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About this paper

Abhijit Paul

Abhijit Paul from the University of Dhaka introduces the 𝜆Prompt calculus to formalize prompt programming, which leverages type systems to define and enforce constraints on Large Language Model interactions. This framework aims to enhance the reliability and maintainability of LLM-integrated software by providing a theoretical basis for structured, verifiable prompt components.

Key insights

  • A widespread, albeit implicit, adoption of type systems in recent prompt programming frameworks (2023-2025) indicates a critical need for structured and reliable LLM interfaces.
  • Formalizing prompt programs with dependently typed interfaces and explicit constraints transforms prompt engineering into a principled, verifiable discipline.
  • Semantic constraints, such as ensuring a specific tone or adherence to a domain, are crucial for robust LLM behavior and can be effectively encoded as probabilistic type refinements, moving beyond purely syntactic checks.

Summary by alphaXiv.

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