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Free Commutative Monoids in Homotopy Type Theory

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https://us02web.zoom.us/j/177472153?pwd=MFgwd0EzY05QSGtpSDc2dU16aG9wdz09

In this talk, I will discuss various presentations of finite multisets as free commutative monoids using higher inductive types in HoTT, and prove their universal property. Using this, I will construct the relational model of linear logic, and further show its differential structure.

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

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