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Interaction Tree Specifications: A Framework for Specifying Recursive, Effectful Computations That Supports Auto-Active Verification

Authors Lucas Silver, Eddy Westbrook, Matthew Yacavone, Ryan Scott

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Author Details

Lucas Silver
  • University of Pennsylvania, Philadelphia, PA, USA
Eddy Westbrook
  • Galois, Inc., Portland, OR, USA
Matthew Yacavone
  • Galois, Inc., Portland, OR, USA
Ryan Scott
  • Galois, Inc., Portland, OR, USA

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Lucas Silver, Eddy Westbrook, Matthew Yacavone, and Ryan Scott. Interaction Tree Specifications: A Framework for Specifying Recursive, Effectful Computations That Supports Auto-Active Verification. In 37th European Conference on Object-Oriented Programming (ECOOP 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 263, pp. 30:1-30:26, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023) https://doi.org/10.4230/LIPIcs.ECOOP.2023.30

Abstract

This paper presents a specification framework for monadic, recursive, interactive programs that supports auto-active verification, an approach that combines user-provided guidance with automatic verification techniques. This verification tool is designed to have the flexibility of a manual approach to verification along with the usability benefits of automatic approaches. We accomplish this by augmenting Interaction Trees, a Coq datastructure for representing effectful computations, with logical quantifier events. We show that this yields a language of specifications that are easy to understand, automatable, and are powerful enough to handle properties that involve non-termination. Our framework is implemented as a library in Coq. We demonstrate the effectiveness of this framework by verifying real, low-level code.

Subject Classification

ACM Subject Classification
  • Theory of computation → Denotational semantics
  • Theory of computation → Programming logic
  • Theory of computation → Separation logic
Keywords
  • coinduction
  • specification
  • verification
  • monads

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