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Probabilistic programming semantics for name generation

Prelegent(ci)
Marcin Sabok
Afiliacja
McGill University
Termin
3 marca 2021 16:15
Informacje na temat wydarzenia
Zoom
Seminarium
Seminarium „Topologia i teoria mnogości”

Abstract: I will discuss a recent result connecting the nu-calculus (which is an extension of simply-typed lambda calculus modelling the so-called "name generation") with a recent model for probabilistic programming, called the quasi-Borel spaces. There is a natural interpretation of the nu-calculus in quasi-Borel spaces and our main result says that this interpretation is fully abstract up to first-order types, which means that if two first-order terms are observationally equivalent, then the associated elements of quasi-Borel spaces are the same. This is joint work with Sam Staton, Dario Stein and Michael Wolman. In this talk, I will not assume any prior knowledge of lambda calculus or models of probabilistic programming.