Complexity Class NP describes a collection of computational problems for which a proposed solution can be verified quickly by a computer. While discovering a solution might be computationally difficult, checking the correctness of an existing solution requires only a reasonable amount of time. This concept is fundamental to cryptography and the security underpinnings of many digital systems. It concerns problems solvable in non-deterministic polynomial time.
Context
The P versus NP problem remains one of the most significant unsolved questions in theoretical computer science. Its resolution would carry profound implications for cryptography, blockchain security, and the efficiency of various computational processes. The security of numerous cryptographic protocols relies on the assumed difficulty of solving problems considered NP-hard.
Leveraging Gödelian principles, this new cryptographic model achieves perfectly sound, non-interactive, transparent proofs, resolving the trusted setup dilemma.
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