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MELL in a free compact closure

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The categorical presentation of the standard model of the geometry of interaction—namely the free compact closure of sets and partial injections—fails to be a denotational semantics of MELL . The work of Melliès, Tabareau & Tasson on the formula for a free exponential modality gives us insights into the reasons of this failure: absence of free pointed objects, absence of equalizers of some groups of permutations… We will present generic constructions which add the algebraic structure needed to compute this formula, and show that the free compact closure of stable domains wrapped in these successive layers defines a denotational semantics of MELL .

This talk is part of the Logic and Semantics Seminar (Computer Laboratory) series.

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