The backbone of this seminar will be first-order predicate logic. We presuppose that participants in the seminar have a basic knowledge of symbolic logic.

In this paper, we first formulate phase semantics for proof-terms of second-order intuitionistic propositional logic by modifying TaitGirard's saturated sets method. Next, we prove the completeness ...

As an application of our semantics, the first order conservativity of linear logic is studied over its polarized fragment of Laurent [16]. Using a counter model construction, the extension of this ...