PP-2011-35: Fatal Heyting Algebras and Forcing Persistent Sentences

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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