Verifier Complexity
Verifier complexity is the measure of the computational resources required for a smart contract or node to verify a ZKP proof. A lower verifier complexity is highly desirable because it directly translates to lower gas costs and faster execution on the blockchain.
High complexity can make it expensive or impossible to verify proofs on-chain, limiting the scalability of the protocol. Designers aim to minimize this by using succinct proof systems where the verification time is logarithmic or constant relative to the computation size.
In financial applications, minimizing verifier complexity ensures that the cost of trust remains negligible for the end user. It is the primary factor in determining the economic viability of a ZKP-based financial protocol.