∑= {a,b}, L = { w : c₁xc₂, x ∈ ∑+, c₁, c₂ ∈ ∑, c₁...

Question

Question

∑= {a,b}, L = { w : c₁xc₂, x ∈ ∑+, c₁, c₂ ∈ ∑, c₁ ≠ c₂ }. Note that c₁ and c₂ are characters in ∑, not strings.

a) Give an example of a string t such that |t| = 4 and t ∈ L.

b) Give an example of a string t such that |t| = 3 and t ∉ L.

c) Is ba ∈ L?

Answer 1

Answer #1

bba , bbb-J Ci +C9- Henle tte hings that can be contained in L ahe as レ= { a ab, abb, baa, bba-aaa b baaa baba ase aab, ab b

Answer 2

Similar Homework Help Questions

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...
Consider the language L = {w ∈ {a,b,c}∗ | nw(a) = nw(b) = nw(c)}, where nw(z) is the number of oc...

Consider the language L = {w ∈ {a,b,c}∗ | nw(a) = nw(b) = nw(c)}, where nw(z) is the number of occurrences of the symbol z in string w. In other words, L contains all strings that have an equal number of a’s, b’s, and c’s. The symbols may be in any order. Describe a TM T that decides L. You may assume that a ⊔ symbol has been placed at the beginning of the tape. Draw the state diagram of...
What’s the C++ code to this? So that my output is: CCTAGAATG | | X |...

What’s the C++ code to this? So that my output is: CCTAGAATG | | X | | X | | GGACCTAAC Validity: 77.7778% Stability: 57.1429% Part #02 The goal is to write a complete C++ program that inputs 2 strings from the keyboard, where each string denotes a DNA strand such as CCTAGAATG. Assume the 2 strings are the same length. The program will then CS 109: htp:/bwww.csic.edu i109 Page I of 3 line up the two strands to see...

I know how to do a) and b) but unsure about c) c) Number of strings...

I know how to do a) and b) but unsure about c) c) Number of strings that (do not not contain "cab" or "bac" BUT may contain repeated consecutive letters), OR (strings that do not contain repeated consecutive letters but may contain "cab" or "bac"). Question 3. (5 marks) A language L is defined over a set of three letters {a, b, c}. A string ordering matters (i.e. "abc" is not equal to "bca"). The length of a string is...
(b) Label the following figure as being XL > Xc, XL - Xc, or XL <XC-...

(b) Label the following figure as being XL > Xc, XL - Xc, or XL <XC- AV. max L Imax O XL > Xc XL = Xc O x < Xc x (c) Label the following figure as being XL > Xc, XL = Xc or XL Xc- + Imax AVmax i O X{ > Xc O = Xc Ox < xc X
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...

DO NUMBER 4 AND 5 2. Let {acgt} and let L be the language of strings consisting of repeated copies of the pairs at, ta,...

DO NUMBER 4 AND 5 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 X", let W denote the string w with the a's and b's flipped. For example, for w aabbab: w bbaaba wR babbaa abaabb {wwR Construct a PDA to accept...
DO NUMBER 3 2. Let {acgt} and let L be the language of strings consisting of repeated copies of the pairs at, ta, cg, g...

DO NUMBER 3 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 X", let W denote the string w with the a's and b's flipped. For example, for w aabbab: w bbaaba wR babbaa abaabb {wwR Construct a PDA to accept the language:...
Q3 Let A = {a,b,c} and Aº = {abcw1W2 ---W | W; E A for all...

Q3 Let A = {a,b,c} and Aº = {abcw1W2 ---W | W; E A for all i > 1} denote the set of all infinite length strings over A that start with the “abc" substring. That is, each string A™ is an infinite sequence of characters "abcw1W2 ... Wo" where each wie A. Prove that Aº is not countable using a proof by contradiction that includes a diagonalization argument.

Show that L = {w ∈ {a, b, c}∗ | |w|a = |w|b = |w|c} is...

Show that L = {w ∈ {a, b, c}∗ | |w|a = |w|b = |w|c} is not context-free by using the closure properties of the context-free languages. Note: make sure to use the closure properties of the context-free languages.