双元集合上的极小部分超克隆

Proceedings. 34th International Symposium on Multiple-Valued Logic Pub Date : 2004-05-19 DOI:10.1109/ISMVL.2004.1319929

J. Pantović, G. Vojvodic

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引用次数: 9

摘要

设A是一个双元素集合。Machida证明了超克隆格具有连续基性。本文首先确定了所有的极小部分超克隆。在此基础上，作者给出了最小超操作的所有三个元素子集，它们的联合生成了所有超操作的克隆，以及最小部分超操作的所有四个最小子集，它们的联合生成了所有部分超操作的克隆。

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Minimal partial hyperclones on a two-element set

Let A be a two-element set. It has been proven by Machida that the lattice of hyperclones has continuum cardinality. The current paper first determines all the minimal partial hyperclones. Following this, the authors give all three-element subsets of minimal hyperoperations whose union generates the clone of all hyperoperations as well as all four minimal subsets of minimal partial hyperoperations whose union generates the clone of all partial hyperoperations.

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Proceedings. 34th International Symposium on Multiple-Valued Logic

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