Let L be {x ∈ {a, b, c} : x has an even number of a’s,...
Let L be {x ∈ {a, b, c} : x has an even number of a’s, an even number of b’s, and an even number of c’s}.
a) Show that L is regular.
b) How many states are there in a minimal deterministic finite automaton recognizing L?
Justify your answer.
Homework Answers
In the DFA the initial state is also the final state. It is also been denoted by a circle rest of the states are just dots.
Which of the following is a method for showing that a language L is not regular?...
Which of the following is a method for showing that a language L is not regular? a) Constructing a finite state automaton recognizing L b) Showing that the opponent can always win the regular expression game for L. c) Showing that the relation L has infinitely many equivalence classes. d) Constructing a push-down automaton recognizing L
1. L is the set of strings over {a, b) that begin with a and do...
1. L is the set of strings over {a, b) that begin with a and do not contain the substring bb. a. Show L is regular by giving a regular expression that denotes the language. b. Show L is regular by giving a DETERMINISTIC finite automaton that recognizes the language.
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...
(4) [20 pts] Let L be the language defined by a regular expression (O | 1)0+(01 1)). over t alphabet f(o,1, +) (a) (4pt) Write down 5 different words from L (b) (8pt) Describe L using words. (c) (8pt...
(4) [20 pts] Let L be the language defined by a regular expression (O | 1)0+(01 1)). over t alphabet f(o,1, +) (a) (4pt) Write down 5 different words from L (b) (8pt) Describe L using words. (c) (8pt) Draw an automaton accepting L (ideally, deterministic).
(4) [20 pts] Let L be the language defined by a regular expression (O | 1)0+(01 1)). over t alphabet f(o,1, +) (a) (4pt) Write down 5 different words from L (b) (8pt) Describe...
please explain thanks Search 20:14 2. Let a, b, c, d). Express the next language on...
please explain thanks
Search 20:14 2. Let a, b, c, d). Express the next language on E as a regular expression. (10 points x 3 ) (1)A language consisting of words in which the number of b is 2 or 3 (2) A language consisting of words whose last character is a or b (3) A language consisting of words in which the letter following the letter a is always b 3. M (0, 1, 2), a, b}, 6, 0,...
5. Let A={a,b,c} and let K, L C A be languages described as follows: K =...
5. Let A={a,b,c} and let K, L C A be languages described as follows: K = {a"y":n in e Zo} and L = {a?,62,c2-free words over A}. Thus L is the language of all words over A that have no consecutive letters that are the same. (a) Give a recursive description of K. (b) Construct a finite state automaton (FSA) that accepts L.
If p is a Turing machine then L(p) = {x | p(x) = yes}. Let A...
If p is a Turing machine then L(p) = {x | p(x) = yes}. Let A = {p | p is a Turing machine and L(p) is a finite set}. Is A computable? Justify your answer
[5] (c) Let A and B be two 3x3 matrices, and let X = Suppose further...
[5] (c) Let A and B be two 3x3 matrices, and let X = Suppose further that the linear system BX = 2 has infinitely many solutions. How many solutions does the linear system have? Justify your answer! (Hint: use det(B) and det(AB).]
In this assignment, you will implement a deterministic finite automata (DFA) using C++ programming language to...
In this assignment, you will implement a deterministic finite automata (DFA) using C++ programming language to extract all matching patterns (substrings) from a given input DNA sequence string. The alphabet for generating DNA sequences is {A, T, G, C}. Write a regular expression that represents all DNA strings that contains at least two ‘A’s. Note: assume empty string is not a valid string. Design a deterministic finite automaton to recognize the regular expression. Write a program which asks the user...
Show that the language L defined below is regular: L={w/ w has an even number of...
Show that the language L defined below is regular: L={w/ w has an even number of O's and 1 is the last symbol)
Which of the following is a method for showing that a language L is not regular? a) Constructing a finite state automaton recognizing L b) Showing that the opponent can always win the regular expression game for L. c) Showing that the relation L has infinitely many equivalence classes. d) Constructing a push-down automaton recognizing L
1. L is the set of strings over {a, b) that begin with a and do not contain the substring bb. a. Show L is regular by giving a regular expression that denotes the language. b. Show L is regular by giving a DETERMINISTIC finite automaton that recognizes the language.
(4) [20 pts] Let L be the language defined by a regular expression (O | 1)0+(01 1)). over t alphabet f(o,1, +) (a) (4pt) Write down 5 different words from L (b) (8pt) Describe L using words. (c) (8pt) Draw an automaton accepting L (ideally, deterministic).
(4) [20 pts] Let L be the language defined by a regular expression (O | 1)0+(01 1)). over t alphabet f(o,1, +) (a) (4pt) Write down 5 different words from L (b) (8pt) Describe...
please explain thanks
Search 20:14 2. Let a, b, c, d). Express the next language on E as a regular expression. (10 points x 3 ) (1)A language consisting of words in which the number of b is 2 or 3 (2) A language consisting of words whose last character is a or b (3) A language consisting of words in which the letter following the letter a is always b 3. M (0, 1, 2), a, b}, 6, 0,...
5. Let A={a,b,c} and let K, L C A be languages described as follows: K = {a"y":n in e Zo} and L = {a?,62,c2-free words over A}. Thus L is the language of all words over A that have no consecutive letters that are the same. (a) Give a recursive description of K. (b) Construct a finite state automaton (FSA) that accepts L.
[5] (c) Let A and B be two 3x3 matrices, and let X = Suppose further that the linear system BX = 2 has infinitely many solutions. How many solutions does the linear system have? Justify your answer! (Hint: use det(B) and det(AB).]
Show that the language L defined below is regular: L={w/ w has an even number of O's and 1 is the last symbol)
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