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f = lx.x + x
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1. M = M.
2. (lx.M)N = M {N/x} b-. {N/x} N x .
[ b- , ,
(lx.f(x))(a) = f(a)]
3. lx.M = ly.M {y/x} a-.
{/x} x .
:
M = N; N = M.; M = N, N = P; M = P.; M = N; PM = PN. M = N; MP = NP.; M = N lx.M = lx.N.
b- ( )
(l. + 2)() = + 2, (l. + 2)() = + 2
(l.(l. + 2))()(b) = (l. + 2)(b) = a + 2b, (lx.((ly.xy)u))(lv.v) = (ly.(lv.v)y)u = (lv.v)u
(lx.((ly.xy)u))(lv.v) = (lx.xu)(lv.v) = (lv.v)u, (lx.xx) (lx.xx) = (lx.xx) (lx.xx) = (lx.xx) (lx.xx) =
((lx.x*3) (ly.if y > 4 then e = 2 else x/2) (ly.y>2)) (5) = 2*5 = 10
(ln.(lx.x-n))(2) = lx.x-2, (lf.2*f(8) f(f(8)))(half) = 2*8/2 (8/2)/2 = 6 (half ).
LISP
.
:
car(x) - ;
cdr() - ( );
cons(x,y) - ;
append(x,y) - y x;
.
x = (1, 2, 3) y = (4, 5)
car(x) = (1);
cdr() = (2, 3);
cons(x,y) = ((1, 2, 3), 4, 5);
append(x,y) = (1, 2, 3, 4, 5).
LISP ,
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() º if(x) = nil then 0 else (cdr(x)) + 1
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(A, B, C) = (B, C) + 1
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(nil) = 0
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(x, y) º if x = nil then y else (cdr(x), cons(car(x), y))
(A, B, C, nil) = ((B, C), (A))
((B, C), (A)) = ((C), (B, A))
((C), (B, A)) = ((nil), C, B, A)
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(/+)○(α*)○: <<1,6>>, <<2,5>>, <<3,4>>
(/+):<<6,10,12>>
□:28
APL
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