Game semantics for first-order logic
arXiv:1009.4400 · doi:10.2168/LMCS-6(4:3)2010
Abstract
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.