Learning meets logic

Neuro-Symbolic
Large Foundation Model.

Bridging large models with symbolic reasoning for faithful, interpretable intelligence.

Large language models Formal reasoning Multimodal intelligence
Neural learning and symbolic reasoning NEURAL × SYMBOLIC

Research / Our approach

Why Neuro-Symbolic in the Era of LLMs?

Large language models (LLMs) and multimodal large language models (MLLMs) have unlocked impressive reasoning ability. However, when tasks demand precise logical guarantees, explicit structure, or reliable multi-step deduction, purely neural approaches often fall short. Their reasoning can be fluent yet brittle: explanations may sound convincing while quietly violating basic logical constraints.

Neuro-symbolic approaches aim to close this gap by coupling LLMs with symbolic representations and reasoning procedures. Symbolic reasoning enables compositionality, support program-like manipulation of knowledge, and good traceability and interpretability. Neural models, in turn, offer strong capabilities in learning, perception, and pattern discovery. When combined, they allow us to:

  • Improve faithfulness: Reasoning steps can be tractable and verifiable, thus enabling faithful reasoning.
  • Enhance interpretability: Symbolic traces and proofs provide human-inspectable explanations.
  • Enable compositional generalization: Logic and constraints naturally capture reusable structures and rules.
  • Support robustness & safety: Formal checks help enforce invariants in high-stakes scenarios.
  • Extend beyond text: In multimodal settings, symbols provide a common reasoning layer over images, text, and other signals.

This page collects a set of Neuro-Symbolic Large Foundation Model projects—covering both symbolic-guided LLM reasoning and multimodal symbolic reasoning—that explore these ideas in different settings and benchmarks.

Research / Selected work

Projects

From symbolic-guided language models to multimodal logical reasoning.

01 / Language & logic

Symbolic-guided LLMs

Symbolic structures and logical rules guide language model reasoning toward more faithful, controllable, and interpretable decisions.

SymbCoT method overview

Symbolic-guided LLMs ACL 2024

SymbCoT

Faithful Logical Reasoning via Symbolic Chain-of-Thought

Fully LLM-based neuro-symbolic reasoning that lifts chain-of-thought into the symbolic space, combining natural language with explicit logic rules and verification.

Explore project
Aristotle method overview

Symbolic-guided LLMs ACL 2025 · Oral

Aristotle

Mastering Logical Reasoning with a Logic-Complete Decompose–Search–Resolve Framework

A decompose–search–resolve framework that uses symbolic expressions and logical rules for logic-complete reasoning, improving accuracy and efficiency.

Explore project
LogicReward method overview

Symbolic-guided LLMs ICLR 2026

LogicReward

Incentivizing LLM Reasoning via Step-Wise Logical Supervision

Step-level, symbolically guided rewards for natural language reasoning, enabling better reasoning, generalizability, and faithfulness.

Explore project

02 / Vision & logic

Multimodal Symbolic Reasoning

Extending symbolic reasoning beyond text, grounding logical rules in images and other modalities to assess and improve multimodal reasoning.

MuSLR method overview

Multimodal symbolic reasoning NeurIPS 2025

MuSLR

Multimodal Symbolic Logical Reasoning

A multimodal symbolic reasoning benchmark grounded in formal logical rules, together with LogiCAM, a framework for improving the reasoning ability of multimodal large models.

Explore project

Community / AAAI 2027

Workshop

NeSy-FM

Neuro-Symbolic AI in Large Foundation Models

Bringing together researchers exploring how foundation models and symbolic AI can build more reliable, verifiable, trustworthy, and generalizable systems.

Visit workshop website

Connect / Collaborate

Let’s reason together.

Interested in these projects? Contact Jundong Xu to discuss research ideas and potential collaborations.