Pretty basic questions. Modal logics serve to formalize such notions as 
'agent knows that...', 'agent believes that...'. So the question is about 
representation of modalities in the Atomspace and this question has been 
already discussed here (result is that special predicates can be used for 
expression of modal statements). Regarding the content of the knowledge 
(everyting that sits under the modal operators) - this content can be more 
or less any logic - propositional logic, predicate logic, modal logic (then 
we have nested and mixed modalities), action logic and so on - universal 
logic (there are good Springer journal of book series Logica Universalis).

And there is other question - what agent can do with her knowledge, how 
agent knows that she knows something and whether her knowledge is 
sufficient or should she need to create goal "go out and seek for more 
knowledge". Such perspective leads use to the question "what is 
understanding", "what are tests for understanding", "how we can measure 
understanding", "what is meaning". Those questions are more or less 
answered in https://link.springer.com/chapter/10.1007%2F978-3-319-41649-6_11

BTW - there are Artificial General Intelligence conference series (LNCS) 
and de Gryter Journal of Artificial General Intelligence.

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