We give a completeness theorem for a logic with probability quantifiers which is equivalent to the logics described in a recent survey paper of Keisler [K]. This result improves on the completeness ...

We solve a problem of Friedman by showing the existence of a logic stronger than first-order logic even for countable models, but still satisfying the general compactness theorem, assuming e.g. the ...

The study of monadic algebraic structures and fuzzy logic has evolved into a vibrant research area that bridges abstract algebra with the nuanced reasoning of uncertainty. By incorporating unary ...