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The Ghosts of Empires: Extracting Modularity from Interleaving-Based Proofs

Talkat POPL 2026 · 2026-01-11..01-17· [software-architecture]
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Converts interleaving-based certificates produced by Ultimate Automizer into compact Owicki–Gries thread-modular proofs by synthesizing ghost variables tracking empire state and building a finite-state “empire” abstraction that groups places into territories. Evaluated on 1,100 SV-COMP C programs, proof generation is about 119× faster, resulting proofs are ~15× smaller and validation runs ~26× faster than a naive-location-encoding baseline, producing checkable certificates that significantly reduce interleaving blowup.

AI-written summary · about

  1. 0:00Ghost-based modular proofs
  2. 3:20Threat-modular proofs and ghosts
  3. 7:12Petri programs and territories
  4. 9:22Computing empires from proofs
  5. 12:11Thread-modular proofs
  6. 14:19Evaluation vs naive approach
  7. 16:25Conclusion and future work
  8. 17:32Q&A: Completeness
  9. 18:13Q&A: Memory compatibility
  10. 19:20Q&A: Soundness of empires
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