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 ...

We give a complete characterization of the class of upward monotone generalized quantifiers Q₁ and Q₃ over countable domains that satisfy the scheme $ Q_1 XQ_2 Y\emptyset \to Q_2 YQ_1 Q_1 X\emptyset $ ...

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 ...

Definiteness is an operator that referring to discourse and pragmatic situations. In a nutshell definiteness is a referent whose existence is commonly understood to both the speaker and the addressee.