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Lecture Notes in Computer Science
The exponential modality of linear logic associates a commutative comonoid !A to every formula A in order to duplicate it. Here, we explain how to compute the free commutative comonoid !A as a sequential limit of equalizers in any symmetric monoidal category where this sequential limit exists and commutes with the tensor product. We then apply this general recipe to two familiar models of linear logic, based on coherence spaces and on Conway games. This algebraic approach enables to unify fordoi:10.1007/978-3-642-02930-1_21 fatcat:ld3cgburhbfftdhkp2fce6hiqu