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This paper addresses the critical reliability challenge in chaining LLM calls by introducing PPDL, a probabilistic language framework designed to quantify and propagate uncertainty throughout complex application flows. By enabling developers to experiment with inference scaling techniques without altering core logic, it offers a practical path toward building more trustworthy AI agents, as demonstrated in its theorem proving case study.
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PPDL: LLM-Based Flows as Probabilistic Programs

arXiv2 min read

arXiv:2608.05234v1 Announce Type: new Abstract: Building reliable applications that leverage large language models (LLMs) remains a significant challenge. While LLMs offer impressive capabilities across diverse tasks, their outputs often lack accuracy and provide no clear measure of confidence. This uncertainty compounds in flows of multiple calls to LLMs and other tools, making it difficult for developers and end-users to trust the results. This paper introduces a probabilistic language for programming LLM-based flows. It enables developers to quantify and propagate uncertainty throughout the application's flow, and experiment with different inference scaling techniques without adding a single line of code beyond the flow's logic. We present an experimental study to demonstrate this capability, and a case study building a theorem proving agent for the Rocq theorem prover.

Abstract:Building reliable applications that leverage large language models (LLMs) remains a significant challenge. While LLMs offer impressive capabilities across diverse tasks, their outputs often lack accuracy and provide no clear measure of confidence. This uncertainty compounds in flows of multiple calls to LLMs and other tools, making it difficult for developers and end-users to trust the results. This paper introduces a probabilistic language for programming LLM-based flows. It enables developers to quantify and propagate uncertainty throughout the application's flow, and experiment with different inference scaling techniques without adding a single line of code beyond the flow's logic. We present an experimental study to demonstrate this capability, and a case study building a theorem proving agent for the Rocq theorem prover.

Machine Learning (cs.LG); Programming Languages (cs.PL)

arXiv:2608.05234 [cs.LG]

(or arXiv:2608.05234v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2608.05234 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 217 words

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