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Paper · arXiv

LLM-Assisted Bi-Approximate CHC Solving

Constrained Horn clause (CHC) solvers often struggle to discover deep counterexamples whose derivations may require extensive rule unfolding. Although large language models (LLMs) can propose long-range symbolic relations, prior work on formally checked LLM-assisted verification has mainly focused on generating inductive invariants and concrete traces. We exploit this broader capability through Derivation Power Under-approximations (DPUs). Each DPU is a solver-certified under-approximation of the relation induced by a multi-step CHC derivation. An LLM proposes each DPU with symbolic intermediate-state witnesses that enable SMT validation without introducing additional quantifiers. Validat...

AuthorsBaiting Jiang
Primary categorycs.LO
Published16 October 2026
Last updated at source16 October 2026
cs.LOcs.AI
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