Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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1. Let Σ = {0, 1} be an alphabet.
(a) Let w = 101 be a word over Σ. Compute |w|, the length of w.
(b) List all of the words in Σ3

2. Let {a, b, c} be an alphabet. List all of the words in Σ2

3. Let Σ = {a, b} be an alphabet and let · denote concatenation. Compute (ba · ε) · abb,
where ε is the empty word.

4. Let Σ = {0, 1} be an alphabet and let L ⊆ {0, 1} ∗ be the language defined as L = {w ∈ {0, 1} ∗ |w = x10y, x, y ∈ {0, 1}∗}.

(a) Determine whether 01 ∈ L.
(b) Determine whether 0101 ∈ L.


5. Let Σ = {0, 1} be an alphabet and let L ⊆ Σ ∗ be the language consisting of all words
over Σ that contain the substring 10. Construct a DFA that accepts L.

 

Thank you in advance

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As per our guidelines, only 1 question will be answered at a time. So, please repost the remaining questions separately.

Given that,

The language contains the input alphabets  Σ = {0, 1}

 

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