a) For each of the following, apply the a rule as indicated, or state that its application would be illegal. i) (Ax. (Az. + (*xy) z)) change y to u i) (Au. (Av. * u v))(Aw. + w v) change w to u b) Reduce the following expression (Ax. (Ay. (Az. (× (– z 2) y)) 7) x) 3 i) using Normal Order Reduction ii) using Applicative Order Reduction

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
Section: Chapter Questions
Problem 1PE
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Question 6
a) For each of the following, apply the a rule as indicated, or state that its application
would be illegal.
i) (Ax. (Az. + (*xy) z))
change y to u
ii) (Au. (Av. * uv)) (Aw. + wv)
b) Reduce the following expression
(Ax. (Ay. (Az. (x (-z2) y)) 7) x) 3
i) using Normal Order Reduction
ii) using Applicative Order Reduction
change w to u
Transcribed Image Text:Question 6 a) For each of the following, apply the a rule as indicated, or state that its application would be illegal. i) (Ax. (Az. + (*xy) z)) change y to u ii) (Au. (Av. * uv)) (Aw. + wv) b) Reduce the following expression (Ax. (Ay. (Az. (x (-z2) y)) 7) x) 3 i) using Normal Order Reduction ii) using Applicative Order Reduction change w to u
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