Fatal Heyting Algebras and Forcing Persistent Sentences

نویسندگان

  • Leo Esakia
  • Benedikt Löwe
چکیده

Hamkins and Löwe proved that the modal logic of forcing is S4.2. In this paper, we consider its modal companion, the intermediate logic KC and relate it to the fatal Heyting algebra HZFC of 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.

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عنوان ژورنال:
  • Studia Logica

دوره 100  شماره 

صفحات  -

تاریخ انتشار 2012