Polarized games
O. Laurent
Abstract
O. Laurent
Abstract
We generalize the intuitionistic Hyland-Ong games to a notion of polarized games allowing games with plays starting by proponent moves. The usual constructions on games are adjusted to fit this setting yielding a game model for polarized linear logic with a definability result. As a consequence this gives a complete game model for various classical systems: LC, /spl lambda//spl mu/-calculus,... for both call-by-name and call-by-value evaluations.
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We generalize the intuitionistic Hyland-Ong games to a notion of polarized games allowing games with plays starting by proponent moves. The usual constructions on games are adjusted to fit this setting yielding a game model for polarized linear logic with a definability result. As a consequence this gives a complete game model for various classical systems: LC, /spl lambda//spl mu/-calculus,... for both call-by-name and call-by-value evaluations.
Key concepts: Linear logic, Computer science, Lambda, Value (mathematics), Calculus (dental), Discrete mathematics, Algebra over a field, Mathematical economics