Relations and graphs: discrete mathematics for computer scientists
Relations and graphs: discrete mathematics for computer scientists
Algebra of programming
Relational methods in computer science
Relational methods in computer science
Goguen Categories: A Categorical Approach to L-fuzzy Relations
Goguen Categories: A Categorical Approach to L-fuzzy Relations
Point axioms in dedekind categories
RAMiCS'12 Proceedings of the 13th international conference on Relational and Algebraic Methods in Computer Science
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It is known in topos theory that the axiom of choice implies that the topos is Boolean. In this paper we want to prove and generalize this result in the context of allegories. In particular, we will show that partial identities do have complements in distributive allegories with relational sums and total splittings assuming the axiom of choice. Furthermore, we will discuss possible modifications of the assumptions used in that theorem.