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Inductive Program Synthesis by Meta-Analysis-Guided Hole Filling

Talkat POPL 2026 · 2026-01-11..01-17· [compilers-and-language-design]
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Paper proposes a lightweight meta-analysis, feasibility square analysis, that predicts when forward/backward abstract interpretation will prune a partial program and ranks holes into three evidence tiers to choose the next hole to fill. Implementations add new forward/backward string operators (prefix/suffix+length), multihole simultaneous filling and incremental analysis for bitvectors and strings. The system proves soundness and an admissibility guarantee, measures a small overhead, and outperforms prior engines, uniquely solving 76 benchmarks and lowering cumulative solve time.

AI-written summary · about

  1. 0:00Inductive program synthesis intro
  2. 0:45What inductive synthesis solves
  3. 1:50Role of holes in synthesis
  4. 3:17Why hole filling order matters
  5. 4:00Racer and booster analogy
  6. 5:26Feasibility square analysis intro
  7. 7:10Performance vs state-of-the-art
  8. 7:35Key results and solutions
  9. 7:55Main idea behind feasibility analysis
  10. 9:01Observations from analysis
  11. 10:26How feasibility analysis works
  12. 12:36Recommending hole order
  13. 14:06Admissibility guarantee
  14. 15:32Why feasibility analysis works
  15. 16:55Formal guarantees
  16. 17:19Adapting to synthesizers
  17. 17:42Ablation study and overhead
  18. 18:26Conclusion
  19. 18:47Q&A
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