Bridging LLM Planning Agents and Formal Methods: A Case Study in Plan Verification
On the map: LLM agents and tool use → General LLM agent frameworks and benchmarks
Abstract (arXiv)
We introduce a novel framework for evaluating the alignment between natural language plans and their expected behavior by converting them into Kripke structures and Linear Temporal Logic (LTL) using Large Language Models (LLMs) and performing model checking. We systematically evaluate this framework on a simplified version of the PlanBench plan verification dataset and report on metrics like Accuracy, Precision, Recall and F1 scores. Our experiments demonstrate that GPT-5 achieves excellent classification performance (F1 score of 96.3%) while almost always producing syntactically perfect formal representations that can act as guarantees. However, the synthesis of semantically perfect formal models remains an area for future exploration.
Key facts. Cited by 6 papers in the map (data through 7 Oct 2026). Placed in General LLM agent frameworks and benchmarks, one of 16 directions in LLM agents and tool use. Builds on 13 of its 24 references that are in the map. First posted on arXiv 3 Oct 2025.
Builds on
13 of 24 references.
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Other references · 12
- 2025Why Do Multi-Agent LLM Systems Fail?cited by 559
- 2022PlanBench: An Extensible Benchmark for Evaluating Large Language Models on Planning and Reasoning about Changecited by 372
- 2024LLMs Can't Plan, But Can Help Planning in LLM-Modulo Frameworkscited by 178
- 2023Lemur: Integrating Large Language Models in Automated Program Verificationcited by 49
- 2024CodeMirage: Hallucinations in Code Generated by Large Language Modelscited by 23
- 2024FVEL: Interactive Formal Verification Environment with Large Language Models via Theorem Provingcited by 22
- 2025VeriPlan: Integrating Formal Verification and LLMs into End-User Planningcited by 19
- 2024Software Vulnerability and Functionality Assessment using LLMscited by 11
- 2024VeCoGen: Automating Generation of Formally Verified C Code with Large Language Modelscited by 10
- 2025Vulnerability Detection: From Formal Verification to Large Language Models and Hybrid Approaches: A Comprehensive Overviewcited by 7
- 2025Specification and Evaluation of Multi-Agent LLM Systems -- Prototype and Cybersecurity Applicationscited by 3
- 2025GenPlanX. Generation of Plans and Executioncited by 2
Built on by
Citing papers per year: 2026: 6.
6 papers.
- 2026AgentRx: Diagnosing AI Agent Failures from Execution Trajectoriescited by 53
- 2026AgentLTL: A Trace-Verification Framework for Measuring, Enforcing, and Training Procedural Compliance in Tool-Using LLM Agentscited by 4
- 2026Toward Safe LLM Agents: A Survey of Specification, Verification, and Enforcementcited by 2
- 2026Lean4Agent: Formal Modeling and Verification for Agent Workflow and Trajectorycited by 1
- 2026TraceFix: Repairing Agent Coordination Protocols with TLA+ Counterexamplescited by 0
- 2026Learning Context-Free Grammars for Grammar-Constrained Decoding via Declarative Agentic Programming with Guaranteescited by 0
- 2026Learning Context-Free Grammars for Grammar-Constrained Decoding via Declarative Agentic Programming with Guarantees6 Aug 2026
- 2026AgentLTL: A Trace-Verification Framework for Measuring, Enforcing, and Training Procedural Compliance in Tool-Using LLM Agents1 Jul 2026
- 2026Toward Safe LLM Agents: A Survey of Specification, Verification, and Enforcement22 Jun 2026
- 2026Lean4Agent: Formal Modeling and Verification for Agent Workflow and Trajectory2 Jun 2026
- 2026TraceFix: Repairing Agent Coordination Protocols with TLA+ Counterexamples8 May 2026
- 2026AgentRx: Diagnosing AI Agent Failures from Execution Trajectories2 Feb 2026
Similar, not cited
Close in wording, no citation either way
- 2026Language Models as Higher-Order Planning Formalizers
- 2025Language Model as Planner and Formalizer under Constraints
- 2024Formal-LLM: Integrating Formal Language and Natural Language for Controllable LLM-based Agents
- 2026PDDLCoder: Agentic PDDL Generation for LLM-Assisted Symbolic Planning
- 2023On the Planning Abilities of Large Language Models (A Critical Investigation with a Proposed Benchmark)
- 2024CoT-TL: Low-Resource Temporal Knowledge Representation of Planning Instructions Using Chain-of-Thought Reasoning
- 2024Testing and Understanding Erroneous Planning in LLM Agents through Synthesized User Inputs
- 2025Documentation Retrieval Improves Planning Language Generation ↗