Arithmetic

Steven Givant
Additional contact information
Steven Givant: Mills College, Department of Mathematics

Chapter Chapter 4 in Introduction to Relation Algebras, 2017, pp 113-139 from Springer

Abstract: Abstract The equational language of relation algebras is highly expressive, and the deductive power of the equational theory is substantial. In fact, every statement about binary relations that can be expressed in the first-order language of relations using at most three variables can equivalently be expressed as an equation in the language of relation algebras, and vice versa. Furthermore, an equation is derivable from the axioms of relation algebras if and only if a corresponding three-variable sentence is provable in a certain restricted version of first-order logic in which there are just three variables.

Date: 2017
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-65235-1_4

Ordering information: This item can be ordered from
http://www.springer.com/9783319652351

DOI: 10.1007/978-3-319-65235-1_4

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().