Has the concept of using a hand checked simple theorem prover to validate more complex theorem provers been explored before?

cs.stackexchange https://cs.stackexchange.com/questions/93792

  •  05-11-2019
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문제

More specifically, has anyone used a chain of theorem provers to validate a highly evolved theorem prover, starting with a very simple hand checked prover such that each new theorem prover is used to validate a somewhat more complex theorem prover, rinse repeat?

This would be something along the lines of induction, I guess. In that you'd have just as much confidence in the complex prover at the end as the hand checked prover you started with.

If it has been explored (wouldn't be surprised), a pointer towards more resources would be welcome.

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