hws/hw01.tex
changeset 438 84608b4b3578
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437:fe387fcbf2ee 438:84608b4b3578
    48 
    48 
    49 \item How is the power of a language defined? (Hint: There are two
    49 \item How is the power of a language defined? (Hint: There are two
    50   rules, one for $\_^0$ and one for $\_^{n+1}$.)
    50   rules, one for $\_^0$ and one for $\_^{n+1}$.)
    51 
    51 
    52 \item Let $A = \{[a], [b], [c], [d]\}$. (1) How many strings
    52 \item Let $A = \{[a], [b], [c], [d]\}$. (1) How many strings
    53       are in $A^4$? (2) Consider the case of $A^4$ where one of
    53       are in $A^4$? (2) Consider also the case of $A^4$ where one of
    54       the strings in $A$ is the empty string, for example $A =
    54       the strings in $A$ is the empty string, for example $A =
    55       \{[a], [b], [c], []\}$.
    55       \{[a], [b], [c], []\}$.
    56 
    56 
    57 \item How many basic regular expressions are there to match
    57 \item How many basic regular expressions are there to match
    58       the string $abcd$? (ii) How many if they cannot include
    58       the string $abcd$? (ii) How many if they cannot include