For small categories over a fixed object set, cohomology can be computed via direction functors on S-special morphisms, matching Hoff and Golasinski cohomology in every degree.
Bourn,The tower ofn-groupoids and the long cohomology sequence, Journal of Pure and Applied Algebra, 62 (1989), 137-183
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A direction functor approach to the cohomology of small categories
For small categories over a fixed object set, cohomology can be computed via direction functors on S-special morphisms, matching Hoff and Golasinski cohomology in every degree.