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