mlsanityData to 7 Oct 2026

Symmetry breaking for inductive logic programming

arXiv 2508.06263 ↗First posted 8 Aug 2025cs.AI cs.LGcited by 0

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Abstract (arXiv)

The goal of inductive logic programming is to search for a hypothesis that generalises training data and background knowledge. The challenge is searching vast hypothesis spaces, which is exacerbated because many logically equivalent hypotheses exist. To address this challenge, we introduce a method to break symmetries in the hypothesis space. We implement our idea in answer set programming. Our experiments on multiple domains, including visual reasoning and game playing, show that our approach can reduce solving times from over an hour to just 17 seconds.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 14 of its 52 references that are in the map. First posted on arXiv 8 Aug 2025.

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14 of 52 references.

References · 14

  1. 2017Multi-shot ASP solving with clingocited by 115
  2. 2020Inductive logic programming at 30: a new introductioncited by 83
  3. 2020Learning programs by learning from failurescited by 73
  4. 2019Making sense of sensory inputcited by 29
  5. 2019Inductive general game playingcited by 18
  6. 2023Learning MDL logic programs from noisy datacited by 15
  7. 2021Learning Higher-Order Programs without Meta-Interpretive Learningcited by 14
  8. 2016On Local Domain Symmetry for Model Expansioncited by 7
  9. 2022Learning logic programs by combining programscited by 7
  10. 2024Towards Probabilistic Inductive Logic Programming with Neurosymbolic Inference and Relaxationcited by 5
  11. 2021Lifting Symmetry Breaking Constraints with Inductive Logic Programmingcited by 4
  12. 2022Learning logic programs by discovering where not to searchcited by 4
2 more
  1. 2016BreakID: Static Symmetry Breaking for ASP (System Description)cited by 3
  2. 2024satsuma: Structure-based Symmetry Breaking in SATcited by 3

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  1. 2025Honey, I shrunk the hypothesis space (through logical preprocessing)
  2. 2025Efficient rule induction by ignoring pointless rules
  3. 2025Satisfiability Modulo Theory Meets Inductive Logic Programming
  4. 2025Hypothesis Generation via LLM-Automated Language Bias for ILP
  5. 2025Symbolic Snapshot Ensembles
  6. 2023Hypothesis Search: Inductive Reasoning with Language Models
  7. 2025InductionBench: LLMs Fail in the Simplest Complexity Class
  8. 2026Pretrain on Small Synthetic Data, Scale Large for Free: Symmetry-Aware Foundation Model for Logic Rule Induction