Created
August 16, 2012 12:42
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SKIコンビネータ
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| inc := \nfx.f(nfx) | |
| inc | |
| = \xyz.y(xyz) | |
| = \xyz.(Ky z)(xy z) | |
| = \xyz.S(Ky)(xy)z | |
| = \xy.S(Ky)(xy) | |
| = \xy.((KSy)(Ky))(xy) | |
| = \xy.(S(KS)Ky)(xy) | |
| = \xy.S(S(KS)K)xy | |
| = S(S(KS)K) | |
| add := \mnfx.mf(nfx) | |
| add | |
| = \xyzw.xz(yzw) | |
| = \xyzw.(K(xz)w)(yzw) | |
| = \xyzw.S(K xz)(yz)w | |
| = \xyz.S(K xz)(yz) | |
| = \xyz.(KSz)(Kx z)(yz) | |
| = \xyz.(S(KS)(Kx)z)(yz) | |
| = \xyz.S(S(KS)(Kx))yz | |
| = \x.S(S(KS)(Kx)) | |
| = \x.S((K(S(KS))x)(Kx)) | |
| = \x.S(S(K(S(KS)))Kx) | |
| = \x.(KSx)(S(K(S(KS)))Kx) | |
| = \x.S(KS)((S(K(S(KS)))K))x | |
| = S(KS)(S(K(S(KS)))K) |
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