The calculus of relations

Steven Givant
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Steven Givant: Mills College, Department of Mathematics

Chapter Chapter 1 in Introduction to Relation Algebras, 2017, pp 1-34 from Springer

Abstract: Abstract The theory of relation algebras naturally begins with the concrete study of binary relations and operations on binary relations. This immediately raises several questions. First, what exactly is a binary relation, and how can such relations be visualized? Second, what are the natural operations on binary relations, and how can these operations be visualized? Third, what are the laws that govern the behavior of these operations, and how can the validity of these laws be established? The theory that addresses these questions is usually referred to as the calculus of relations. It is the task of this chapter to present a brief outline of this calculus.

Date: 2017
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DOI: 10.1007/978-3-319-65235-1_1

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