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 We consider valued fields with a distinguished isometry or contractive derivation as valued modules over the Ore ring of difference operators.

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 ...

Logic and geometric representations constitute an interdisciplinary framework that merges formal logical systems with spatial and diagrammatic structures. This field encompasses the study of classical ...