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Lawvere Theories for Nominal Equational Logic

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Lawvere Theories are a categorical formulation of equational logic, identifying equational theories with categories equipped with finite products. This talk, based on work with Andrew Pitts, will look at an analogous formulation for Nominal Equational Logic. This is a logic of equations modulo side conditions concerning the freshness of names, an important concept in computer science. If categories need to have finite products to stand in for theories of equational logic, what extra structure is needed for Nominal Equational Logic?

This talk is part of the Category Theory Seminar series.

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