Formal Methods in Mathematics

In January 2020, I attended Formal Methods in Mathematics / Lean Together 2020

Formal Mathematics, broadly, is the process of documenting mathematics including but not limited to definitions, theorems, proofs, algorithms in a manner that their correctness can be verified by a computer. One of the primary purpose of doing this is to gain confidence in the correctness of proofs. We also believe that in the near future formal mathematics would help mathematicians use computers in their quest for finding proofs.

This is a topic I have been interested for a while now. Ask me anything!

#ComputerScience

Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

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Markdown	Appears as
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`bold` or `__bold__`	bold
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1. numbered 2. list	numbered list
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Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

Can you show an example of how it is done?

Adhiraj Dutta - 1 year, 1 month ago

It looks like this. In the linked tutorial, they prove some basic properties about real numbers.

You can also try out this game which teaches some of the features of this system step-by-step.

Does this help?

Agnishom Chattopadhyay - 1 year, 1 month ago

The game was certainly fun.

Adhiraj Dutta - 1 year, 1 month ago

@Adhiraj Dutta – I am glad you think so. If you enjoy this, there are various other things you can do: including proving some of these for fun, or contributing to the lean mathlib

Agnishom Chattopadhyay - 1 year, 1 month ago

@Agnishom Chattopadhyay – Would certainly check them out, thanks!

Adhiraj Dutta - 1 year, 1 month ago

The link is broken.

Rishabh Deep Singh - 1 year, 1 month ago

@Rishabh Deep Singh – Check out this link. Looks like they have updated some things.

Agnishom Chattopadhyay - 1 year, 1 month ago

Sounds nice

Emma Snow - 1 year, 1 month ago

Yes! Proof Assistants convert the process of writing mathematical proofs into a computer game, in a way. I'd be happy to talk more about this in the comments if you are interested.

Agnishom Chattopadhyay - 1 year, 1 month ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$