Dev tools · September 15, 2025
State Algebra, new algebraic framework for logic, an alternative to BDD
Hey HN, My co-author and I just published a paper on arXiv that formalises a framework we've been using successfully in probabilistic logic for many years. We decided it was time to properly lay out its foundations for classical propositional logic. We cast propositional logic into a formal algebra where logical formulas are represented by sparse matrices. State Algebra isn't an algorithm in itself, but rather a language for manipulating Boolean functions. It provides a new set of tools that lets you express and reformulate existing optimization heuristics (like those from modern SAT…
State Algebra, new algebraic framework for logic, an alternative to BDD launched on September 15, 2025 with 5 votes and more than 75% of that year's launches. The site was still online in September 2026, 1 year on.
What it does
Abstract page for arXiv paper 2509.10326: State Algebra for Propositional Logic
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In the maker’s words, at launch
Hey HN, My co-author and I just published a paper on arXiv that formalises a framework we've been using successfully in probabilistic logic for many years. We decided it was time to properly lay out its foundations for classical propositional logic. We cast propositional logic into a formal algebra where logical…
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