Predicate Logic: Introduction & Equivalences

This lecture introduces predicate logic, covering topics such as defining variables, predicates, and universes, as well as quantifiers. The instructor explains how to determine the validity and satisfiability of statements in predicate logic. The lecture also includes examples of translating natural language sentences into predicate logic and discusses the rules for nesting quantifiers. Furthermore, the lecture explores logical equivalences, including De Morgan's law for predicate logic, and demonstrates how to prove equivalences in predicate logic. The session concludes with a discussion on translating natural language statements into predicate logic.