McTT: A Verified Kernel for a Proof Assistant

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McTT demonstrates a verified kernel for Martin-Löf type theory in the Rocq framework, highlighting its potential for type-checking.

McTT provides a verified implementation of a kernel for core Martin-Löf type theory, enhancing trust in proof assistants.
The theoretical component proves key theorems like normalization and consistency using an untyped domain model.
Algorithmically, McTT connects the declarative specification of typing with a functional implementation in OCaml.
The project enables exploration of advanced type theories and optimizations of the type-checking kernel.

Jang et al. (2025) studied this question.

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