Theorem prover Arend
This paper is an exposition of the theorem prover Arend developed at JetBrains Research. Arend language has been designed to facilitate the formalization of mathematics within the framework of univalent foundations and with the focus on constructive mathematics. It is based on a variant of homotopy type theory with cubical syntax that is more closely aligned with Martin-Löf Type Theory (MLTT) than fully computational cubical type theories, while still retaining some of their computational properties useful in practice. Among the most notable features of the Arend language is its powerful system of classes and records supporting subsumptive subtyping, partial implementations and anonymous ...
| Authors | Fedor Part, Valery Isaev, Sergey Sinchuk |
|---|---|
| Primary category | cs.LO |
| Published | 19 October 2026 |
| Last updated at source | 19 October 2026 |
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