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Computing Logic Programming Semantics in Linear Algebra

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Hien D. Nguyen, Chiaki Sakama, Taisuke Sato and Katsumi Inoue

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in: Proceedings of the 12th International Conference on
Multi-disciplinary Trends in Artificial Intelligence (MIWAI 2018),
Lecture Notes in Artificial Intelligence 11248, Springer-Verlag, pages 32-48, 2018.
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## Abstract

Logic programming is a logic-based programming paradigm, and provides languages for declarative
problem solving and symbolic reasoning. In this paper, we develop new algorithms for computing
logic programming semantics in linear algebra. We first introduce an algorithm for computing
the least model of a definite logic program using matrices.
Next, we introduce an algorithm for computing stable models of a normal logic program.
We also develop optimization techniques for speeding-up those algorithms.
Finally, the complexity of them is analyzed and tested in practice.

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