This volume contains all papers pres- ented at the Advanced International Workshop on Sequences: Combinatorics, Compression, and Transmission which was held Monday, June 6, through Saturday, June 11, 1988, at the Palazzo Serra di Cassano, Naples and at the Hotel Covo dei Saraceni, Positano, Italy. The workshop was sponsored by the Dipartimento di Informatica ed Applicazioni of the University of Salerno, by the Instituto Italiano per gli Studi Filosofici of Naples and the National Research Council of Italy (C.N.R.).