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 ...

We say that an n-argument predicate $P\subset \Omega ^{n}$ is finite, if P is a finite set. Note that the set of individuals Ω is infinite! Finite predicates are ...

We show a model construction for a system of higher-order illative combinatory logic Jѡ, thus establishing its strong consistency. We also use a variant of this construction to provide a complete ...