Interactive Tutorial of the Sequent Calculus by Edward Z. Yang.

This interactive tutorial will teach you how to use the sequent calculus, a simple set of rules with which you can use to show the truth of statements in first order logic. It is geared towards anyone with some background in writing software for computers, with knowledge of basic boolean logic. ...

Proving theorems is not for the mathematicians anymore: with theorem provers, it's now a job for the hacker. â€” Martin Rinard ...

A common complaint with a formal systems like the sequent calculus is the "I clicked around and managed to prove this, but I'm not really sure what happened!" This is what Martin means by the hacker mentality: it is now possible for people to prove things, even when they don't know what they're doing. The computer will ensure that, in the end, they will have gotten it right.

The tool behind this nice tutorial is Logitext.

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