User:Googleaarex/FGH Notation

Number Notation
Target: \(\omega\)

Reaching \(\omega\)
FGH(a,0) = a+1

FGH(a+b,0) = a+(b+1)

FGH(@,0) = @+1

FGH(1,@-1) = FGH(1,@) = 1

FGH(FGH(2,0),0) = FGH(2,1) = 4

FGH(@,@,n+1) = FGH(FGH(@,@,n),n-1)

FGH(@,@,1) = FGH(@,@-1)

FGH(n,m) = FGH(n,m,n)

Rules of Number Notation
1. FGH(Any,0,Any) = Any+1

2. FGH(n,@) = FGH(n,@,n)

3. FGH(Any,n+1@,1) = FGH(Any,n@)

4. FGH(Any,n+1@,m+1) = FGH(FGH(Any,n+1@,m),n)

Bracket Notation
Target: \(\varepsilon_0\)

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