Research on symmetry detection focuses on identifying and detecting new types of
symmetry. The paper presents an algorithm that is capable of detecting any type of …

The purpose of this chapter is to summarize what is known about symmetric Boolean
functions, but will concentrate primarily on my own work. I will discuss several new types of …

Different forms of symmetry based on cofactors of Boolean functions are characterized in the
Reed Muller spectral domain. Furthermore it is shown that if the arguments of the function …

The ability to identify special properties such as symmetries, linearity, or duality in Boolean
logic functions is very useful in many aspects of logic synthesis. Another tool whose uses …

To simplify the process for identifying 12 types of symmetric variables in the canonical Reed–
Muller (CRM) algebra system, we propose a new symmetry detection algorithm based on …

The detection of symmetries in a switching function is an NP-complete problem. In this paper
a single line solution for detecting total symmetry been proposed. The proposed method …

The detection of symmetries in a switching function is an NP-complete problem. In this
paper, a single-line solution for detecting total symmetry has been proposed. The proposed …

Detection methods for a class of symmetries called antisymmetries are presented. Work in
(JE Rice et al., 2002) gives details of these antisymmetries for Boolean logic, while this work …

Super symmetry is a type of matrix-based symmetry that extends the concept of total
symmetry. Super symmetric functions are" even more symmetric" than totally symmetric …

Detecting the symmetries of a Boolean function can lead to simpler implementations both at
the hardware and software level. Large clusters of mutually symmetric variables are more …