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Results tagged with coq
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user 4177
Coq is a formal proof management system, also called an interactive theorem prover. It is used to express mathematical assertions, mechanically check proofs of these assertions, find formal proofs, and extract certified programs.
3
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How true are theorems proved by Coq?
There is a comment in Wikipedia that Martin-Löf type theory with arbitrarily many finite level universes has proof-theoretic ordinal the Feferman-Schütte ordinal $\Gamma_0$. There is no obvious refere …
- 35.5k
6
votes
How true are theorems proved by Coq?
I just learned about the part of the Coq FAQ titled What do I have to trust when I see a proof checked by Coq?. … The Coq kernel implementation: You have to trust that the implementation of the Coq kernel mirrors the theory behind Coq. …
- 35.5k