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Results tagged with coq
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user 12481
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.
11
votes
How true are theorems proved by Coq?
In an internet post Pollack discusses Coq coercions:
The problem is that Coq coercions are informally specified and behave
somewhat unpredictably. … It is in Coq. Let me be more clear: a bug in the kernel of Coq
Inconsistency bugs appear more common, Preliminary compilation of critical bugs in stable releases of Coq. …
- 25.4k
1
vote
How true are theorems proved by Coq?
Taken from the question How bad is Coq proving both $T$ and $\lnot T$?
Back in 2011 on the coq-club mailing list there was a thread:
Is the Daniel Schepler's inconsistency real?. … Proving $T$ and $\lnot T$ doesn't lead to proof of $False$,
with a Coq error. …
- 25.4k