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Ignore my selections & explain your selections. Thanks! A regular expression is

ID: 3790458 • Letter: I

Question

Ignore my selections & explain your selections. Thanks!

A regular expression is production if it does not contain the symbol theta anywhere in the expression. Call the complexity of a regular expression R, C(R), to be the number of operators appearing in the expression. For example, C (a Union a) = 1, c ((a Union b) *) = 2. My friend thinks that If R is a productive regular expression, then there exists a W Element L (R) with |w| lessthanorequalto c (R) + 1. Is my friend correct? My friend is correct because the number of operators is guaranteeing the length of the string being in the language of the expression, so adding 1 to C(R) still has the claim being true. My friend is correct because we can look at each part of the definition of regular expressions and define C(R) inductively in terms of those. My friend is not correct because there are examples of regular expressions where it is only true that |w| lessthanorequalto 2 times C(R), and cannot guarantee any less. My friend is not correct because it Is not true for productive regular expressions, in that the symbol theta must be used. The value of c (R) depends on the regular expression.

Explanation / Answer

From the options :

My friend is correct because the number if operations guranteeing the length of the string being in the language of expression.

Option a is correct choice..