Hoare-Like Triples and Kleene Algebras with Top and Tests: Towards a Holistic Perspective on Hoare Logic, Incorrectness Logic, and Beyond

We aim at a holistic perspective on program logics, including Hoare and incorrectness logics. To this end, we study different classes of properties arising from the generalization of the aforementioned logics. We compare our results with the properties expressible in the language of Kleene algebra with top and tests.