Game semantics for first-order logic

Autor: Laurent, Olivier
Rok vydání: 2010
Předmět:
Zdroj: Logical Methods in Computer Science, Volume 6, Issue 4 (October 20, 2010) lmcs:1130
Druh dokumentu: Working Paper
DOI: 10.2168/LMCS-6(4:3)2010
Popis: 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.
Databáze: arXiv