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Conference Papers Year : 2019

Realizability in the Unitary Sphere

Abstract

In this paper we present a semantics for a linear algebraic lambda-calculus based on realizability. This semantics characterizes a notion of unitarity in the system, answering a long standing issue. We derive from the semantics a set of typing rules for a simply-typed linear algebraic lambda-calculus, and show how it extends both to classical and quantum lambda-calculi.
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Dates and versions

hal-02175168 , version 1 (05-07-2019)

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Alejandro Díaz-Caro, Mauricio Guillermo, Alexandre Miquel, Benoît Valiron. Realizability in the Unitary Sphere. 34th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS 2019), Jun 2019, Vancouver, Canada. ⟨hal-02175168⟩
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