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arXiv · 2007.03986

A characterization of 2-threshold functions via pairs of prime segments

Elena Zamaraeva·Jovisa Zunic
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Abstract

A $\{0,1\}$-valued function on a two-dimensional rectangular grid is called threshold if its sets of zeros and ones are separable by a straight line. In this paper we study 2-threshold functions, i.e. functions representable as the conjunction of two threshold functions. We provide a characterization of 2-threshold functions by pairs of oriented prime segments, where each such segment is defined by an ordered pair of adjacent integer points.

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Elena Zamaraeva, Jovisa Zunic. 2020-08-26. A characterization of 2-threshold functions via pairs of prime segments. https://arxiv.org/abs/2007.03986

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