~/talk

Software Model-Checking as Cyclic-Proof Search

Talkat POPL 2022 · 2022-01-16..01-22
links:none on file
slides:none on file

Claims that many software model-checking algorithms are exactly proof-search strategies for a cyclic proof system, so a single logical framework reconstructs PDR, Impact and k-step unwindings, supplies soundness proofs for free, and exposes when SMT-based interpolation and cut formulas succeed or fail. The paper formalizes weakest-precondition (greatest fixpoint) reasoning, shows how SE-derived rules plus forward criterion and interpolants recover PDR-style invariants, and ties maximal-conservativity heuristics to an efficient solver for games over infinite graphs.

AI-written summary · about

  1. 0:00Start
  2. 3:01Outline
  3. 4:11Inductive invariant
  4. 7:23Classical proof rule for inductive definitions
  5. 11:27Key observation
  6. 14:52Symbolic execution
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