Cubical Type Theory
Computational interpretations of univalence.
Cubical Type Theory. Computational interpretations of univalence.
Recent technical contributions
A handful of recent papers carry the methodological frontier of cubical type theory forward. Cubical type theory: a constructive interpretation of the univalence axiom (Cohen et al., 2018) is a primary reference for this area and develops new techniques or results that downstream work builds on.
Open methodological questions for cubical type theory include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- paper · primary · 2018cohen-cyril-2018, coquand-2018, huber-2018, mortberg-2018
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