Paper Overview
- Field: NLP
- Author: Leslie G. Valiant
- Published: 2026-05-17
- arXiv: 2505.12353
- Bridges the gap between principled text *generation* and principled trust in text *content*.
- Two-stage pipeline: relational recoding (Integracode) + standard ML that also learns relations.
- Learning core relational rules is provably polynomial-time, scaling with rule complexity.
- Designed to be efficient and compatible with existing LLM software/hardware stacks.
- Extends naturally to multimodal world modeling (vision, action).
Abstract (Translated)
In current Large Language Models we can trust the production of smoothly flowing prose on the basis of the principles of machine learning. However, there is no comparably principled basis to justify trust in the content of the text produced. It appears to be conventional wisdom that addressing this issue by adding more principled reasoning is not computationally affordable.
This paper proposes a principled method of reasoning that is efficient enough to be practical for large language models. Further, the method allows the retention of much of the currently used software and hardware base.
The approach consists of a first stage of preprocessing that recodes the data to a Unary Relational Integracode that is more explicit about the relationships among the objects described in the text. A second stage applies a standard, though possibly slimmed-down, machine learning process, which also learns to predict these relations.
The method can be viewed as realizing a world model, and applies beyond natural language—for example to vision and action—where multiple properties of objects mentioned in the input are explicitly pooled together rather than scattered across various references in the input.
The advantages are articulated in the form of robust logic, a system for the principled chaining of learned, and hence uncertain, information. A surprisingly fortunate property of this recoding is shown: while succinct, it makes the task of learning a core subset of relational rules holding in the world described by the training data polynomial-time learnable in a well-defined sense, with the polynomial depending on the complexity of the rules. This provides support for principled reasoning both within each individual invocation of a learned classifier and across multiple invocations.