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In order to have zero-knowledge privacy in Zcash, the function determining the validity of a transaction according to the network's consensus rules must return the answer of whether the transaction is valid or not, without revealing any of the information it performed the calculations on.
Zcash - How zk-SNARKs work in Zcash 
Added 6 months ago by Francis Tseng
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Zcash - How zk-SNARKs work in Zcash 
Info
In order to have zero-knowledge privacy in Zcash, the function determining the validity of a transaction according to the network's consensus rules must return the answer of whether the transaction is valid or not, without revealing any of the information it performed the calculations on.
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