  In this work, we compute the $0$th cohomology group of a complex of groups of
cobordism-framed correspondences, and prove the isomorphism to Milnor
$K$-groups. An analogous result for common framed correspondences has been
proved by A. Neshitov in his paper "Framed correspondences and the
Milnor---Witt $K$-theory".
  Neshitov's result is, at the same time, a computation of the homotopy groups
$\pi_{i,i}(S^0)(Spec(k)).$ This work could be used in the future as basis for
computing homotopy groups $\pi_{i,i}(MGL_{\bullet})(Spec(k))$ of the spectrum
$MGL_{\bullet}.$
