Dear friends, colleagues and Professors,


I write to inquire on the issue of interpreting the consistency operator °
as a modal one, either necessity or possibility.



1. Are there any works which, from the perspective of neighbourhood
semantics, treat it as necessity operator, i.e., °A means that [[A]]
belongs to N(w)?



2. Are there any works which, by another topological approach, treat °A as
necessity operator defined as the interior, i.e., [[°A]]= int[[A]]?



3. 2. Are there any works which, by another topological approach, treat °A
means the closure of [[A]]?


Please, feel free to write me any thoughts you might have on the issue.


Thank you very much.


Very best regards,


Tony Marmo
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