  In this note, we give an algorithm that starting with a Sullivan algebra
gives us its minimal model. This algorithm is a kind of modified AT-model
algorithm used to compute in the past other kinds of topology information such
as (co)homology, cup products on cohomology and persistent homology. Taking as
input a (non-minimal) Sullivan algebra $A$ with an ordered finite set of
generators preserving the filtration defined on $A$, we obtain as output a
minimal Sullivan algebra with the same rational cohomology as $A$.
