@techreport{TR-IC-04-04, number = {IC-04-04}, author = {Vinicius José Fortuna and João Meidanis}, title = {Sorting the Reverse Permutation by Prefix Transpositions}, month = {April}, year = {2004}, institution = {Institute of Computing, University of Campinas}, note = {In English, 20 pages. \par\selectlanguage{english}\textbf{Abstract} Dias and Meidanis present, without a proof, an algorithm to sort the reverse permutation $R_n = [n,n-1,\ldots,1]$ by prefix transpositions. In this report we present a new algorithm based on the previous one and show a complete formal proof of its correctness. From this result we establish a new proved upper bound of $n-\lfloor n/4\rfloor$ for the prefix transposition distance of $R_n$. } }