Q1. step B-reduce below untyped A-terms to their normal form. Clearly demonstrate every single reduction a) ((aF. Ax.fffx)f)((\f. Ax.fffx)f) b) (Au. Aw. Af. Ax. w (uf)x))(\f. Ax.ffffffx)(Af. Ax.f x) c) (YF) 4 where F := Af.Ax. (if x == 0 then 0 else x+f(x- 1)) y := Af.(Ax.ƒ(xx))(Ax.f (xx)).

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Please show every single reduction step clearly!!!!

Q1.
B-reduce below untyped A-terms to their normal form. Clearly demonstrate every single reduction
step
((Af. Ax.fffx)f)((af. Ax.fffx)f)
(Au. Aw. Af. Ax. w(uf)x))(\f. Xx.ffffffx)(\f.Xx.fx)
a)
b)
c)
(YF) 4 where
Af. Ax. (if x == 0 then 0 else x+f(x–1))
Af.(Ax.f (xx))(1x.f(xx)).
:=
y :=
Transcribed Image Text:Q1. B-reduce below untyped A-terms to their normal form. Clearly demonstrate every single reduction step ((Af. Ax.fffx)f)((af. Ax.fffx)f) (Au. Aw. Af. Ax. w(uf)x))(\f. Xx.ffffffx)(\f.Xx.fx) a) b) c) (YF) 4 where Af. Ax. (if x == 0 then 0 else x+f(x–1)) Af.(Ax.f (xx))(1x.f(xx)). := y :=
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