Overlap Algebras: a Constructive Look at Complete Boolean Algebras

The notion of a complete Boolean algebra, although completely legitimate in constructive mathematics, fails to capture some natural structures such as the lattice of subsets of a given set. Sambin's notion of an overlap algebra, although classically equivalent to that of a complete Boolean alge...

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Bibliographic Details
Main Authors: Francesco Ciraulo, Michele Contente
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2020-02-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/5417/pdf