There are no such things as:
- Windows Server 8. That was the old codename before the official title was announced.
- Hyper-V v3.0
- Hyper-V R3
The name of the server is Windows Server 2012. The short for that is WS2012.
The name of the hypervisor is Windows Server 2012 Hyper-V. The short for that is WS2012 Hyper-V. There is also the free download, called Hyper-V Server 2012.
Hyper-V is available on Windows 8 Pro and Enterprise. It’s official name is Windows 8 Client Hyper-V.