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«THE BULLETIN OF IRKUTSK STATE UNIVERSITY». SERIES «MATHEMATICS»
«IZVESTIYA IRKUTSKOGO GOSUDARSTVENNOGO UNIVERSITETA». SERIYA «MATEMATIKA»
ISSN 1997-7670 (Print)
ISSN 2541-8785 (Online)

List of issues > Series «Mathematics». 2025. Vol 54

The Task-Based Approach: A New Paradigm for Building Trustworthy Artificial Intelligence

Author(s)

Andrey V. Nechesov1, Evgenii E. Vityaev1,2, Sergey S. Goncharov1,2, Dmitry I. Sviridenko1 

1 The Artificial Intelligence Research Center of Novosibirsk State University, Novosibirsk, Russian Federation

2 Sobolev institute of mathematics SB RAS, Novosibirsk, Russian Federation

Abstract
While AI systems excel at reasoning within formal frameworks, their tendency to hallucinate remains a critical challenge. This paper proposes a task-based approach to enhance reliability. By focusing on the specific task and its resolution criteria, we ensure AI solutions are informed by a deep understanding of the problem’s inherent limitations, including its defining axioms and theorems. This comprehension of the problem’s structure and constraints is key to mitigating hallucination and building trustworthy AI.
About the Authors

Andrey V. Nechesov, Cand. Sci. (Phys.-Math.), Novosibirsk State University, Novosibirsk, 630090, Russian Federation, nechesoff@gmail.com

Evgenii E. Vityaev, Dr. Sci. (Phys.–Math.), Prof., Novosibirsk State University, Novosibirsk, 630090, Russian Federation, vityaev@math.nsc.ru

Sergey S. Goncharov, Academician RAS, Prof., Novosibirsk State University, Novosibirsk, 630090, Russian Federation, s.s.goncharov@math.nsc.ru

Dmitry I. Sviridenko, Dr. Sci. (Phys.–Math.), Prof., Novosibirsk State University, Novosibirsk, 630090, Russian Federation, dsviridenko47@gmail.com

For citation
Nechesov A. V., Vityaev E. E., Goncharov S. S., Sviridenko D. I. The TaskBased Approach: A New Paradigm for Building Trustworthy Artificial Intelligence. The Bulletin of Irkutsk State University. Series Mathematics, 2025, vol. 54, pp. 96–112. https://doi.org/10.26516/1997-7670.2025.54.96
Keywords
artificial intelligence, machine learning, agent-based approach, task approach, computability, semantic modeling
UDC
519.7
MSC
68W30, 68U35
DOI
https://doi.org/10.26516/1997-7670.2025.54.96
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