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arXiv · 1711.09580

Notes on the Polish Algorithm

Oliver Deiser
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Abstract

We study, with the help of a computer program, the Polish Algorithm for finite terms satisfying various algebraic laws, e.g., left distributivity a(bc) = (ab)(ac). While the termination of the algorithm for left distributivity remains open in general, we can establish some partial results, which might be useful towards a positive solution. In contrast, we show the divergence of the algorithm for the laws a(bc) = (ab)(cc) and a(bc) = (ab)(a(ac)).

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Oliver Deiser. 2017-11-27. Notes on the Polish Algorithm. https://arxiv.org/abs/1711.09580

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