Game semantics for first-order logic

We refine HO/N game semantics with an additional notion of pointer (mu-pointers) and extend it to first-order classical logic with completeness results. We use a Church style extension of Parigot's lambda-mu-calculus to represent proofs of first-order classical logic. We present some relations with Krivine's classical realizability and applications to type isomorphisms.

• Type: Journal
• Year: 2010
• Where: CORR
• Authors: Olivier Laurent
• Keywords: Additional Notion, Church Style Extension, CORR 2010, Education, First-order Classical Logic