Werner Becker MPE Title: Pulsars - cosmic beacons seen by ROSAT Abstract: Neutron stars are among the most fascinating astronomical objects in the universe. Born in the imploding core of a supernova, they provide a unique class of stellar objects with properties that make them nearly ideal probes for investigating a wide variety of physical problems. Currently, nearly 800 neutron stars are known as rotation-powered pulsars. In the course of the ROSAT and ASCA mission, about 10\% of them have been observed in detailed pointed observations, leading to the detection of pulsed X-ray emission from 15 of them while 18 more pulsars are identified only by positional coincidence with a radio pulsar. One primary goal addressed with ROSAT was to search for thermal X-ray emission from cooling neutron stars. The close link between the thermal evolution of neutron stars and the physical characteristics of neutron star material at super-nuclear densities provides an important starting point for the empirical study of matter at extreme energies and baryon densities. Comparing the neutron star temperatures and temperature upper limits measured by ROSAT with the theoretical predictions based on different equations of state thus provides the empirical basis essential for the verification of neutron star models and cooling theories.