  For a Cohen-Macaulay ring $R$, we exhibit the equivalence of the bounded
derived categories of certain resolving subcategories, which, amongst other
results, yields an equivalence of the bounded derived category of finite length
and finite projective dimension modules with the bounded derived category of
projective modules with finite length homologies. This yields isomorphisms of
various generalized cohomology groups (like K-theory) and improves on terms of
a spectral sequence and Gersten complexes.
