No-Go Theorem

Definition ∞ A No-Go Theorem is a mathematical result demonstrating the impossibility of achieving a certain outcome or property under a given set of conditions. In theoretical computer science and cryptography, these theorems establish fundamental limits on what can be accomplished by specific algorithms or protocols. For instance, a No-Go Theorem might prove that a particular security property cannot be guaranteed without certain computational assumptions. These theorems guide the design of secure and efficient systems.
Context ∞ No-Go Theorems, while abstract, provide critical insights into the fundamental limitations and trade-offs inherent in designing secure blockchain protocols and digital asset systems. Discussions in the crypto space might reference such theorems when explaining why certain desirable properties, like perfect decentralization, scalability, and security, cannot all be maximally achieved simultaneously. Understanding these theoretical boundaries helps in evaluating the feasibility and robustness of new cryptographic designs.