Timeless Games

Abstract Two models of classical linear logic are set up. First our recent version of AJM games model which will be our source model. Then the target model, polarized pointed relations, a variant of the plain relational model which is constructed in two steps: first the model of pointed relations, then the additional polarization structure which yields a proper duality. Then the natural time-forgetting map is shown to generate a lax functor from the source to the target. Finally a further refinement of the target model using bipolarities is sketched, giving a closer link with the games model for the interpretation of syntax. Thus a bridge is constructed that goes from a dynamic model to a static model of evaluation.

Authors

• Patrick Baillot
• Vincent Danos
• Thomas Ehrhard
• Laurent Regnier

Keywords

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