How to make a generator of simple but different types of puzzles?

Question

IT education

How and with what can different types of simple puzzles (problems) be generated to determine the initial knowledge in mathematics or logic?
Interested in the principle and logic of the approach to create such a generator.

Answer 1

The question is solved with the help of Boolean algebra and "tree" generation of various problems.

Answer 2

Um, well, you can generate examples in mathematics using Markov chains, for example.

Answer 3

There are usually 2 approaches:

• generated on the basis of logic foundations (a person invents logic)
  
• a fixed set of tasks invented by a person separately
  

as a rule, both options are also validated in the focus group. So either we come up with an algorithm, or we refuse to generate