{"slug": "invweaver-deductive-feedback-for-invariant-synthesis-in-interacting-loop", "title": "InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs", "summary": "Researchers introduced InvWeaver, a neuro-symbolic framework that synthesizes loop invariants for programs with multiple interacting loops by exposing inter-loop dependencies and propagating proof obligations. The system solved 72 out of 82 multi-loop benchmark problems, outperforming existing methods.", "body_md": "arXiv:2607.05478v1 Announce Type: new\nAbstract: Loop invariant inference is a fundamental yet challenging problem in program verification. Recent LLM-aided guess-and-check techniques have shown strong performance on single-loop programs, but they often struggle with programs containing multiple interacting loops. This paper presents InvWeaver, a neuro-symbolic framework for synthesizing invariants for such programs. The key idea is to expose inter-loop dependencies and propagate proof obligations through a combination of loop-level abstraction, obligation-guided inference, and weakest-precondition-based refinement. We evaluate InvWeaver on a comprehensive benchmark suite, including a newly curated dataset derived from classic algorithms. Experimental results show that InvWeaver substantially outperforms existing invariant inference methods, solving 72 out of 82 multi-loop benchmark problems and maintaining strong performance on single-loop tasks.", "url": "https://wpnews.pro/news/invweaver-deductive-feedback-for-invariant-synthesis-in-interacting-loop", "canonical_source": "https://arxiv.org/abs/2607.05478", "published_at": "2026-07-08 04:00:00+00:00", "updated_at": "2026-07-08 04:16:39.777486+00:00", "lang": "en", "topics": ["artificial-intelligence", "machine-learning", "large-language-models", "ai-research", "ai-tools"], "entities": ["InvWeaver", "arXiv"], "alternates": {"html": "https://wpnews.pro/news/invweaver-deductive-feedback-for-invariant-synthesis-in-interacting-loop", "markdown": "https://wpnews.pro/news/invweaver-deductive-feedback-for-invariant-synthesis-in-interacting-loop.md", "text": "https://wpnews.pro/news/invweaver-deductive-feedback-for-invariant-synthesis-in-interacting-loop.txt", "jsonld": "https://wpnews.pro/news/invweaver-deductive-feedback-for-invariant-synthesis-in-interacting-loop.jsonld"}}