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The Lean Theorem Prover

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BPR - Big proof

Lean is a new, open source, interactive theorem prover designed to support mathematical reasoning as well as hardware and software verification. Because its logical foundation, dependent type theory, has a computational interpretation, we can use Lean as a programming language and evaluate expressions with a fast bytecode evaluator. We obtain a metaprogramming language—that is, a language that we can use to construct expressions and proofs in dependent type theory itself—by exposing Lean internals through a suitable API . This provides us with a means of extending Lean's functionality and automation within Lean itself. In this talk, I will describe this metaprogramming framework and some of its mechanisms for manipulating expressions efficiently.

This talk is part of the Isaac Newton Institute Seminar Series series.

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