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Generator of logical expressions with the ability to translate them to a given language. This algorithm can be used to generate methematical expressions.
Pretty cool, right?

1st place at HSE CS project contest among HSE lyceum students.

Examples

All the output is translated to LaTeX:

Basic Mathematical English
Basic Math EngNatural

Adjacent expressions are similar because the algorithm outputs the lines in lexigraphic order

Here are actually interesting generated "statements" (not all of them are true)

1. 2 is a prime number
2. Every number is prime
3. A prime number exists !
5. Every number is equal to itself
6. There exists a number that is equal to itself
7. Not all numbers are prime
8. Prime numbers don't exist