Fast Growing Hierarchy Calculator | Fixed

To build a Fast-Growing Hierarchy (FGH) calculator, your paper needs to define the mathematical structure for an ordinal-indexed family of functions

Conclusion

Technical Considerations

  • Recursion depth limits: Use iterative stack expansion, not naive recursion.
  • Ordinal arithmetic engine: Implement CNF addition/multiplication/exponentiation.
  • Fundamental sequence library:

    Small Ordinals (0, 1, 2):

    print(fgh(2, 3)) # Output: 24 print(fgh('w', 2)) # Output: fgh(2,2) = 8 fast growing hierarchy calculator