Program verifiers such as Dafny automate proofs by outsourcing them to an SMT solver. This automation is not perfect, however, and the solver often requires hints in the form of \emph{assertions}, creating a burden for the proof engineer. In this paper, we propose Laurel, a tool that alleviates this burden by automatically generating assertions using large language models (LLMs).

To improve the success rate of LLMs in this task, we design two domain-specific prompting techniques. First, we help the LLM determine the location of the missing assertion by analyzing the verifier’s error message and inserting an \emph{assertion placeholder} at that location. Second, we provide the LLM with example assertions from the same codebase, which we select based on a new \emph{proof similarity} metric. We evaluate our techniques on our new benchmark DafnyGym, a dataset of complex lemmas we extracted from three real-world Dafny codebases. Our evaluation shows that Laurel is able to generate over 56.6% of the required assertions given only a few attempts, making LLMs an affordable tool for unblocking program verifiers without human intervention.