Free resolutions of Artinian compressed algebras

We construct free resolutions of compressed (therefore, generic) Artinian graded algebra quotients of polynomial rings and give a method to reduce them to a minimal resolutions. This yields results on the form of the resolution and the degrees of the forms in the matrices of the differentials, but not precise Betti numbers. In addition, we discuss how this construction is related to a conjecture of Boij. Last, we treat the noncompressed case.