PP-2011-35: Esakia, Leo and Löwe, Benedikt (2011) Fatal Heyting Algebras and Forcing Persistent Sentences. [Report]
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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.
| Item Type: | Report |
|---|---|
| Report Nr: | PP-2011-35 |
| Series Name: | Prepublication (PP) Series |
| Year: | 2011 |
| Uncontrolled Keywords: | modal logic of forcing, fatal Heyting algebras, intermediate logics |
| Subjects: | Logic |
| Depositing User: | Benedikt |
| Date Deposited: | 12 Oct 2016 14:37 |
| Last Modified: | 12 Oct 2016 14:37 |
| URI: | https://eprints.illc.uva.nl/id/eprint/439 |
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