Definition ∞ Computational assumptions are hypotheses regarding the difficulty of solving certain mathematical problems using computational resources. These assumptions are fundamental to the security of cryptographic systems, including those that underpin digital assets and blockchain technology. For example, the security of public-key cryptography often relies on the presumed difficulty of factoring large numbers or solving discrete logarithm problems. If these assumptions prove false, the security of dependent systems could be compromised.
Context ∞ The ongoing discussion surrounding computational assumptions is crucial for the long-term viability of cryptographic security in blockchain networks. A critical future development involves advancements in quantum computing, which could potentially break some currently held computational assumptions, necessitating the adoption of post-quantum cryptographic methods. Understanding these assumptions is essential for evaluating the robustness and future-proofing of digital asset protocols.
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