On Converting Logic Programs Into Matrices

Tuan Quoc; Katsumi Inoue

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Paper

On Converting Logic Programs Into Matrices

Topics: Explainable Artificial Intelligence; Knowledge Representation and Reasoning

In Proceedings of the 15th International Conference on Agents and Artificial Intelligence - Volume 2: ICAART, 405-415, 2023 , Lisbon, Portugal

Authors: Tuan Quoc and Katsumi Inoue

Affiliation: National Institute of Informatics, Tokyo, Japan

Keyword(s): Logic Programming, Linear Algebra, Matrix Representation.

Abstract: Recently it has been demonstrated that deductive and abductive reasoning can be performed by exploiting the linear algebraic characterization of logic programs. Those experimental results reported so far on both forms of reasoning have proved that the linear algebraic approach can reach higher scalability than symbol manipulations. The main idea behind these proposed algorithms is based on linear algebra matrix multiplication. However, it has not been discussed in detail yet how to generate the matrix representation from a logic program in an efficient way. As conversion time and resulting matrix dimension are important factors that affect algebraic methods, it is worth investigating in standardization and matrix constructing steps. With the goal to strengthen the foundation of linear algebraic computation of logic programs, in this paper, we will clarify these steps and propose an efficient algorithm with empirical verification.

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Paper citation in several formats:

Quoc, T. and Inoue, K. (2023). On Converting Logic Programs Into Matrices. In Proceedings of the 15th International Conference on Agents and Artificial Intelligence - Volume 2: ICAART; ISBN 978-989-758-623-1; ISSN 2184-433X, SciTePress, pages 405-415. DOI: 10.5220/0011802400003393

@conference{icaart23,
author={Tuan Quoc and Katsumi Inoue},
title={On Converting Logic Programs Into Matrices},
booktitle={Proceedings of the 15th International Conference on Agents and Artificial Intelligence - Volume 2: ICAART},
year={2023},
pages={405-415},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0011802400003393},
isbn={978-989-758-623-1},
issn={2184-433X},
}

TY - CONF

JO - Proceedings of the 15th International Conference on Agents and Artificial Intelligence - Volume 2: ICAART
TI - On Converting Logic Programs Into Matrices
SN - 978-989-758-623-1
IS - 2184-433X
AU - Quoc, T.
AU - Inoue, K.
PY - 2023
SP - 405
EP - 415
DO - 10.5220/0011802400003393
PB - SciTePress