Mini-Workshop: The Homotopy Interpretation of Constructive Type Theory

Steve Awodey, Richard Garner, Per Martin-Löf, Vladimir Voevodsky
2011 Oberwolfach Reports  
Over the past few years it has become apparent that there is a surprising and deep connection between constructive logic and higherdimensional structures in algebraic topology and category theory, in the form of an interpretation of the dependent type theory of Per Martin-Löf into classical homotopy theory. The interpretation results in a bridge between the worlds of constructive and classical mathematics which promises to shed new light on both. This mini-workshop brought together researchers
more » ... gether researchers in logic, topology, and cognate fields in order to explore both theoretical and practical ramifications of this discovery.
doi:10.4171/owr/2011/11 fatcat:endpejs7fndldaiudccrxcdgka