1) Assume ∑ = {a, b}, construct a DFA to recognize: {w | number of a's...
1) Assume ∑ = {a, b}, construct a DFA to recognize: {w | number of a's in w ≥ 2 and number of b's in w ≤ 1}. (seven states)
2) Assume ∑ = {a, b}, construct a DFA to recognize: {w || w | ≥ 2, second to the last symbol of w is b}. (four states)
3) Write a regular expression for: All bit strings that contain at least three 1's.
Homework Answers
Add Answer to:
1) Assume ∑ = {a, b}, construct a DFA to recognize: {w | number
of a's...
1. Construct a DFSM to accept the language: L = {w € {a,b}*: w contains at...
1. Construct a DFSM to accept the language: L = {w € {a,b}*: w contains at least 3 a's and no more than 3 b's} 2. Let acgt} and let L be the language of strings consisting of repeated copies of the pairs at, ta, cg, gc. Construct both a DFSM to accept the language and a regular expression that represents the language 3. Let a,b. For a string w E ', let W denote the string w with the...
1. Design an NFA (Not DFA) of the following languages. a) Lw E a, b) lw...
1. Design an NFA (Not DFA) of the following languages. a) Lw E a, b) lw contain substring abbaab) b) L- [w E 10,1,2) lsum of digits in w are divisible by three) c) L-(w E {0,1,2)' |The number is divisible by three} d) The language of all strings in which every a (if there are any) is followed immediately by bb. e) The language of all strings containing both aba and bab as substrings. f L w E 0,1every...
1. Construct a DFA that recognizes each of the following languages: a. L1 = {w €...
1. Construct a DFA that recognizes each of the following languages: a. L1 = {w € {a, b}* | w contains at least two a's and at least two b’s} b. L2 = {w € {a,b}* | w does not contain the substring abba} C. L3 = {w € {a, b}* | the length of w is a multiple of 4}
Construct DFA's that recognize the following languages over the alphabet {a,b}: 1. {w|w is any string...
Construct DFA's that recognize the following languages over the alphabet {a,b}: 1. {w|w is any string except abba or aba}. Prove that your DFA recognizes exactly the specified language. 2. {w|w contains a substring either ababb or bbb}. Write the formal description for this DFA too.
1(a)Draw the state diagram for a DFA for accepting the following language over alphabet {0,1}: {w...
1(a)Draw the state diagram for a DFA for accepting the following language over alphabet {0,1}: {w | the length of w is at least 2 and has the same symbol in its 2nd and last positions} (b)Draw the state diagram for an NFA for accepting the following language over alphabet {0,1} (Use as few states as possible): {w | w is of the form 1*(01 ∪ 10*)*} (c)If A is a language with alphabet Σ, the complement of A is...
Regular expressions, DFA, NFA, grammars, languages Regular Languages 4 4 1. Write English descriptions for the...
Regular expressions, DFA, NFA, grammars, languages
Regular Languages 4 4 1. Write English descriptions for the languages generated by the following regular expressions: (a) (01... 9|A|B|C|D|E|F)+(2X) (b) (ab)*(a|ble) 2. Write regular expressions for each of the following. (a) All strings of lowercase letters that begin and end in a. (b) All strings of digits that contain no leading zeros. (c) All strings of digits that represent even numbers. (d) Strings over the alphabet {a,b,c} with an even number of a's....
1.A: Let Sigma be {a,b}. Draw a DFA that will accept the set of all strings...
1.A: Let Sigma be {a,b}. Draw a DFA that will accept the set of all strings x in which the last letter of x occurs exactly twice in a row. That is, this DFA should accept bbabbbaa (because there are two a's at the end), and aaabb (two b's), but should not accept aaa (3 a's in a row, and 3 is not exactly 2), nor single letter words such as 'b', nor baba, etc.
1. Construct a DFSM to accept the language: L w E ab): w contains at least 3 as and no more than 3 bs) 2. Let E (acgt a...
1. Construct a DFSM to accept the language: L w E ab): w contains at least 3 as and no more than 3 bs) 2. Let E (acgt and let L be the language of strings consisting of repeated copies of the pairs at, ta, cg. ge. Construct both a DFSM to accept the language and a regular expression that represents the language. 3. Let ab. For a string w E , let w denote the string w with the...
Suppose the alphabet is sigma = {a, b, ..., z, 0, 1, ..., 9,: }, i.e.,...
Suppose the alphabet is sigma = {a, b, ..., z, 0, 1, ..., 9,: }, i.e., the standard letters a-z, decimal numbers, and colon (: ). The colon is used as a delimiter between fields in a text file. Each line of the file thus corresponds to a string. a) Give a regular expression that accepts strings with four fields (i.e., with 3 delimiters). b) Give a regular expression that accepts strings where the second field is numerical. c) Give...
