Fatal Heyting Algebras and Forcing Persistent Sentences
Leo Esakia, Benedikt Löwe · Studia Logica · 2012
Abstract Hamkins and Löwe proved that the modal logic of forcing isS4.2. In this paper, we consider its modal companion, the intermediate logicKCand relate it to the fatal Heyting algebraHof forcing persistent sentences. This Heyting algebra is equationally generic for the class of fatal Heyting algebras. Motivated by these results, we further analyse the class of fatal Heyting algebras.