5. Define a set S recursively as follows: I. BASE: 1 ES II. RECURSION: If s E S, then a. Os Є S b. 1s Є S III. RESTRICTION: Nothing is in S other than objects defined in I and II above. Use structural induction to prove that every string in S ends in a 1. 6. Define a set S recursively as follows: I. BASE: a ES II. RECURSION: If s E S, then, a. sa E S b. sb Є S III. RESTRICTION: Nothing is in S other than objects defined in I and II above. Use structural induction to prove that every string in S begins with an a.
5. Define a set S recursively as follows: I. BASE: 1 ES II. RECURSION: If s E S, then a. Os Є S b. 1s Є S III. RESTRICTION: Nothing is in S other than objects defined in I and II above. Use structural induction to prove that every string in S ends in a 1. 6. Define a set S recursively as follows: I. BASE: a ES II. RECURSION: If s E S, then, a. sa E S b. sb Є S III. RESTRICTION: Nothing is in S other than objects defined in I and II above. Use structural induction to prove that every string in S begins with an a.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Need help with number 6 please
Transcribed Image Text:5. Define a set S recursively as follows:
I. BASE: 1 ES
II. RECURSION: If s E S, then
a. Os Є S
b. 1s Є S
III. RESTRICTION: Nothing is in S other than objects
defined in I and II above.
Use structural induction to prove that every string in S ends
in a 1.
6. Define a set S recursively as follows:
I. BASE: a ES
II. RECURSION: If s E S, then,
a. sa E S
b. sb Є S
III. RESTRICTION: Nothing is in S other than objects
defined in I and II above.
Use structural induction to prove that every string in S
begins with an a.
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