3.Find the results of the following substitutions. Just give the answer and explain thereasons if the result is undefined:a) ((\x)(ƒ(x) < 7)[x := 7]b) ((\y)(f(x) < 7)[x := 7]c) ((\x)(\y)(ƒ(7) < g(x, y)))[z := g(y, 7)]d) ((\x)(\y)(ƒ(z) < g(x, y)))[z := g(y, 7)]e) ((\x)(\y)(\z)(ƒ(z) < g(x, y)))[z := g(y, 7)]

The results of the substitutions are: a) Undefinedb) Falsec) Definedd) Definede) Defined It is…

Answered: a) ((\x) (f(x) < 7)[x = 7] b)…

Engineering

Computer Science

a) ((\x) (f(x) < 7)[x = 7] b) ((Vy)(f(x) < 7)[x = 7] [(2'^)b =: 2](((^'x)b> (L)J) (^A) (XA)) (³

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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Concept explainers

Computational Systems

The computation systems can be defined as the systems that are capable of solving a problem that includes calculations either mathematical or logical, and are able to produce the result as an output. For example, a simple calculator that is given a set of numbers and operators as input and produces the result as an output can be defined as a computational system. The above example is a simple illustration only, the computational systems range from simple devices to complex devices such as the systems that control the SpaceX companies, Starlink satellites which are being quite recently seen in the skies at many places globally.

Question

3.
Find the results of the following substitutions. Just give the answer and explain the
reasons if the result is undefined:
a) ((\x)(ƒ(x) < 7)[x := 7]
b) ((\y)(f(x) < 7)[x := 7]
c) ((\x)(\y)(ƒ(7) < g(x, y)))[z := g(y, 7)]
d) ((\x)(\y)(ƒ(z) < g(x, y)))[z := g(y, 7)]
e) ((\x)(\y)(\z)(ƒ(z) < g(x, y)))[z := g(y, 7)]

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(1) {w € [a, b]* : every a in w is immediately preceded and followed by b} Testing strings: &, a, b, aa, ab, ba, bb, bab, aba, bbb, abab, baab, baba, babab The accepted strings are: r U U U U U U U € a O aa ab ba bb bab aba bbb abab baab baba babab
C++ only Example Input14 31 1 1 24 14 23 2Example Output432
8.
(4) {w € [0, 1]* : w does not have 001 as a substring} Testing strings: €, 0, 1, 01, 000, 001, 0001, 0010, 0101, 11000, 110010 The accepted strings are: L U E O 01 000 001 0001 ☐ 0010 0101 11000 110010