1 Structures
A noun is an atom or a cell. An atom is any
unsigned integer. A cell is an ordered pair of
nouns.
2 Pseudocode
[a b c] is [a [b c]]; *a is nock(a). Reductions
match top-down.
3 Reductions
?[a b] 0
?a 1
^a (a + 1)
=[a a] 0
=[a b] 1
/[1 a] a
/[2 a b] a
/[3 a b] b
/[(a + a) b] /[2 /[a b]]
/[(a + a + 1) b] /[3 /[a b]]
*[a [b c] d] [*[a b c] *[a d]]
*[a 0 b] /[b a]
*[a 1 b] b
*[a 2 b c] *[*[a b] *[a c]]
*[a 3 b] ?*[a b]
*[a 4 b] ^*[a b]
*[a 5 b] =*[a b]
*[a 6 b c d] *[a 2 [0 1] 2 [1 c d] [1 0]
2 [1 2 3] [1 0] 4 4 b]
*[a 7 b c] *[a 2 b 1 c]
*[a 8 b c] *[a 7 [7 b [0 1]] c]
*[a 9 b c] *[a 8 b 2 [[7 [0 3] d] [0 5]]
0 5]
*[a 10 b c] *[a 8 b 8 [7 [0 3] c] 0 2]
*[a 11 b c] *[a 8 b 7 [0 3] c]
*[a 12 b c] *[a [1 0] 1 c]
^[a b] ^[a b]
=a =a
/a /a
*a *a
