深入审视一个恒等式
前文推导了一个恒等式,并指出当 x > 1 且 y > 1 时该式成立。现在用 Mathematica 绘制图形来验证,观察恒等式成立时图形的平坦区域。结果确实在 x > 1 区间内保持平坦,这也解释了为何需要强调其适用范围。
前文推导了一个恒等式,并指出当 x > 1 且 y > 1 时该式成立。现在用 Mathematica 绘制图形来验证,观察恒等式成立时图形的平坦区域。结果确实在 x > 1 区间内保持平坦,这也解释了为何需要强调其适用范围。
Vitalik Buterin explores the practical applications of formal verification in blockchain and Ethereum context, explaining how mathematical proofs can be used to verify smart contract correctness and system security at a more accessible level than full deep dives into the subject.
Mathematician Timothy Gowers warns readers to brace themselves before reading further, suggesting the content that follows will be particularly impactful or surprising for mathematicians.
This paper presents the first formal semantics for the downgrading capabilities in CHERI-C/C++, describing how capabilities lose permissions and bounds during execution, and providing a foundation for reasoning about temporal memory safety properties.
The article explores formal verification techniques for ensuring software correctness, comparing them to testing and manual audits. It explains how mathematical proofs can verify code properties, using Ethereum-related examples like smart contract verification and the Ethereum Virtual Machine (EVM) to illustrate practical applications and trade-offs in complexity and coverage.
The article explores whether code quality remains important in an era of cheap computing, AI-generated code, and rapid development cycles. It argues that while writing code has become easier and cheaper, quality still matters for maintainability, readability, and long-term project health. The author suggests that prioritizing quality reduces technical debt and future costs.