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A highly typed language we can prove things in

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twitchcoq

Reimplementing a subset of Coq in Python

random notes

First order logic:

Theorem test : exists x : nat, x + 2 = 4.
Theorem test2 : forall y : nat, (exists x : nat, x = y).

Second order logic (quantifing over first order logic statements):

forall y : (fun x : nat -> nat)

Higher order logic...so on and so forth

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A highly typed language we can prove things in

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  • Coq 54.1%
  • GAP 34.1%
  • Python 11.0%
  • Shell 0.8%