following function:
This is catastrophic for anonymous credential systems, since a single stolen credential anywhere means that the guarantees of the global system become useless.
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One clever approach is to place an upper bound on the number of times that a ZK credential can be used. For example, we might wish to ensure that a credential can be “shown” at most N times before it expires. This is analogous to extracting many different single-use credentials, without the hassle of having to make the Issuer and User do quite as much work.