We'd like to announce the availability of the following preprint at the website <www.math.mcgill.ca/rags/> Polarized category theory, modules, and game semantics by J.R.B. Cockett and R.A.G. Seely ABSTRACT Motivated by an analysis of Abramsky-Jagadeesan games, the paper considers a categorical semantics for a polarized notion of two-player games, a semantics which has close connections with the logic of (finite cartesian) sums and products, as well as with the multiplicative structure of linear logic. In each case, the structure is polarized, in the sense that it will be modelled by two categories, one for each of two polarities, with a module structure connecting them. These are studied in considerable detail, and a comparison is made with a different notion of polarization due to Olivier Laurent: there is an adjoint connection between the two notions. ------------ We would point out (for readers interested in Type Theory) that this paper gives a variant presentation of polarized linear logic (a presentation that emphasizes slightly different aspects than Laurent's presentation, and results in a subtly different version of polarized linear logic), and provides a general semantics of that logic. The emphasis comes from the origins in Abramsky-Jagadeesan games, rather than the Hyland-Ong games that underly the intuitions in Laurent's approach. The result is a comprehensive analysis of the structure of the polarized logic, including making explicit aspects which are implicit in Laurent's approach (such as, for example, focalization). One of the novel constructions our approach permits is what we call "de-polarization": the construction of an unpolarized model from a polarized one. We also describe three families of additive connectives, which have somewhat different properties (and different polarities). -- <rags@math.mcgill.ca> <www.math.mcgill.ca/rags> 31-Oct-2004 17:19:59 -0400,3043;000000000000-00000000