class Ordinal: pass
Before we can calculate, we must understand. The Fast Growing Hierarchy is a family of functions indexed by ordinals, typically denoted as ( f_\alpha(n) ), where ( \alpha ) is a countable ordinal and ( n ) is a natural number. fast growing hierarchy calculator high quality
Some advanced calculators even support or Rathjen’s psi function . class Ordinal: pass Before we can calculate, we
| Requirement | Status for high‑quality impl | | --- | --- | | Handle α=0 | ✔ | | Handle successor α | ✔ | | Handle limit α | ✔ (needs correct fundamental seq) | | Handle n=0 | Decide (0 or 1) | | Prevent infinite recursion | ✔ by limiting α descent | | Show exact results for small n | ✔ | | Show approx for large n | ✔ (Knuth up‑arrows, Hyper‑E) | | Accept CNF string input | ✔ | | Output in readable ordinal notation | ✔ | | Unit tests: f_ω(3)=8, f_ω+1(3)=2048 etc. | ✔ | | Requirement | Status for high‑quality impl |