JSTOR Daily

First Order Quantifiers in Monadic Second Order Logic

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 ...
JSTOR Daily

Generalized Quantifiers and Compact Logic

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 ...
University of Vermont

Predicate logic

Predicate logic is an extension of propositional logic. Here we consider what is called first-order predicate logic, abbreviated FOL (sometimes abbreviated PL1, not to be confused with the programming ...
Nature

Logic and Geometric Representations

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 ...
University of East Anglia

Ranks in positive logic (KIRBYJ2_U26EMP)

Model theory is traditionally done with “classical first-order logic”, the logic which allows unlimited use of the operators AND, OR, NOT, with the EXISTS and FOR ALL quantifiers. More recently, ...
Nature

Mathematics: Logic and Lewis Carroll

In 1855, Charles L. Dodgson became the mathematical lecturer at Christ Church College in the University of Oxford, UK. His job was to prepare Christ Church men (for it was all men) to pass ...