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A Conjecture Regarding SMT Instability

Cebeci, Can  
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Bjørner, Nikolaj
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Candea, George  
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Hoenicke, Jochen
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Janota, Mikolas
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2025
Catalysis from A to Z: A Concise Encyclopedia, 4 Volume Set

Automated verifiers rely on SMT solvers as a backend for proof automation. This simplifies verification in the common case, but also creates usability challenges due to instability. Previous work proposes mitigation strategies motivated by the assumption that instability is a fundamental theoretical limitation. We conjecture that the instability experienced by verifiers today is often caused by fixable engineering problems, and is thus not fundamental. Should this be true, the more consequential approach to addressing instability would be to identify root causes and connect them with solver improvements. We conducted case studies on 11 deemed-unstable queries from existing verification projects and from issues reported on the Z3 repository, with the goal of diagnosing the root causes of instability. For all of them, instability is attributable to solver bugs, misconfiguration, or misaligned expectations. We present our analysis and draw conclusions regarding better instability metrics, interfaces that make instability explicit, systematic debugging methods, and easier-to-debug SMT solvers.

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