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arXiv · 1009.4400

Game semantics for first-order logic

Olivier Laurent
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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.

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Olivier Laurent. 2010-10-20. Game semantics for first-order logic. https://doi.org/10.2168/lmcs-6(4%3A3)2010

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