1 Context
This spec defines one function, Nock.
2 Structures
A noun is an atom or a cell. An atom is any
unsigned integer. A cell is an ordered pair of
any two nouns.
3 Pseudocode
Brackets enclose cells. [a b c] is [a [b c]].
*a is Nock(a). Reductions match top-down.
4 Reductions
?[a b] => 0
?a => 1
^[a b] => ^[a b]
^a => (a + 1)
=[a a] => 0
=[a b] => 1
=a => =a
/[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 => /a
*[a 0 b] => /[b a]
*[a 1 b] => b
*[a 2 b c d] => *[a 3 [0 1] 3 [1 c d] [1 0]
3 [1 2 3] [1 0] 5 5 b]
*[a 3 b] => **[a b]
*[a 4 b] => ?*[a b]
*[a 5 b] => ^*[a b]
*[a 6 b] => =*[a b]
*[a [b c] d] => [*[a b c] *[a d]]
*a => *a
