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Encoding Numeric Computations and Infusing Heuristic Knowledge Using Integrity(…)

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stableKanren implements integrity constraints plus a numeric constraint store to avoid grounding all numbers and encode arithmetic as verifiers, not impure operators. The demo encodes SEND+MORE=MONEY as emitters and verifiers, initially taking over an hour for a query; reordering variables cuts a single-solution time to ~3s (exhaustive ~5,000s), breaking constraints and identifying critical emitters drops single-solution time to ~0.45s (exhaustive ~300s), and a hybrid oracle verifier further cuts search to a few seconds.

AI-written summary · about

  1. 0:00Encoding numeric computations
  2. 2:55Relational programming symbols
  3. 4:23Challenges in numeric computations
  4. 6:27Approaches for numeric support
  5. 8:29Constraint stores for relations
  6. 10:16Variable vs integrity constraints
  7. 13:09Generating combinations with integrity
  8. 17:21Implementing integrity in Stable Car
  9. 19:07Defining arithmetic in Stable Car
  10. 20:30Send more money puzzle
  11. 22:17Heuristic knowledge infusion
  12. 23:00Variable reordering
  13. 24:05Breaking constraints
  14. 24:46Oracle verifiers hybrid
  15. 25:30Conclusion
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