Question

Computer Science

Posted 3 months ago

```
= =
a) Give an example of a string that is neither in the language of R nor in S.
b) Give an example of a string that is in the language of S but not R.
c) Give an example of a string that is in the language of R but not S.
d) Give an example of a string that is in the language of R and S.
e) Design a regular expression that accepts the language of all binary strings with no occurrences of 001.
f) Design a regular expression that accepts the language of all binary strings which their length is odd with no occurrences of 11.
```

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Answer from Sia

Posted 3 months ago

A

Key Concept

Examples of strings in formal languages

Explanation

To provide an example of a string that is neither in the language of R nor in S, one must understand the definitions of R and S and choose a string that does not satisfy either regular expression.

B

Key Concept

Distinguishing between languages

Explanation

To find a string that is in the language of S but not R, one must identify a string that matches the regular expression defining S but not the one defining R.

C

Key Concept

Exclusive language membership

Explanation

Identifying a string that is in the language of R but not S requires understanding the unique aspects of R's regular expression that are not shared by S.

D

Key Concept

Intersection of languages

Explanation

A string that is in both languages R and S must satisfy the regular expressions defining both R and S simultaneously.

E

python

Key Concept

Regular expression design

Explanation

Creating a regular expression for binary strings without "001" involves ensuring that the pattern "001" does not occur in any part of the string.

F

python

Key Concept

Regular expression constraints

Explanation

Designing a regular expression for binary strings with odd length and no "11" requires the string to have an odd number of characters and to avoid the consecutive "11" pattern.

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