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fariedabuzaid merged 1 commit into from
Jun 25, 2025
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Update README.md #23

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8 changes: 4 additions & 4 deletions README.md
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Original file line number Diff line number Diff line change
Expand Up @@ -250,11 +250,11 @@ print(f"Remaining infinite set: {remaining.automaton}")
#### Practical Guidelines:
1. **Prefer Deep/Narrow Formulas**
```python
# Width=3 (hard):
wide = "∃x.∃y.∃z.Prime(x)∧Prime(y)∧Twin(x,y,z)"
# Width=3 :
wide = "∃x.∃y.∃z.E(x,y) ∧ E(y, z)"

# Depth=3 (easier):
narrow = "∃x.Prime(x) ∧ (∃y.Prime(y) ∧ (∃z.Twin(x,y,z))"
# width=2 (easier):
narrow = "∃x.∃y.E(x,y) ∧ (∃z.E(y,z))"
```
- Depth scales often better due to incremental minimization
- Width causes exponential alphabet growth: $|\Sigma|^k$
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