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[https://combinatorylogic.com/ Combinators ]are an advanced concept. But z^3 makes it simple.
[https://combinatorylogic.com/ Combinators ]are an advanced concept. But z^3 makes it simple.
Different combinators combine functions in combinations that can express interesting logic. See more examples at: [https://combinatorylogic.com/table.html]. Examples below.
<pre>
B = a => b => c => a(b(c))
B1 = a => b => c => d => a(b(c)(d))
B2 = a => b => c => d => e => a(b(c)(d)(e))
B3 = a => b => c => d => a(b(c(d)))
C = a => b => c => a(c)(b)
C_ = a => b => c => d => a(b)(d)(c)
C__ = a => b => c => d => e => a(b)(c)(e)(d)
D = a => b => c => d => a(b)(c(d))
D1 = a => b => c => d => e => a(b)(c)(d(e))
D2 = a => b => c => d => e => a(b(c))(d(e))
E = a => b => c => d => e => a(b)(c(d)(e))
F = a => b => c => c(b)(a)
F_ = a => b => c => d => a(d)(c)(b)
F__ = a => b => c => d => e => a(b)(e)(d)(c)
G = a => b => c => d => a(d)(b(c))
H = a => b => c => a(b)(c)(b)
I = a => a
I_ = a => b => a(b)
I__ = a => b => c => a(b)(c)
J = a => b => c => d => a(b)(a(d)(c))
K = a => b => a
L = a => b => a(b(b))
M = a => a(a)
M2 = a => b => a(b)(a(b))
O = a => b => b(a(b))
Q = a => b => c => b(a(c))
Q1 = a => b => c => a(c(b))
Q2 = a => b => c => b(c(a))
Q3 = a => b => c => c(a(b))
Q4 = a => b => c => c(b(a))
R = a => b => c => b(c)(a)
R_ = a => b => c => d => a(c)(d)(b)
R__ = a => b => c => d => e => a(b)(d)(e)(c)
S = a => b => c => a(c)(b(c))
T = a => b => b(a)
U = a => b => b(a(a)(b))
V = a => b => c => c(a)(b)
V_ = a => b => c => d => a(c)(b)(d)
V__ = a => b => c => d => e => a(b)(e)(c)(d)
W = a => b => a(b)(b)
W_ = a => b => c => a(b)(c)(c)
W__ = a => b => c => d => a(b)(c)(d)(d)
W1 = a => b => b(a)(a)
Y = a => (b => b(b))(b => a(c => b(b)(c)))
</pre>