(20) Let L be the language over {a,b,c} accepting all strings so that: 1. No b's...
(20) Let L be the language over {a,b,c} accepting all strings so that: 1. No b's occur before the first c. 2. No a's occur after the first c. 3. The last symbol of the string is b. 4. Each b that is not the last symbol is immediately followed by at least two c's. 5. There are exactly as many a's as b's. Construct a context-free grammar generating L. You do not need an inductive proof, but you should...
1. Construct a DFSM to accept the language: L = {w € {a,b}*: w contains at least 3 a's and no more than 3 b's} 2. Let acgt} and let L be the language of strings consisting of repeated copies of the pairs at, ta, cg, gc. Construct both a DFSM to accept the language and a regular expression that represents the language 3. Let a,b. For a string w E ', let W denote the string w with the...
1. Design an NFA (Not DFA) of the following languages. a) Lw E a, b) lw contain substring abbaab) b) L- [w E 10,1,2) lsum of digits in w are divisible by three) c) L-(w E {0,1,2)' |The number is divisible by three} d) The language of all strings in which every a (if there are any) is followed immediately by bb. e) The language of all strings containing both aba and bab as substrings. f L w E 0,1every...
1. Construct a DFA that recognizes each of the following languages: a. L1 = {w € {a, b}* | w contains at least two a's and at least two b’s} b. L2 = {w € {a,b}* | w does not contain the substring abba} C. L3 = {w € {a, b}* | the length of w is a multiple of 4}
Regular expressions, DFA, NFA, grammars, languages
Regular Languages 4 4 1. Write English descriptions for the languages generated by the following regular expressions: (a) (01... 9|A|B|C|D|E|F)+(2X) (b) (ab)*(a|ble) 2. Write regular expressions for each of the following. (a) All strings of lowercase letters that begin and end in a. (b) All strings of digits that contain no leading zeros. (c) All strings of digits that represent even numbers. (d) Strings over the alphabet {a,b,c} with an even number of a's....
1. Construct a DFSM to accept the language: L w E ab): w contains at least 3 as and no more than 3 bs) 2. Let E (acgt and let L be the language of strings consisting of repeated copies of the pairs at, ta, cg. ge. Construct both a DFSM to accept the language and a regular expression that represents the language. 3. Let ab. For a string w E , let w denote the string w with the...
Suppose the alphabet is sigma = {a, b, ..., z, 0, 1, ..., 9,: }, i.e., the standard letters a-z, decimal numbers, and colon (: ). The colon is used as a delimiter between fields in a text file. Each line of the file thus corresponds to a string. a) Give a regular expression that accepts strings with four fields (i.e., with 3 delimiters). b) Give a regular expression that accepts strings where the second field is numerical. c) Give...
(20) Let L be the language over {a,b,c} accepting all strings so that: 1. No b's occur before the first c. 2. No a's occur after the first c. 3. The last symbol of the string is b. 4. Each b that is not the last symbol is immediately followed by at least two c's. 5. There are exactly as many a's as b's. Construct a context-free grammar generating L. You do not need an inductive proof, but you should...
Most questions answered within 3 hours.
-
Based on the range, which of the following sets of scores has
the greatest variability? 3,...
asked 52 minutes ago -
Ripples in a pond travel at a velocity of 3 m/s with one peak
passing a...
asked 42 minutes ago -
A man stands on the roof of a building of height 13.0 mm and
throws a...
asked 48 minutes ago -
The extent to which assets are financed by borrowed funds and
other liabilities is indicated by:...
asked 1 hour ago -
Explain in detail
Germany is the fifth largest economy
explain what goods and services Germany specializes...
asked 2 hours ago -
The density of platinum is 21.45 g/mL. If a cube of platinum
with a mass of...
asked 2 hours ago -
Accounts Receivable
Sales
A/R Posting
Extended Sales Invoice
Packing Slip
Compare invoice to packing slip 2...
asked 2 hours ago -
Michaella, age 23, is a full-time law student and is claimed by
her parents as a...
asked 2 hours ago -
Why are polymers not typically casted into products?
asked 2 hours ago -
When rolling a die 129 times, what is the probability of rolling
a 6 no more...
asked 2 hours ago -
4. A call option currently sells for $7.75. It has a strike
price of $85 and...
asked 2 hours ago -
1.
You need to prepare 10.0 liters of an acid aqueous solution with a
pH of...
asked 2 hours ago