Mario Alvarez-Picallo invited talk at University of Bath
On Tuesday 27th October at 1:15pm (UK time), Mario Alvarez-Picallo, The Difference Lambda Calculus
Abstract: Cartesian difference categories are a recent generalisation of Cartesian differential categories which introduce a notion of “infinitesimal” arrows satisfying an analogue of the Kock-Lawvere axiom, with the axioms of a Cartesian differential category being satisfied only “up to an infinitesimal perturbation”. We present here a simply-typed calculus in the spirit of the differential λ-calculus equipped with syntactic “infinitesimals”, which provides us with a syntactic account of difference categories as well as, surprisingly, a minimalistic model for forward-mode Automatic Differentiation.
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