Published September 1, 2023 | Version v1
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Experiments of Randomized Hints on an Axiom of Infinite-Valued Lukasiewicz Logic

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Abstract: In this paper, we present an experiment of our randomized hints strategy of automated reasoning for yielding Axiom(5) from Axiom(1)(2)(3)(4) of Infinite-Valued Lukasiewicz Logic. In the experiment, we randomly generated a set of hints with size ranging from 30 to 60 for guiding hyper-resolution based search by the theorem prover. We have successfully found the most useful hints list (with 30 clauses) among 150 * 6 hints lists. Also, we discuss a curious non-linear increase of generated clauses in deducing Axiom(5) by applying our randomized hints strategy.

Keywords: Randomized hints, Lukasiewicz Logic, hyper-resolution, condensed detachment, OTTER.

Title: Experiments of Randomized Hints on an Axiom of Infinite-Valued Lukasiewicz Logic

Author: Ruo Ando, Yoshiyasu Takefuji

International Journal of Novel Research in Computer Science and Software Engineering

ISSN 2394-7314

Vol. 10, Issue 3, September 2023 - December 2023

Page No: 1-6

Novelty Journals

Website: www.noveltyjournals.com

Published Date: 01-September-2023

DOI: https://doi.org/10.5281/zenodo.8307890

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https://www.noveltyjournals.com/upload/paper/Experiments%20of%20Randomized%20Hints-01092023-2.pdf

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International Journal of Novel Research in Computer Science and Software Engineering, ISSN 2394-7314, Novelty Journals, Website: www.noveltyjournals.com

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Journal article: 2394-7314 (ISSN)
Journal article: https://www.noveltyjournals.com/upload/paper/Experiments%20of%20Randomized%20Hints-01092023-2.pdf (URL)