Definition ∞ Logical unprovability refers to statements or propositions that cannot be definitively demonstrated as true or false within a specific formal system, despite potentially being true in reality. This concept stems from Gödel’s incompleteness theorems in mathematical logic. It highlights inherent limitations within formal axiomatic systems. This has implications for the absolute certainty of cryptographic proofs.
Context ∞ In the context of blockchain and cryptographic security, logical unprovability is primarily a theoretical consideration, particularly within advanced proof systems. While practical systems strive for provable security, the existence of unprovable truths suggests inherent boundaries to absolute certainty. This concept helps frame the philosophical underpinnings of computational security and its limits.
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