3. Let Σ₁ be the language over the alphabet {a}, Σ₂ be the language over the alphabet (a, b) and N be the set of natural numbers. Using a bijective function, • prove that | ₁* | = |N|. • prove that | ₂* | = |N|.
3. Let Σ₁ be the language over the alphabet {a}, Σ₂ be the language over the alphabet (a, b) and N be the set of natural numbers. Using a bijective function, • prove that | ₁* | = |N|. • prove that | ₂* | = |N|.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.1: Postulates For The Integers (optional)
Problem 12E: Let A be a set of integers closed under subtraction. a. Prove that if A is nonempty, then 0 is in A....
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