This week we discuss the completeness theorem for the propositional calculus. Details can be found in this handout. You should also read Lemmon Chapter 4 during the next two weeks ...

A propositional system of modal logic is second-order if it contains quantifiers ∀p and ∃p, which, in the standard interpretation, are construed as ranging over sets of possible worlds (propositions).

We investigate uniform interpolants in propositional modal logics from the proof-theoretical point of view. Our approach is adopted from Pitts' proof of uniform interpolation in intuitionistic ...

Tues, Oct 16 Lecture: Philosophical issues in propositional logic Reading: None Thurs, Oct 18 Lecture: 'All' and 'Some' Reading: L 92-102 Due: Assignment #5 Tues, Oct 23 Lecture: The Universal ...

Boolean algebra, and other forms of abstract propositional logic, are based on dealing with compound propositions made up of simple propositions joined by logical connectors like "and", "or", and ...

The course begins with taking a look at the big picture: the main problems and milestones of modern logic. Then, after a quick review of classical propositional and first-order predicate logic, the ...

Propositional Logic ¶ to be concrete, we will focus on propositional logic you should already know about this from programming, and discrete math but lets quickly review it … here is an example ...