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Chapter 0: Q22E (page 1)

In certain programming languages, comments appear between delimiters such as #and #/. Let Cbe the language of all valid delimited comment strings. A member of Cmust begin with #/and end with #/but have no intervening #/. For simplicity, assume that the alphabet for Cis 鈭�={a,b,/,#}.

a. Give aDFA that recognizes C.

b. Give a regular expression that generates C.

Short Answer

Expert verified

Evaluate all acceptable restricted commented strings inside the language .

Step by step solution

01

Introduction

Evaluate all acceptable restricted commented strings inside the language C .

鈥� A member of C must start with '/#'and conclude with #/'no '#/' in between.

鈥� C is represented by the letters a,b,I,and#.

02

Explanation for (A)

Let M stand for the DFA that understands the language C .

M's state diagram looks like this:

So, here are the DFA that identify the languages of C.

03

Explanation for (B)

The regular expression that creates language is C.

/#(a+b+\)*#(#+(a+b)(a+b+i)*#)*/

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Most popular questions from this chapter

Let

A/B={w|wx鈭�aAforsomex鈭�B}Show that ifAis context free andBis regular, thenA/Bis context free

Let A=L(G1)where is defined in Problem 2.55. Show that A is not a DCFL. (Hint: Assume that A is a DCFL and consider its DPDA P . Modify P so that its input alphabet is {a,b,c}. When it first enters an accept state, it pretends that c's are b's in the input from that point on. What language would the modified P accept?)

Show that for any two languages AandB , a language J exists, where A鈮�TJandB鈮�TJ.

If Ahasa elements andB hasb elements, how many elements are inA脳B? Explain your answer.

Let CFG Gbe thefollowing grammar.

S鈫�aSbbYYaY鈫�bYaY蔚

Give a simple description of LGin English. Use that description to give a CFG forLG , the complement of LG.
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