👉 Preproving a statement is an important step in mathematical proof. It involves proving that a given statement or proposition is true, without actually testing it by explicitly checking all possible cases. In other words, it is about ensuring that a statement is not only true but also logically valid. Preproving can be used to verify the truth of statements and help establish their validity through logical reasoning.
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What is the definition of Preproved? 🙋
👉 In computational complexity theory, a term that is commonly used to describe a proof of correctness for an algorithm or program is "pre-proved." Pre-proved algorithms are those that have been verified by a priori guarantees such as completeness (the algorithm can be proven correct without any additional information), provability (the algorithm can be proven correct under some additional assumptions), and provable complexity (the algorithm's running time is polynomial in the input size). For example, consider the problem of computing the factorial
