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A blog about mathematics, computing, formal verification, and the ideas behind them.
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When the Hard Part Stops Being Hard
A few days ago, a paper I co-authored, Tracking Borrows with Regular Expressions, was accepted to OOPSLA'26. It presents a new type system for Move, a Rust-style smart contract language, built on a rather cute idea: using regular expressions to capture he
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Liveness Proofs in Veil, Part I: The First Step
Safety property means "nothing bad happens during the run of a program"; liveness property means "the program eventually does something good". In this post, we walk through a simple proof of a liveness property in Veil, using a basic consensus protocol as
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On the Unreasonable Effectiveness of Property-Based Testing for Validating Formal Specifications
In this post, we show that property-based testing (PBT) is surprisingly effective for validating LLM-synthesised specifications of Lean programs: it is a cheap alternative to symbolic proofs, which helped to detect underspecification in 10% of the specs i
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Verifying Move Borrow Checker in Lean: an Experiment in AI-Assisted PL Metatheory
I formalised and proved the correctness of Move's new borrow checker in Lean: 39,000 lines of mechanised metatheory, produced in under a month with the help of an AI coding assistant. This post tells the story of how it went and what it means for the futu
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Verifying Distributed Protocols in Veil
In this post, we discuss how to formalise, test, and prove the correctness of a classic distributed protocol by combining model checking, automated deductive verification, and AI-powered invariant inference in Veil, a new auto-active Lean-based verifier f
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