Can a blockchain reward miners for more than one kind of verifiable computation? Bitcoin gives every miner the same basic task: search for a valid hash. This provides a consistent measure of mining power because more hashpower means a greater chance of producing the next block. Hashing works well for consensus even though its output has little value outside the blockchain. Nockchain replaces hash grinding as the costly mining work with generating proofs over NockVM computation. More proofpower gives a miner a greater chance of producing the next valid block, analogous to hashpower in Bitcoin. Nockchain extends this model beyond a single kind of work. Its base ZKPoW network rewards NockVM proof generation. A separate AI PoW network lets inference providers reuse existing model computation while competing for PoW rewards. Each has its own difficulty and incentive structure. For proof-based mining to work, proofpower has to remain tied to fresh computation. A miner's chance of winning should scale with effective proofpower without allowing previous work to be reused or amortized across new mining puzzles. The protocol addresses this by cryptographically binding each puzzle to fresh inputs. Extending the model into a broader compute market introduces another requirement: there also has to be external demand for the computation being incentivized.