1
0
mirror of https://github.com/ilyakooo0/urbit.git synced 2024-12-22 06:11:31 +03:00
urbit/doc/spec/nock/6.txt
Joe Bryan 4815215eb9 Revert "removing old Nock specs"
This reverts commit ab7a1bf564.
2022-11-30 12:55:16 -05:00

43 lines
981 B
Plaintext

1 Structures
A noun is an atom or a cell. An atom is any natural number.
A cell is an ordered pair of nouns.
2 Reductions
nock(a) *a
[a b c] [a [b c]]
?[a b] 0
?a 1
+a 1 + a
=[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 [[0 1] b] c]
*[a 9 b c] *[a 7 c 0 b]
*[a 10 b c] *[a c]
*[a 10 [b c] d] *[a 8 c 7 [0 2] d]
+[a b] +[a b]
=a =a
/a /a
*a *a