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Relational Cell Morphing: Automated Verification of Relational Properties of Array(…)

Talkat ARRAY 2026 · on Tuesday, 2026-06-16
slides:none on file

The system reduces relational verification of array programs to constrained Horn clause solving over scalars by tracking a few distinguished cells across two executions, avoiding array theories and synthesizing a merged asynchronous scheduler. It adds dynamic cell reselection and universally quantified prophecy variables to get tight relational cost bounds parameterized by positions of agreement, and it verifies 65 encodings across 8 property classes in seconds–minutes using PCSat; core technique is relational cell morphing.

AI-written summary · about

  1. 0:00Introduction
  2. 1:10Relational properties
  3. 4:22Arrays in verification
  4. 7:54Type systems and arrays
  5. 11:25Logic for relational arrays
  6. 14:17Relational cell morphing
  7. 17:48Evaluation and limitations
  8. 18:09Summary
  9. 18:34Q&A
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