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arXiv · 2408.12668

Input-based Three-valued Abstraction Refinement

Jan Onderka·Stefan Ratschan
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Abstract

Unlike Counterexample-Guided Abstraction Refinement (CEGAR), Three-Valued Abstraction Refinement (TVAR) is able to verify all properties of the mu-calculus. We present a novel algorithmic framework for TVAR that employs a simulator-like approach to build and refine the abstract state space with input-based splitting. This leads to a state space formalism that is much simpler than in previous TVAR frameworks, which use modal transitions. We implemented the framework in our open-source tool machine-check and verified properties of machine-code systems for the AVR architecture, showing the ability to verify systems and mu-calculus properties not verifiable by naive model checking or CEGAR, respectively. This is the first practical use of TVAR for machine-code verification.

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Jan Onderka, Stefan Ratschan. 2024-08-22. Input-based Three-valued Abstraction Refinement. https://arxiv.org/abs/2408.12668

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