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ArchSem: Reusable Rigorous Semantics of Relaxed Architectures

Talkat POPL 2026 · 2026-01-11..01-17· [compilers-and-language-design]
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A reusable framework composes ISA pseudo-code from Sail with concurrency interpreters in Rock via a freemonad of 15 algebraic effects, ingesting the full ARM (~400k Sail) and RISC-V specs to produce executable and provable models. The team proves an ARM virtual-memory refinement (user-mode executions in the full system also appear in the simpler user model) using Rocq, Isabelle, and paper proof, with 50k auto + 10k manual Isabelle lines backing instruction-level lemmas. Current limits: no parallel effect primitives yet and undefined-behavior handling is incomplete; x86 port is underway.

AI-written summary · about

  1. 0:00RXM framework for CPU semantics
  2. 1:25Formal CPU architecture semantics
  3. 3:32CPU semantics decomposition
  4. 7:44ARM reusable framework
  5. 13:40Free monad instruction models
  6. 16:30Programs over relaxed models
  7. 17:54ARM virtual memory theorem
  8. 20:41RXM challenges and future work
  9. 22:06Q&A: x86 complexity
  10. 22:50Q&A: Executable concurrency models
  11. 23:54Q&A: Weaker memory models
  12. 24:19Q&A: Proof assistant strategies
  13. 25:20Closing remarks
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