On a Universal Property of the Algebra of Contracts

Inigo Incer · Theory and applications of categories · 2024

We consider Stone algebras with a distinguished element e satisfying the identity e → x = ¬¬x for all elements x of the algebra.We provide an adjunction between the category of such algebras and that of Boolean algebras.This adjunction turns out to involve the concept of assume-guarantee contracts, which has numerous applications throughout engineering and computer science.

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