goto https://pyeda.readthedocs.io/en/latest/index.html
click lines on the left panel on the page shown above:
“Boolean algebra”, “binary decision diagram”, “Boolean expressions”
where you can find sampel code for creating boolean formulas, convert them to bdds, and perform operations on them
(and, or , negation, testing for satisfiability, changing variable names (.compose() method), etc.)
in particular .smoothing() is for quantifier elimination (you need search for the syntax of it. How to search? fill out the search box on the left panel of the link shown above).
these should be almost enough for completing the project.
All details can be found in PDF.
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