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Neuro-Logic Lifelong Learning

arXiv 2511.12793 ↗First posted 16 Nov 2025cs.AI cs.LGcited by 0

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Abstract (arXiv)

Solving Inductive Logic Programming (ILP) problems with neural networks is a key challenge in Neural-Symbolic Ar- tificial Intelligence (AI). While most research has focused on designing novel network architectures for individual prob- lems, less effort has been devoted to exploring new learning paradigms involving a sequence of problems. In this work, we investigate lifelong learning ILP, which leverages the com- positional and transferable nature of logic rules for efficient learning of new problems. We introduce a compositional framework, demonstrating how logic rules acquired from ear- lier tasks can be efficiently reused in subsequent ones, leading to improved scalability and performance. We formalize our approach and empirically evaluate it on sequences of tasks. Experimental results validate the feasibility and advantages of this paradigm, opening new directions for continual learn- ing in Neural-Symbolic AI.

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References · 23

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11 more
  1. 2021Gradient Projection Memory for Continual Learningcited by 348
  2. 2017A simple neural network module for relational reasoningcited by 346
  3. 2019Learn to Grow: A Continual Structure Learning Framework for Overcoming Catastrophic Forgettingcited by 302
  4. 2020Neurosymbolic AI: The 3rd Wavecited by 255
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  6. 2020PDDLGym: Gym Environments from PDDL Problemscited by 45
  7. 2021Neuro-Symbolic Inductive Logic Programming with Logical Neural Networkscited by 36
  8. 2023Neuro-Symbolic Continual Learning: Knowledge, Reasoning Shortcuts and Concept Rehearsalcited by 33
  9. 2019Inductive Logic Programming via Differentiable Deep Neural Logic Networkscited by 25
  10. 2021Neuro-Symbolic Hierarchical Rule Inductioncited by 23
  11. 2018Logical Rule Induction and Theory Learning Using Neural Theorem Provingcited by 13

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