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 ...

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 ...

A (normal) system of propositional modal logic is said to be complete iff it is characterized by a class of (Kripke) frames. When we move to modal predicate logic the question of completeness can ...

We show a model construction for a system of higher-order illative combinatory logic Jѡ, thus establishing its strong consistency. We also use a variant of this construction to provide a complete ...

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 ...