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A proof assistant is software used for creating and checking formal proofs; examples include Coq and HOL. This tag is not to be used for requesting assistance on finding proofs. General questions about proof assistants can also be asked on the Proof Assistants Stack Exchange site.
4
votes
Accepted
Proof formalization
In general, "formalising mathematical vernacular" is a good source for work relevant to your question. The field generally started in earnest with de Bruijn's Automath project.
Harvey Friedman has do …
12
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Why is it so difficult to write complete (computer verifiable) proofs?
Well, it was agony to come up with the original Jordan curve theorem...
Informal proofs make a lot of gestures at expert knowledge to avoid spelling out the mechanics of the less interesting steps in …
4
votes
How do they verify a verifier of formalized proofs?
The key point is the idea of the kernel of a theorem prover, as Adam mentioned. To put it another way the kernel is the smallest subset of the theorem prover's code base (and operating system and mac …