LLMs versus the Halting Problem: Revisiting Program Termination Prediction
📰 ArXiv cs.AI
Researchers revisit program termination prediction using LLMs in the context of the Halting Problem, a fundamental undecidable problem in computer science
Action Steps
- Understand the Halting Problem and its undecidability
- Explore how LLMs can be applied to approximate program termination prediction
- Analyze the limitations and potential of LLMs in this context
- Investigate how LLMs can be integrated with existing verification tools to improve termination analysis
Who Needs to Know This
This research benefits software engineers and AI researchers working on program verification and termination analysis, as it explores the potential of LLMs in tackling this complex problem
Key Insight
💡 LLMs may offer a new approach to approximating program termination prediction, but their limitations and potential must be carefully evaluated
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🤖 LLMs take on the Halting Problem: can they improve program termination prediction? 🚀
Key Takeaways
Researchers revisit program termination prediction using LLMs in the context of the Halting Problem, a fundamental undecidable problem in computer science
Full Article
Title: LLMs versus the Halting Problem: Revisiting Program Termination Prediction
Abstract:
arXiv:2601.18987v4 Announce Type: replace-cross Abstract: Determining whether a program terminates is a central problem in computer science. Turing's foundational result established the Halting Problem as undecidable, showing that no algorithm can universally determine termination for all programs and inputs. Consequently, automatic verification tools approximate termination, sometimes failing to prove or disprove; these tools rely on problem-specific architectures, and are usually tied to parti
Abstract:
arXiv:2601.18987v4 Announce Type: replace-cross Abstract: Determining whether a program terminates is a central problem in computer science. Turing's foundational result established the Halting Problem as undecidable, showing that no algorithm can universally determine termination for all programs and inputs. Consequently, automatic verification tools approximate termination, sometimes failing to prove or disprove; these tools rely on problem-specific architectures, and are usually tied to parti
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