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 ...

Cylindrical Algebraic Decomposition (CAD) is a pivotal algorithmic technique in real algebraic geometry, instrumental in resolving problems expressed in a first‐order language over the reals. By ...

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 ...