Find a finite automata that recognizes the language composed a set of strings containing one or...
Find a finite automata that recognizes the language composed a set of strings containing one or more zeros followed by an equal number of ones? Justify your answer.
Homework Answers
No finite automata exist for the given problem because we need to count the number of 1's which is possible only with a memory element.but no memory element exist for finite automata. But this problem can be solved with a push down automata.
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Find a finite automata that recognizes the language
composed a set of strings containing one or...
1. Construct a Finite Automata over Σ={0,1} that recognizes the language {w | w ∈ {0,1}*...
1. Construct a Finite Automata over Σ={0,1} that recognizes the language {w | w ∈ {0,1}* contains a number of 0s divisible by four and exactly three 1s} 2. Construct a Finite Automata that recognizes telephone numbers from strings in the alphabet Σ={1,2,3,4,5,6,7,8,9, ,-,(,),*,#,}. Allow the 1 and area code prefixing a phone number to be optional. Allow for the segments of a number to be separated by spaces (denote with a _ character), no separation, or – symbols.
Draw the state diagram of a Push-down Automata that recognizes the language A = {u#v_R |...
Draw the state diagram of a Push-down Automata that recognizes the language A = {u#v_R | u, v {0, 1}* and u =v}. In this set, treat u and v as bit strings where v is the bit-complement of v. For example, 0100#1 101 A, 0100#1010 A #1010#1010 A and so on. Let M = (Q, sigma, , delta, q_0, F) be a push-down automata. Describe a push-down
1. Give a context-free grammar for the set BAL of balanced strings of delimiters of three...
1. Give a context-free grammar for the set BAL of balanced strings of delimiters of three types (), and . For example, (OOis in BAL but [) is not. Give a nondeterministic pushdown automata that recognizes the set of strings in BAL as defined in problem 1 above. Acceptance should be by accept state. 2. Give a context free grammar for the language L where L-(a"b'am I n>-o and there exists k>-o such that m-2*ktn) 3. Give a nondeterministic pushdown...
Part A) Construct an NFA (non-deterministic finite automata) for the following language. Part B) ...
Part A) Construct an NFA (non-deterministic finite automata) for
the following language.
Part B) Convert the NFA from the part A into a DFA
L- E a, b | 3y, z such that yz, y has an odd number of 'b' symbols, and z begins with the string 'aa') (Examples of strings in the language: x = babbaa, and x = abaabbaa. However, x-bbaababaa is not in the language.)
L- E a, b | 3y, z such that yz, y...
Part B - Automata Construction Draw a DFA which accepts the following language over the alphabet...
Part B - Automata Construction Draw a DFA which accepts the following language over the alphabet of {0,1}: the set of all strings such that the number of 0s is divisible by 2 and the number of 1s is divisible by 5. Your DFA must handle all intput strings in {0,1}*. Here is a methodical way to do this: Figure out all the final states and label each with the shortest string it accepts, work backwards from these states to...
Construct a DFSA that recognizes the set of bit strings consisting of a 0 followed by...
Construct a DFSA that recognizes the set of bit strings consisting of a 0 followed by a string with an odd number of ls.
I need to construct a deterministic finite automata, DFA M, such that language of M, L(M),...
I need to construct a deterministic finite automata, DFA M, such that language of M, L(M), is the set of all strings over the alphabet {a,b} in which every substring of length four has at least one b. Note: every substring with length less than four is in this language. For example, aba is in L(M) because there are no substrings of at least 4 so every substring of at least 4 contains at least one b. abaaab is in...
Give a context free grammar for the language L where L = {a"bam I n>:O and...
Give a context free grammar for the language L where L = {a"bam I n>:O and there exists k>-o such that m=2"k+n) 3. Give a nondeterministic pushdown automata that recognizes the set of strings in L from question 3 above. Acceptance should be by accept state. 4. 5 Give a context-free grammar for the set (abc il j or j -k) ie, the set of strings of a's followed by b's followed by c's, such that there are either a...
Let M be a DFA that recognizes a finite language A, and suppose M has n...
Let M be a DFA that recognizes a finite language A, and suppose M has n states. Determine if the following statement is true or false: if w Element of A, then |w| < = n. Prove your answer.
Write a regular expression that captures the set of strings composed of 'a', 'b', and 'c',...
Write a regular expression that captures the set of strings composed of 'a', 'b', and 'c', where any string uses at most two of the three letters (for example, "abbab" is a valid string, or "bccbb", or "ccacaa", but not "abccba": strings that contain only one of the three letters are also fine). Give a non-deterministic finite automaton that captures the regular expression from Using the construction described in class, give a deterministic version of the automaton. Repeat the previous...
Draw the state diagram of a Push-down Automata that recognizes the language A = {u#v_R | u, v {0, 1}* and u =v}. In this set, treat u and v as bit strings where v is the bit-complement of v. For example, 0100#1 101 A, 0100#1010 A #1010#1010 A and so on. Let M = (Q, sigma, , delta, q_0, F) be a push-down automata. Describe a push-down
1. Give a context-free grammar for the set BAL of balanced strings of delimiters of three types (), and . For example, (OOis in BAL but [) is not. Give a nondeterministic pushdown automata that recognizes the set of strings in BAL as defined in problem 1 above. Acceptance should be by accept state. 2. Give a context free grammar for the language L where L-(a"b'am I n>-o and there exists k>-o such that m-2*ktn) 3. Give a nondeterministic pushdown...
Part A) Construct an NFA (non-deterministic finite automata) for
the following language.
Part B) Convert the NFA from the part A into a DFA
L- E a, b | 3y, z such that yz, y has an odd number of 'b' symbols, and z begins with the string 'aa') (Examples of strings in the language: x = babbaa, and x = abaabbaa. However, x-bbaababaa is not in the language.)
L- E a, b | 3y, z such that yz, y...
Construct a DFSA that recognizes the set of bit strings consisting of a 0 followed by a string with an odd number of ls.
Give a context free grammar for the language L where L = {a"bam I n>:O and there exists k>-o such that m=2"k+n) 3. Give a nondeterministic pushdown automata that recognizes the set of strings in L from question 3 above. Acceptance should be by accept state. 4. 5 Give a context-free grammar for the set (abc il j or j -k) ie, the set of strings of a's followed by b's followed by c's, such that there are either a...
Let M be a DFA that recognizes a finite language A, and suppose M has n states. Determine if the following statement is true or false: if w Element of A, then |w| < = n. Prove your answer.
Write a regular expression that captures the set of strings composed of 'a', 'b', and 'c', where any string uses at most two of the three letters (for example, "abbab" is a valid string, or "bccbb", or "ccacaa", but not "abccba": strings that contain only one of the three letters are also fine). Give a non-deterministic finite automaton that captures the regular expression from Using the construction described in class, give a deterministic version of the automaton. Repeat the previous...
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