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DECIDING THE EXISTENCE OF MINORITY TERMS
Canadian Mathematical Bulletin ( IF 0.5 ) Pub Date : 2019-10-24 , DOI: 10.4153/s0008439519000651
Alexandr Kazda , Jakub Opršal , Matt Valeriote , Dmitriy Zhuk

This paper investigates the computational complexity of deciding if a given finite idempotent algebra has a ternary term operation $m$ that satisfies the minority equations $m(y,x,x) \approx m(x,y,x) \approx m(x,x,y) \approx y$. We show that a common polynomial-time approach to testing for this type of condition will not work in this case and that this decision problem lies in the class NP.

中文翻译:

确定少数条款的存在

本文研究了确定给定的有限幂等代数是否具有满足少数方程 $m(y,x,x) \approx m(x,y,x) \approx m( x,x,y) \近似 y$。我们表明,在这种情况下,用于测试此类条件的常用多项式时间方法将不起作用,并且该决策问题属于 NP 类。
更新日期:2019-10-24
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