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The calculus of relations

In: Introduction to Relation Algebras

Author

Listed:
  • Steven Givant

    (Mills College, Department of Mathematics)

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.

Suggested Citation

  • Steven Givant, 2017. "The calculus of relations," Springer Books, in: Introduction to Relation Algebras, chapter 0, pages 1-34, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-65235-1_1
    DOI: 10.1007/978-3-319-65235-1_1
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