Catalog description: Introduction to deductive logic. Topics include: basic concepts of deductive logic; techniques of formal proof in propositional and predicate logic. 3 units. Prerequisites: No ...

In recent years combinations of tense and modality have moved intothe focus of logical research. From a philosophical point of view, logical systems combining tense and modality are of interest ...

Modal logic, an extension of classical logic, investigates the modes of truth such as necessity and possibility. Its development has been closely intertwined with advances in proof theory, a field ...

We consider extending the modal logic KD45, commonly taken as the baseline system for belief, with propositional quantifiers that can be used to formalize natural language sentences such as ...

Description: Propositional and predicate calculus; the Godel completeness and compactness theorems; primitive recursive and recursive functions; the Godel incompleteness theorem; Tarski's theorem; ...

This module introduces the foundations of logic in computer science. The first part introduces the syntax and semantics of propositional and predicate logics, natural deduction, and notions such as ...

Description: Formal theories for propositional and predicate calculus with study of models, completeness, compactness. Formalization of elementary number theory; Turing machines, halting problem, and ...