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 ...

This is a preview. Log in through your library . Abstract This paper studies the expressive power that an extra first order quantifier adds to a fragment of monadic second order logic, extending the ...

Most ordinary people know little about the calculus, statistics, linear algebra, logic, and programming languages required to design projects and products to leverage artificial intelligence. However, ...