This article, the second in a series of three, deals with the classical logics which will give rise to mathematical logic at the end of the 19th century. The logic of propositions is first presented, ...

This is a first version of a lecture on propositional and predicate logic. The lecture notes are incomplete as of yet, but the goal is to add notes for one lecture every week.

natural deduction rules for propositional logic how to apply the rules for proving validity of sequents some properties of propositional logic connectives and how they can be proven using natural ...

In traditional propositional logic(PL), the atomic part of formulas are proposition symbols. In first-order logic(FL) the atomic part of formulas are terms, predicates are relations among terms, and ...

Definition (first-order predicate logic). First-order predicate logic or sentential logic or statement logic is a branch of logic that deals with quantified variables, so that rather than propositions ...

We investigate the relationship between recursive enumerability and elementary frame definability in first-order predicate modal logic. On one hand, it is well known that every first-order predicate ...

Effectively Propositional Logic (EPR), also known as the Bernays-Schoenfinkel class, allows encoding problems that are propositional in nature, but EPR encodings can be exponentially more succinct ...