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$\begingroup$ I feel your answer mixes up the proof assistant language and the metalanguage that the proof assistant is written in. For type-theory-based PAs I agree there is a lot of similarities of design between the PA language and functional programming, and there is a tight connection between type theory, functional programming, and proofs. But I think the OP is asking about the metalanguage, not the language of the proof assistant. (Also, the CH isomorphism might be a bit of a misdirection. For example, HOL-Light also looks like functional programming but doesn’t use the CH isomorphism.) $\endgroup$
– Jason Rute
Commented Feb 16 at 19:05
$\begingroup$ I understand your point, but my question is that can I provide the same environment in an OOP language as well? because I want to develop an application that has PA as a part (not the whole) therefore it would be nice to be able to benefit from OOP structures as well. $\endgroup$
– Kid A
Commented Feb 17 at 12:18
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$\begingroup$ "So it's not that proof assistant designers were like Let's design a programming language for our proof assistant." Well, actually, that's historically exactly what happened. Plus logic isn't Turing Complete, so it can't be a programming language... $\endgroup$
– Alex Nelson
Commented Feb 21 at 2:52

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