Xen Project Version Compatibility
Guest ABI Guarantees
The hypervisor API exposed to guests was declared to be a stable binary interface (ABI) with the release of Xen 3.0.0 in December 2005. Any changes to the guest visible ABI are done in a backwards compatible manner and new interfaces are optional and opt-in for guests.
If the hypervisor ABI is changed in a way which breaks an existing guest then this should be considered a bug.
Live Migration Between Versions
Xen supports migration (including live migration and save restore) both within a stable release branch (e.g. between any versions in the 4.2.x branch) and from one major release to the next (e.g. from release N to releaseN+1). This allows one to upgrade a pool of Xen hosts by evacuating and upgrading the hosts one by one.
Although it is not formally supported skipping a major release (e.g. migration from release N to release N+2) may often work.
Migrating down a version (e.g. from release N+1 down to release N) is not normally supported.
Xen 3.x vs Xen 4.x
The release following Xen 3.4 was named 4.0. However this was just a version number bump and does not imply anything particular with regards to compatibility guarantees between those two versions.
In particular it is not the case than Xen 4.x is incompatible with guests using the Xen 3.x hypervisor API and the Guest API guarantees mentioned above continue to hold. Likewise live migration from version 3.4 to version 4.0 is supported.