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Compositional Shape Analysis with Shared Abduction and Biabductive Loop Acceleration(…)

Talkat TPSA 2025 · 2025-01-19..01-25
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Introduces Shared Abduction that maintains one shared precondition across multiple current states so biabduction discovers a single sound precondition for nondeterministic branches, and a four-step Biabductive loop acceleration that heuristically proposes an invariant, reductively verifies it, and either fails fast or constructs a sound fixpoint. Claims single-phase soundness without changing biabduction or abstraction logic, implements it in the broom/brush analyzer stack, and reports ~50% overall runtime reduction and ~95% speedup on loop-heavy benchmarks (66% fewer loop analyses).

AI-written summary · about

  1. 0:00Introduction
  2. 3:04Biabduction unsoundness with branching
  3. 7:22Shared abduction for branching
  4. 7:44Loop unsoundness and abstraction limits
  5. 9:35Loop acceleration for sound invariants
  6. 12:48Performance improvements
  7. 14:13Publication details
  8. 14:35Q&A
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