Is it possible to get a bdd for (x0 ∧ x1 ) ∨ (x0 ∧!x1 ) ∨ (!x0 ∧ x1 ) ∨ (!x 0 ∧!x 1 ) that still has nodes representing the variables x0 and x1, using CUDD? I know the above boolean formula simplifies to the constant function 1. But I still want a BDD that doesnt simplify the formula but represents it as a BDD 'containing' nodes corresponding to both x0 and x1. If not in CUDD, is it possible to do so using some other tool?
Well, this may not be the useful answer but if you use ZDDs (also called 0-sup-BDDs) and you represent constant 1, you will get a graph with all variables - different reduction rule is used. I have generated it by some other tool but CUDD also supports ZDDs.