Abstract: In this paper, we introduce the notion of ordered directionally monotone function as a type of function which allows monotonicity along different directions in different points. In ...

ABSTRACT: This survey article illustrates many important current trends and perspectives for the field and their applications, of interest to researchers in modern algebra, mathematical logic and ...

This Python library implements the set of rules described in arxiv:2407.01337, to compute the immediate neighbours of a given monotone non-degenerate Boolean function, without the need to generate the ...

1 School of Computer, Jiangxi University of Chinese Medicine, Nanchang, China 2 National Pharmaceutical Engineering Center for Preparation of Chinese Herbal Medicine, Jiangxi University of Chinese ...

This research was supported by the United States Air Force through the Office of Scientific Research, Air Research and Development Command. Note: The article usage is presented with a three- to ...

In many real-world settings, a team of agents must coordinate its behaviour while acting in a decentralised fashion. At the same time, it is often possible to train the agents in a centralised fashion ...

Abstract: We consider the problem of constructing a penalty function associated with a given monotone function. We provide a construction that allows the monotone function to be discontinuous or ...