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add a bunch of resources on formal verification
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hacking_tools/formal_ verification/README.md
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hacking_tools/formal_ verification/README.md
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## formal verification
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<br>
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### tl; dr
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<br>
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#### yul
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<br>
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* yul (previously also called julia) is an intermediate statically-typed language that can be compiled to bytecode for different backends.
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* it's a good target for high-level optimisation stages, as it provides flexibility, speed, and interoperates easily with high-level solidity.
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* programs written in yul are readable even if the code is generated by a compiler from solidity.
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* because yul needs to be compiled to bytecode, it requires additional time to complete the entire compilation process, making it time-consuming during development.
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<br>
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<p align="center">
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<img src="https://user-images.githubusercontent.com/1130416/219821226-9f9b8a05-7d66-4d34-841e-774e0365d50c.png" width="70%" align="center" style="padding:1px;border:1px solid black;" />
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</p>
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<br>
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----
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### external resources
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<br>
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* **[lean prover](https://leanprover.github.io/)**
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* **[solidity docs on yul](https://docs.soliditylang.org/en/v0.8.18/yul.html)**
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* **[evm.codes (evm opcodes, by fork)](https://www.evm.codes/?fork=arrowGlacier)**
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* **[solady, optimized solidy snippets](https://github.com/Vectorized/solady)**
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* **[the darks arts of yul, by vectorized](https://www.youtube.com/watch?v=ew3pfnb2_V8)**
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* **[optimising gas efficient whitelist contract in yul, by 0xmonsoon](https://mirror.xyz/0xCdC75C7d65d5c4cD0329DA74f979C6E1613d57A5/0ZsbpDeEzQhqFNRnsJhhkmPg1oXJCxH0SMkr5EZbaNc)**
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* **[ethernaut solutions in yul](https://github.com/teddav/ethernaut-yul/)**
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