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From Reversible Programs to Univalent Universes...
Journal article

From Reversible Programs to Univalent Universes and Back

Abstract

We establish a close connection between a reversible programming language based on type isomorphisms and a formally presented univalent universe. The correspondence relates combinators witnessing type isomorphisms in the programming language to paths in the univalent universe; and combinator optimizations in the programming language to 2-paths in the univalent universe. The result suggests a simple computational interpretation of paths and of …

Authors

Carette J; Chen C-H; Choudhury V; Sabry A

Journal

Electronic Notes in Theoretical Computer Science, Vol. 336, , pp. 5–25

Publisher

Elsevier

Publication Date

April 2018

DOI

10.1016/j.entcs.2018.03.013

ISSN

1571-0661