Topological Observations on Multiplicative Additive Linear Logic
  As an attempt to uncover the topological nature of composition of strategies in game semantics, we present a ``topological'' game for Multiplicative Additive Linear Logic without propositional variables, including cut moves. We recast the notion of (winning) strategy and the question of cut elimination in this context, and prove a cut elimination theorem. Finally, we prove soundness and completeness. The topology plays a crucial role, in particular through the fact that strategies form a sheaf. 
Andr\'e Hirschowitz (JAD), Michel Hirschowitz (LIX, LIST), Tom   Hirschowitz (LM-Savoie)