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Escrows are optics

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arxiv 2105.10028 v3 pith:MXQSFUZO submitted 2021-05-20 math.CT

Fabrizio Genovese , Fosco Loregian , Daniele Palombi This is my paper
classification math.CT
keywords categoryescrowsopticstheyaction-likeagentsbasebuyer
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We provide a categorical interpretation for escrows, i.e. trading protocols in trustless environment, where the exchange between two agents is mediated by a third party where the buyer locks the money until they receive the goods they want from the seller. A simplified escrow system can be modeled as a certain kind of morphism in the category of optics on a monoidal category. When objects in the base category have monoid and comonoid structures, more involved kinds of escrows `with intermediaries' can be modelled as morphisms with action-like properties.

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