Fast Growing Hierarchy Calculator Work Jun 2026

Building an FGH calculator is not like building a standard arithmetic calculator. You cannot simply store numbers as 64-bit integers. The output for ( f_\omega+1(10) ) is so astronomically large that even representing its logarithm would overflow memory. Therefore, a real FGH calculator must operate in one of three modes:

Even for ( n=3 ), the recursion tree is enormous. A naive implementation will crash due to stack overflow or infinite loops. Thus, memoization and tail recursion are mandatory. fast growing hierarchy calculator