their careful reading and constructive comments, and all colleagues who supported the preparation of this manuscript.
