1. A computer program product for restoring an application from a kernel dump file, the computer program product comprising: one or more computer-readable storage media and program instructions stored on the one or more computer-readable storage media, the program instructions comprising: program instructions to identify an application that was running at a time of a system crash; program instructions to receive a kernel dump file that was created responsive to the system crash; program instructions to determine a restoration dataset stored in the kernel dump file; program instructions to determine, based on the restoration dataset, if data generated by the application at the time of the system crash was paged out to swap space; program instructions, responsive to determining data generated by the application at the time of the system crash was paged out to swap space, to extract swap space information; and program instruction to restore the application based, at least in part, on the restoration dataset and the swap space information, wherein the application is restored to the state it was in at the time of the system crash.