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Kenneth L. McMillan

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Simplifying Safety Proofs with Forward-Backward Reasoning and ProphecyPLDI 20262026-06-15
Proposes a proof system that breaks a single complex inductive invariant into incremental steps and proves each rule sound, implemented as a checker in myvy…
Talk on
Counterexample Driven Quantifier Instantiations with Applications to Distribute...OOPSLA 20232023-10-23
Replaces problematic function symbols with a one-to-one relational abstraction inside Ivy and drives refinements by solver counterexamples; SMT solvers that…
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Synthesizing History and Prophecy Variables for Symbolic Model CheckingVMCAI 20232023-01-15
Presents an automated CEGAR pipeline that introduces prophecy and history variables to remove universal quantifiers over arrays, using counterexample-guided…
Talk
Induction Duality: Primal-Dual Search for InvariantsPOPL 20222022-01-16
Presents a formal induction duality linking execution traces and bounded incremental proofs, and derives primal-dual Houdini, a symmetric algorithm that…
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