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In cryptography, a zero-knowledge proof is a protocol in which one party (the prover) can convince another party (the verifier) that some given statement is true, without conveying to the verifier any information beyond the mere fact of that statement's truth. [1]
Most non-interactive zero-knowledge proofs are based on mathematical constructs like elliptic curve cryptography or pairing-based cryptography, which allow for the creation of short and easily verifiable proofs of the truth of a statement. Unlike interactive zero-knowledge proofs, which require multiple rounds of interaction between the prover ...
The hybrid argument is extensively used in cryptography. Some simple proofs using hybrid arguments are: If one cannot efficiently predict the next bit of the output of some number generator, then this generator is a pseudorandom number generator (PRG). [3] We can securely expand a PRG with 1-bit output into a PRG with n-bit output. [4]
In cryptography, the Fiat–Shamir heuristic is a technique for taking an interactive proof of knowledge and creating a digital signature based on it. This way, some fact (for example, knowledge of a certain secret number) can be publicly proven without revealing underlying information.
A Kate-Zaverucha-Goldberg commitment uses pairing-based cryptography to build a partial reveal scheme with () commitment sizes, proof sizes, and proof verification time. In other words, as n {\displaystyle n} , the number of values in X {\displaystyle X} , increases, the commitments and proofs do not get larger, and the proofs do not take any ...
In cryptography, a proof of knowledge is an interactive proof in which the prover succeeds in 'convincing' a verifier that the prover knows something. What it means for a machine to 'know something' is defined in terms of computation. A machine 'knows something', if this something can be computed, given the machine as an input.
A witness-indistinguishable proof (WIP) is a variant of a zero-knowledge proof for languages in NP. In a typical zero-knowledge proof of a statement, the prover will use a witness for the statement as input to the protocol, and the verifier will learn nothing other than the truth of the statement. In a WIP, this zero-knowledge condition is ...
In cryptography, a zero-knowledge password proof (ZKPP) is a type of zero-knowledge proof that allows one party (the prover) to prove to another party (the verifier) that it knows a value of a password, without revealing anything other than the fact that it knows the password to the verifier.