Do .NET Core apps require the .NET runtime installed on the target machine?

In this video, Scott Hanselman interviews a guy from the ASP.NET team. He says that one of the goals of ASP.NET 5, on top of .NET Core, is that the apps won’t depend on the .NET Framework and GAC assemblies on the hosting server. Instead, .NET Core libraries will be released via NuGet packages and apps will be deployed with their dependencies.