[SydPhil] Notification: Carles Noguera (Czech Academy of Sciences, Prague) @ Thu 8 Nov 2018 15:00 - 16:30 (AEDT) (Current Projects)

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Title: Carles Noguera (Czech Academy of Sciences, Prague)
Title: General Neighborhood and Kripke Semantics for Modal Many-Valued  
Logics

Abstract: Frame semantics, given by Kripke or neighborhood frames, do not  
give completeness theorems for all modal logics extending, respectively, K  
and E. Such shortcoming can be overcome by means of general frames, i.e.  
frames equipped with a collection of admissible sets of worlds (which is  
the range of possible valuations over such frame). We export this approach  
from the classical paradigm to modal many-valued logics by defining general  
A-frames over a given residuated lattice A (i.e., the usual frames with a  
collection of admissible A-valued sets). We describe in details the  
relation between general Kripke and neighborhood A-frames and prove that,  
if the logic of A is finitary, all extensions of the corresponding logic E  
of A are complete w.r.t. general neighborhood frames. Our work provides a  
new approach to the current research trend of generalizing relational  
semantics for non-classical modal logics to circumvent axiomatization  
problems.
When: Thu 8 Nov 2018 15:00 – 16:30 Eastern Australia Time - Sydney
Calendar: Current Projects
Who:
     * Kristie Miller- creator

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