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Proving Hypersafety Compositionally

Talkat OOPSLA 2022 · 2022-12-05..12-10
slides:none on file

Claims a new proof system, the Logic for Hyper-triple Composition (LHC), that proves hypersafety properties compositionally by treating mixed-arity hyper-triples as first-class and keeping computations implicit via a weakest-pre on hyper terms. The paper proves LHC sound, implements rules like nesting and conjunction (plus indexing-change and component-removal), derives a loop/lock-step rule, and applies the logic to several nontrivial examples, showing reuse of modular hyper-triples instead of reducing everything to unary characterizations.

AI-written summary · about

  1. 0:00Start
  2. 3:19Relational Proofs
  3. 7:06Lockstep proofs
  4. 8:44Compositionality, ideally
  5. 10:26The issue of compositionality
  6. 13:46The Logic for Hypertriple Composition
  7. 14:22Weakest Precondition
  8. 17:31LHC's Union Rules
  9. 19:20A Compositional Proof of the Example
  10. 28:12A Loop Invariant
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