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Jacob Laurel

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Synthesizing Sound and Precise Abstract Transformers for Nonlinear Hyperbolic PDE(…)OOPSLA 20252025-10-16
Phocus synthesizes sound, precise abstract transformers for Lax‑Friedrichs, Leapfrog and Upwind finite difference schemes by finding a best linear…
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Abstract Interpretation for Automatic DifferentiationLAFI 20242024-01-14
Static analysis produces sound numeric bounds on derivatives computed by AD, using a synthesized abstract interpreter that encloses nonlinear patterns with a…
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Synthesizing Precise Static Analyzers for Automatic DifferentiationOOPSLA 20232023-10-23
Pasado synthesizes precise static analyzers that directly abstract the Chain Rule, Product Rule and Quotient Rule in automatic differentiation, producing a…
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A Dual Number Abstraction for Static Analysis of Clarke JacobiansPOPL 20222022-01-16
Paper presents a dual-interval abstract domain that lifts dual-number forward-mode differentiation to interval arithmetic and proves the transformer semantics…
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