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arXiv · 2204.08512

An Experiment of Randomized Hints on an Axiom of Infinite-Valued Lukasiewicz Logic

Ruo Ando·Yoshiyasu Takefuji
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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 OTTER. 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.

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Ruo Ando, Yoshiyasu Takefuji. 2022-04-15. An Experiment of Randomized Hints on an Axiom of Infinite-Valued Lukasiewicz Logic. https://arxiv.org/abs/2204.08512

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