Can Large Language Models Reason About Program Invariants?

Identifying invariants in programs is an important program analysis task with applications towards program understanding, vulnerability analysis, and formal verification. Existing tools for identifying invariants rely on dynamic analysis, requiring traces collected from multiple executions in order to produce reliable invariants. We study the application of large language models to invariant prediction, finding that models training on source code and fine-tuned to invariant prediction can perform invariant prediction as static rather than dynamic analysis. Using a scratchpad approach gives the best performance, finding invariants statically of quality comparable to those obtained by a dynamic analysis tool with access to five program traces.