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From Starvation Freedom to All-Path Reachability Problems in Constrained Rewriti...

Talkat PADL 2023 · 2023-01-16..01-17
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Extends LC term rewrite systems to reduce starvation freedom to an all-path reachability (APR) check by instrumenting states with a counter C with reset/increment rules and treating C > Cmax and certain terminating normal forms as error states; proves normal forms are finitely many constraint terms and implements the transformation and proof system. Tool verifies Peterson mutual exclusion as starvation-free in 7.39 seconds. Main limitations: Cmax must be chosen and APR failure only implies “maybe starvation.”

AI-written summary · about

  1. 0:00Starvation freedom introduction
  2. 1:52All-path reachability motivation
  3. 2:35All-path reachability definition
  4. 3:19Logically constrained rewrite systems
  5. 4:03LCRS for async transitions
  6. 6:15Constraint terms and APR validity
  7. 7:19Runtime errors to APR problems
  8. 8:44Race condition verification
  9. 9:48Starvation freedom challenges
  10. 10:53Counters for starvation detection
  11. 12:00Modifying rules with counters
  12. 13:52Error states with counter limits
  13. 14:57Normal forms for termination
  14. 17:31Starvation freedom in Peterson's
  15. 19:16Starvation freedom proof
  16. 20:42Implementation and results
  17. 21:04Conclusion and future work
  18. 22:37Q&A on disproof methods
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