People ask me (out-of-line) references for the Löbian interview, or
the arithmetical UDA (AUDA).
I remember that Guenther put some references in the web archive. Here
is the link:
Chellas' book is quite good to learn modal logic, including logic
without necessitation rules.
Since then, the classical 1952 book by Stephen Cole Kleene
"Introduction to Metamathematics" has been republished by Ishi press
in a paperback edition:
It is, in my opinion and taste, one of the best introductory book to
mathematical logic (just a bit old and slightly heavy in its notations
perhaps). I learned logic in that book.
Have a good day,
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