Relational Cell Morphing: Automated Verification of Relational Properties of Array Programs
This program is tentative and subject to change.
Relational verification establishes properties that re late two executions of a program, such as robustness, non-interference, sensitivity, and relational cost bounds. While existing techniques can verify unary safety properties of array programs, relational properties of array programs remain largely out of reach for automated tools. We present relational cell morphing, which tracks a small number of distinguished array cells across two executions simultaneously, reducing relational verification of array programs to constrained Horn clause (CHC) solving over scalar variables without requiring array theories. A dynamic cell reselection mechanism, combined with universally quantified prophecy variables, enables tight relational cost bounds parameterized by the number of positions where two arrays agree. A merged asynchronous scheduler further extends the approach to programs with different iteration structures, where type-based relational cost analysis produces only loose bounds. We evaluate on 65 encodings spanning 8 property classes, all verified in seconds to minutes by PCSat.
This program is tentative and subject to change.
Tue 16 JunDisplayed time zone: Mountain Time (US & Canada) change
10:30 - 12:10 | |||
10:30 20mTalk | Refined Remora: Constraining Array Shapes ARRAY | ||
10:50 25mTalk | Relational Cell Morphing: Automated Verification of Relational Properties of Array Programs ARRAY Weihao Qu Monmouth University, Marco Gaboardi Boston University, Hiroshi Unno Tohoku University, Eric Koskinen Stevens Institute of Technology | ||
11:15 25mTalk | Graded Monoids for Dependently Typed Array Programming ARRAY Juuso Haavisto University of Oxford, Jeremy Gibbons Department of Computer Science, University of Oxford | ||
11:40 20mTalk | Portable Anomaly Detection for Distributed PGAS Programs based on Array Mapping Abstractions ARRAY Raneem Abu-Yosef Ohio State University, Thomas Huddleston The Ohio State University, Kirshanthan Sundararajah Virginia Tech, Martin Kong Ohio State University | ||
12:00 10mLive Q&A | Mini Panel ARRAY | ||