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Restructured from flat .tex/.pdf files into per-paper subdirectories. Added Antje Worring as co-author on all papers. Synced PDFs to pdfs/ for download site.
65 lines
1.8 KiB
TeX
65 lines
1.8 KiB
TeX
\section{Implementation Challenges}
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Several technical challenges arise in implementing fraud proofs for complex operations.
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\subsection{Complex Opcode Verification}
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Some opcodes require substantial on-chain computation:
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\begin{itemize}
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\item \textbf{CALL}: Requires full contract execution simulation
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\item \textbf{CREATE}: Needs contract deployment verification
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\item \textbf{SELFDESTRUCT}: Must verify state deletion
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\item \textbf{DELEGATECALL}: Complex context switching
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\end{itemize}
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Solutions include:
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\begin{enumerate}
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\item Pre-compiled contracts for common operations
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\item Optimistic execution with separate fraud proofs
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\item Limiting supported opcodes in rollups
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\item Hybrid on-chain/off-chain verification
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\end{enumerate}
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\subsection{Memory Access Patterns}
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Efficient memory verification requires careful design:
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\begin{equation}
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\text{MemoryProof}_{\text{size}} = O(k \times \log(n))
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\end{equation}
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where $k$ is the number of memory accesses and $n$ is memory size.
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\subsection{Gas Limit Constraints}
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L1 gas limits constrain verification complexity:
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\begin{table}[h]
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\centering
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\caption{Gas Costs for Verification Operations}
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\begin{tabular}{lr}
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\toprule
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\textbf{Operation} & \textbf{Gas Cost} \\
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\midrule
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Merkle proof verification (per level) & 1,000 \\
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State root computation & 5,000 \\
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Simple opcode execution & 10,000 \\
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Complex opcode execution & 100,000 \\
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Full one-step proof & 2,000,000 \\
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\bottomrule
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\end{tabular}
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\end{table}
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\subsection{Prover-Verifier Asymmetry}
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The asymmetry between proving and verification creates opportunities and challenges:
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\begin{equation}
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\frac{\text{Cost}_{\text{prove}}}{\text{Cost}_{\text{verify}}} = O(n)
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\end{equation}
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This favorable ratio enables efficient fraud proofs but requires careful protocol design to prevent exploitation.
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