%0 Journal Article %T Making simple proofs simpler %A Pietro Codara %A Ottavio M. D'Antona %A Francesco Marigo %A Corrado Monti %J Computer Science %D 2013 %I arXiv %X An open partition \pi{} [Cod09a, Cod09b] of a tree T is a partition of the vertices of T with the property that, for each block B of \pi, the upset of B is a union of blocks of \pi. This paper deals with the number, NP(n), of open partitions of the tree, V_n, made of two chains with n points each, that share the root. %U http://arxiv.org/abs/1307.1348v1