Logic, the foundation of reasoning and computation, often involves complex arguments and formulas. Determining the validity of these arguments and the consistency of these formulas can be challenging.

This is a preview. Log in through your library . Journal Information The Journal of Symbolic Logic (JSL) was founded in 1936 and it has become the leading research journal in the field. It is issued ...

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 ...

We first extend Quine's method of eliminating the bound variables to first-order predicate logic with operation symbols ; then we give a device for eliminating also the free variables ; and finally we ...

Abstract: We study predicate logic that is interpreted in Kripke models similarly to intuitionistic logic except that the accessibility relation of each model is not necessarily reflexive. Unlike in ...

Historically, it was initially a formalization of mathematical language and reasoning, proposed by G. Frege between the end of the 19th and the beginning of the 20th century, and "popularized" by B.

Logic is among the oldest and most foundational of the university disciplines. The goal is to equip students with most general possible framework for sound and rigorous reasoning — one that works ...