The scope of these proceedings is the study, research, and development in the new frontier of science dealing with the paradigm of computing anticipatory systems. A computing anticipatory system is a system which computes its current states in taking into account its anticipatory states. Strong anticipation refers to an anticipation of events built by or embedded in a system. Weak anticipation refers to an anticipation of events predicted or forecast from a model of a system. These proceedings include all the papers by invited speakers who received awards at CASYS"03 as well as a selection of invited papers. Topics include: relativity, quantum mechanics and biophysical systems; anticipatory systems, adaptation and hyperincursion; mathematical models, chaos and soft computing; logic, algorithms and computing systems; living systems, evolution and cognitive models; decision support, enterprise and management models and control systems, simulation and chaos.