Regular expressions and FSAs

In summary, regular expressions and finite state automata (FSAs) are tools used for pattern recognition in computer science and linguistics. Regular expressions are textual representations of patterns, while FSAs are abstract machines used to check if a given string matches a regular expression. They are useful for various tasks such as searching and manipulating text, validating input, and creating parsers. However, they have limitations in handling certain types of patterns. Common mistakes when using regular expressions and FSAs include incorrect syntax, not accounting for all possible cases, and not thoroughly testing the pattern before use.
  • #1
EvLer
458
0
How do I approach this problem?
give a regular expression for a set containing strings consisting of 0s and 1s where numbr of zeroes is odd...
thanks

ps: I have tried it with Kleene's theorem, but there is so many possibilities that i get lost
 
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  • #2
What does FSA stand for? finite state automaton?

The way to do this is to break it up into
1. A single block that contains one 0 and otherwise contains 1's
2. Some number of blocks that contain two zeros each and otherwise contain 1's
 
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What are regular expressions and finite state automata (FSAs)?

Regular expressions and finite state automata (FSAs) are tools used in computer science and linguistics to represent and recognize patterns in strings of characters. Regular expressions are textual representations of patterns, while FSAs are abstract machines that can be used to check if a given string matches a regular expression.

How are regular expressions and FSAs useful?

Regular expressions and FSAs are useful for tasks such as searching and manipulating text, validating input, and creating parsers for programming languages and other structured data. They are also used in natural language processing and other fields where pattern recognition is important.

What is the difference between a regular expression and an FSA?

A regular expression is a textual representation of a pattern, while an FSA is an abstract machine that can be used to check if a string matches a given regular expression. In other words, a regular expression is a description of a pattern, while an FSA is a tool for applying that pattern to a given string.

Can regular expressions and FSAs handle all types of patterns?

No, regular expressions and FSAs have limitations in their ability to handle certain types of patterns. For example, they cannot handle patterns that require counting, such as "match n consecutive occurrences of a character." However, they are powerful tools for recognizing a wide range of patterns and are widely used in various applications.

Are there any common mistakes when using regular expressions and FSAs?

Yes, some common mistakes when using regular expressions and FSAs include incorrect syntax, not accounting for all possible cases, and not testing the pattern thoroughly. It is important to have a good understanding of the regular expression syntax and to thoroughly test and debug the pattern before using it in a larger application.

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