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I’ve been in and around assembly verification for a while now.
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There is a neat paper https://arxiv.org/abs/math/9405205 Seven Trees in One, where it is shown that there is a nice isomorphism between 7 trees and one tree.
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I’ve been tinkering on a solver-oriented interactive proof assistant as a library called Knuckledragger https://github.com/philzook58/knuckledragger .
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Algebraic effects are a style / mathematical framework for modelling mutation, search, and some other things.
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I’ve been trying my hand at translating a reasonable subset of TLA+ into z3py for the purposes of connecting specs to Verus, CBMC, and my assembly checker and also for maybe a little interactive theorem proving as a treat.
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I have been writing posts about Lifting Egraphs video as an intriguing way of adding variables and scope into an egraph.
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One thing I’ve been discussing with Rudi, Michel and Max is union find annotations.
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I was invited a few months ago into discussions with Cheng Zhang, Sam Coward and Alexandra Silva on some work integrating loopy infinite streamy things into e-graphs.
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I submitted a talk to the EGRAPHS workshop and it was accepted!
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Automated reasoning is fun.