Download PDFOpen PDF in browserOverapproximation of Non-Linear Integer Arithmetic for Smart Contract Verification13 pages•Published: June 3, 2023AbstractThe need to solve non-linear arithmetic constraints presents a major obstacle to the automatic verification of smart contracts. In this case study we focus on the two overapproximation techniques used by the industry verification tool Certora Prover: overapproximation of non-linear integer arithmetic using linear integer arithmetic and using non-linear real arithmetic. We compare the performance of contemporary SMT solvers on verification conditions produced by the Certora Prover using these two approximations against the natural non-linear integer arithmetic encoding. Our evaluation shows that the use of the overapproximation methods leads to solving a significant number of new problems.Keyphrases: formal verification, linear integer arithmetic, non linear integer arithmetic, non linear real arithmetic, smart contracts, smt solving In: Ruzica Piskac and Andrei Voronkov (editors). Proceedings of 24th International Conference on Logic for Programming, Artificial Intelligence and Reasoning, vol 94, pages 257-269.
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