Typed Gol for exponentials

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Abstract

In a recent paper we introduced a typed version of Geometry of Interaction, called the Multi-object Geometry of Interaction (MGoI). Using this framework we gave an interpretation for the unit-free multiplicative fragment of linear logic. In this paper, we extend our work to cover the exponentials. We introduce the notion of a Gol Category that embodies the necessary ingredients for an MGoI interpretation for unit-free multiplicative and exponential linear logic. © Springer-Verlag Berlin Heidelberg 2006.

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Haghverdi, E. (2006). Typed Gol for exponentials. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4052 LNCS, pp. 384–395). Springer Verlag. https://doi.org/10.1007/11787006_33

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