We give a completeness theorem for a logic with probability quantifiers which is equivalent to the logics described in a recent survey paper of Keisler [K]. This result improves on the completeness ...

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 ...

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 ...

Abstract: Logical reasoning of text requires neural models to possess strong contextual comprehension and logical reasoning ability to draw conclusions from limited information. To improve the logical ...

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 ...

This assignment aims to introduce you to the logic of quantifiers, also known as first-order logic. This is a formal system that allows us to represent (and reason about) objects and their properties.