Fatal Heyting algebras and forcing persistent sentences

Open Access
Authors
Publication date 04-2012
Journal Studia Logica
Volume | Issue number 100 | 1-2
Pages (from-to) 163-173
Organisations
  • Interfacultary Research - Institute for Logic, Language and Computation (ILLC)
Abstract 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 H ZFC 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.
Document type Article
Note In: Special issue dedicated to the memory of Leo Esakia
Language English
Published at https://doi.org/10.1007/s11225-012-9393-z
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