3 Question about RegEx,DFA

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Suppose you were modifying the Java compiler to include a new encryptedd

keyword that causes Java to store the contents of the specified variable in encrypted form.

E.g.,

encrypted String password = “hello”;

would cause the contents of password to be encrypted.

Which of the phases of the Java compiler would need to be modified and why?

2. For each of the following languages give the regular expression that matches the strings in

the language. Note: You can use . to denote “any” character in the alphabet.

(a) [5 marks] The language, over the English alphabet, of strings that begin and end with

vowels (assume ’y’ is a vowel).

(b) [5 marks] The language of strings, over alphabet Σ = {x,y,z}, whose length is divisible

by 5. E.g., xyzyx.

(c) [5 marks] The language, over the alphabet of decimal digits, of strings that represent

integers divisible by 200. E.g., 13400.

(d) [5 marks] The language of strings over the alphabet Σ = {a,b,c} that do not contain

the substring ac. E.g., abcab.

3. For each of the following languages, give a DFA (graphical representation) that recognizes

the language.

(a) [5 marks] The language of all strings over the alphabet Σ = {x,y,z} that end in either

xx or yy. E.g., xyzyxzxx.

(b) [5 marks] The language of words over the alphabet Σ = {a}, whose length is not

divisible by 4. E.g., aaa.

(c) [5 marks] The language, of trinary strings (Σ = {0,1,2}) such that the sum of the

digits is divisible by 3. E.g., 012102.

please don’t copy answers from Chegg,thx.

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