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We aim at a holistic perspective on program logics, including Hoare andincorrectness logics. To this end, we study different classes of propertiesarising from the generalization of the aforementioned logics. We compare ourresults with the properties expressible in the language of Kleene algebra withtop and tests.

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