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Nitpicky edit to Nock was wrong. Reverting, but changing formatting for clarity. Nock 5K now at 353 bytes.
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1 Structures
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A noun is an atom or a cell. An atom is a natural number.
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A cell is an ordered pair of nouns.
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A noun is an atom or a cell. An atom is any natural number.
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A cell is an ordered pair of nouns.
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nock(a) *a
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[a b c] [a [b c]]
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2 Reductions
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?[a b] 0
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?a 1
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+[a b] +[a b]
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+a 1 + a
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=[a a] 0
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=[a b] 1
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=a =a
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nock(a) *a
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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 /a
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?[a b] 0
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?a 1
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+[a b] +[a b]
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+a 1 + a
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=[a a] 0
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=[a b] 1
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=a =a
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*[a [[b c] d]] [*[a b c] *[a d]]
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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 /a
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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 [b c] d] [*[a b c] *[a d]]
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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 [0 1] b] 0 1] c]
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*[a [9 [b c]]] *[a 7 c 2 [0 1] 0 b]
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*[a [10 [[b c] d]]] *[a 8 c 7 [0 3] d]
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*[a [10 [b c]]] *[a c]
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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 [0 1] b] 0 1] c]
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*[a 9 b c] *[a 7 c 2 [0 1] 0 b]
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*[a 10 [b c] d] *[a 8 c 7 [0 3] d]
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*[a 10 b c] *[a c]
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[a b c] [a [b c]]
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*a *a
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*a *a
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