%0 Journal Article %T Nominal Unification Revisited %A Christian Urban %J Electronic Proceedings in Theoretical Computer Science %D 2010 %I Open Publishing Association %R 10.4204/eptcs.42.1 %X Nominal unification calculates substitutions that make terms involving binders equal modulo alpha-equivalence. Although nominal unification can be seen as equivalent to Miller's higher-order pattern unification, it has properties, such as the use of first-order terms with names (as opposed to alpha-equivalence classes) and that no new names need to be generated during unification, which set it clearly apart from higher-order pattern unification. The purpose of this paper is to simplify a clunky proof from the original paper on nominal unification and to give an overview over some results about nominal unification. %U http://arxiv.org/pdf/1012.4890v1