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ICFP 2018
Sun 23 - Sat 29 September 2018 St. Louis, Missouri, United States
Tue 25 Sep 2018 13:45 - 14:07 at Stifel Theatre - Proof Techniques and Mechanization Chair(s): Niki Vazou

Abstract interpretation is a technique for developing static analyses. Yet, proving abstract interpreters sound is challenging for interesting analyses, because of the high proof complexity and proof effort. To reduce complexity and effort, we propose a framework for abstract interpreters that makes their soundness proof compositional. Key to our approach is to capture the similarities between concrete and abstract interpreters in a single shared interpreter, parameterized over an arrow-based interface. In our framework, a soundness proof is reduced to proving reusable soundness lemmas over the concrete and abstract instances of this interface; the soundness of the overall interpreters follows from a generic theorem. To further reduce proof effort, we explore the relationship between soundness and parametricity. Parametricity not only provides us with useful guidelines for how to design non-leaky interfaces for shared interpreters, but also provides us soundness of shared pure functions as free theorems. We implemented our framework in Haskell and developed a k-CFA analysis for PCF and a tree-shape analysis for Stratego. We were able to prove both analyses sound compositionally with manageable complexity and effort, compared to a conventional soundness proof.

Tue 25 Sep

icfp-2018-papers
13:00 - 14:30: Research Papers - Proof Techniques and Mechanization at Stifel Theatre
Chair(s): Niki VazouUniversity of Maryland, USA
icfp-2018-papers13:00 - 13:22
Talk
Robbert KrebbersDelft University of Technology, Jacques-Henri JourdanCNRS, LRI, Université Paris-Sud, Ralf JungMPI-SWS, Joseph TassarottiCarnegie Mellon University, Jan-Oliver KaiserMPI-SWS, Amin Timanyimec-Distrinet KU-Leuven, Arthur CharguéraudInria, Derek DreyerMPI-SWS
DOI
icfp-2018-papers13:22 - 13:45
Talk
Jan-Oliver KaiserMPI-SWS, Beta ZilianiFAMAF, UNC and CONICET, Robbert KrebbersDelft University of Technology, Yann Régis-GianasIRIF, University Paris Diderot and CNRS, France / INRIA PI.R2, Derek DreyerMPI-SWS
DOI
icfp-2018-papers13:45 - 14:07
Talk
Sven KeidelDelft University of Technology, Netherlands, Casper Bach PoulsenDelft University of Technology, Sebastian ErdwegDelft University of Technology, Netherlands
DOI
icfp-2018-papers14:07 - 14:30
Talk
Nicolas TabareauInria, Éric TanterUniversity of Chile & Inria Paris, Matthieu SozeauInria
DOI