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I want to verify, that one boolean expression is mathematically equivalent to another.

Let's say, we have 3 boolean variables: a, b, c. The expression X = ((a || b) && !c). Then I rewrite some code, and it turns out, that Y = !(((!a && !b) || c) && true).

My questions:

  • Is there a possibility to verify on the fly, that expressions X and Y are the same for all input?
  • Is there a possibility to compact the expressions, so that Y gets simplified?
  • I want to see the truth table for X, Y with inputs a, b, c.

Disclaimer: I know, that i can write a program for different inputs of the variables and the output of X and Y. I thought more of a syntax parser, that might probably also parse other variables (e.g. n<100) instead of just a, so that I can paste code of if-statements as input.

Greetings and thanks for your thoughts!

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