Definition ∞ An Impossibility Proof is a mathematical demonstration that a particular task or property cannot be achieved under a given set of constraints or assumptions. In computer science and cryptography, these proofs establish fundamental limitations on what can be computed or guaranteed. They are vital for understanding the theoretical boundaries of security and efficiency in digital systems. Such proofs help delineate what is computationally feasible versus what is fundamentally unattainable.
Context ∞ The concept of Impossibility Proof is highly relevant in cryptographic research and the design of secure protocols, particularly concerning distributed systems and zero-knowledge proofs. Debates often arise regarding the practical implications of theoretical limitations for real-world applications. News related to cryptographic advancements frequently references these foundational proofs to contextualize new security mechanisms or protocol designs.
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