Is the TLS protocol secure against VM reset attacks?
Background: Imagine running cryptographic software inside a virtual machine (VM). A VM reset attack is one where the the state of the software is checkpointed (snapshot) at one point in time, allowed to run forward, and then reset (rolled back) to the previous snapshot and run forward some more. In some cases, this allows powerful attacks. There exist protocols that are secure in the standard model, but not secure against VM reset attacks.
So, is TLS (as a protocol) secure against this kind of attack? Are there are any attacks? Are any of the TLS ciphersuites vulnerable to VM reset attacks?
Prior work: Ristenpart et al. showed that some TLS implementations are vulnerable to VM reset attacks, in the following paper:
Thomas Ristenpart and Scott Yilek. When Good Randomness Goes Bad: Virtual Machine Reset Vulnerabilities and Hedging Deployed Cryptography. NDSS 2010.
However, their attacks are all against particular implementations of TLS, and exploit failure to reseed the RNG. In other words, they seem to represent a failure of the implementation rather than of the protocol itself. It appears that a sufficiently careful implementation can shield against those attacks by adding additional entropy to the PRNG at appropriate points.
My question is: are there any protocol-level VM reset vulnerabilities in TLS?
Threat model: Here is a more detailed threat model. The software runs inside a VM. The attacker can freely interact with the software over the network, as usual. Also, the attacker gains two additional powers: at any point, the attacker can save a snapshot of the current state of the VM; and at any point, the attacker can roll the VM back to some prior snapshot and then cause it to continue execution from there.
It is easy invent protocols that would be secure in the standard model but insecure in this model. For instance, imagine a protocol that generates an ephemeral keypair $K_A,K_A^{-1}$ for a one-time signature scheme, signs the ephemeral public key $K_A$ with a long-term RSA signing key, receives some message from the attacker, and then signs some message using the ephemeral signing key. In the standard model, this would be as secure as using a RSA signature. But in the VM reset model, this is insecure: an attacker could snapshot the system right after it generates the ephemeral keypair, let it run forward to emit one message signed by the ephemeral private key; then roll it back to the snapshot and run it forward from there, observing a second message signed by the same ephemeral private key. Once the attacker observes two messages signed by the same one-time private key, the attacker can forge other messages. So that's a proof that protocol-level VM reset vulnerabilities can exist. But is the TLS protocol vulnerable?