a) Construct a simplest possible PDA using state transition diagram that accepts the language L over alphabets {0, 1, 2} that precisely contains those strings where, the first, middle and the last letter or symbol in the string are the same. b) Demonstrate by computation that 01020  L(M) and 10201 L(M) to validate the PDA that you have constructed.

a) Construct a simplest possible PDA using state transition diagram that accepts the language L over alphabets {0, 1, 2} that precisely contains those strings where, the first, middle and the last letter or symbol in the string are the same. b) Demonstrate by computation that 01020  L(M) and 10201 L(M) to validate the PDA that you have constructed.

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter2: Problem Solving Using C++using

Section2.2: Programming Style

Problem 4E: (For thought) a. A token of a computer language is any sequence of characters, with no intervening...

See similar textbooks

Similar questions

Draw a PDA transition diagram that recognize the following language: a. L1 = { a i b j c k | i, j, k ≥ 0 and i + j = k } b. L2 = { w ∈ {0, 1}∗ | w contains at least two 1s}
1a) Make a PDA that recognizes the language {aibjck∶i,j,k ≥ 0 ⋀ (i = j ⋁ i = k)}.
Please draw the graph. For each part below, construct an FSA accepting the indicated language over {0, 1}.a. The language of all strings that begin with 1101 but do not contain 000.b. {w | |w| is a multiple of 3 or 4 } Note: |w| is the length of string w.
For each of the following languages, construct a DFA that accepts thelanguage. In all cases, the alphabet is {0, 1}. 5. {w : w contains at least two 1s and at most two 0s}6. {w : w contains an odd number of 1s or exactly two 0s}7. {w : w begins with 1 and ends with 0}
Given: Language L3 = {w ϵ {a,b}* | w starts in ab and ends in bb} Construct the DFA representing the given language L3. Assume the layout of the DFA is as follows: ->A->B->C->D->E*. That is, the number of states are five (5) and A is the starting state and E is the accepting state. What is the next state for input pair (D,a) in the constructed DFA?
Describe a DFA that accepts each of the following languages. Describe briefly what each state in your DFA means. Do not attempt to draw your DFA, since the number of states could be huge; instead, give a mathematically precise description of the states Q, the start state s, the accepting states A, and the transition function δ All strings x ∈ {0, 1}* such that x contains 0^9 as a substring, or |x| is divisible by 8, or #0(x) − #1(x) is divisible by 7. #0(x) denotes the number of 0's in x, and #1(x) denotes the number of 1's in x.
For each part below, construct an FSA accepting the indicated language over {0, 1}.a. The language of all strings where no two consecutive characters are the same.b. The language of all strings that do not contain 1100.
Given: Language L1 = {w ϵ {0,1}* | w ends in either 10 or 11} Construct the DFA representing the given language L1. What is the minimum number of states to construct the DFA representing the given language L1? Sample Answer: 5
Construct DFAs for the following languages. Give both the state diagrams and the state-transition tables. The set of binary strings that start with “11” and end with “01”. Σ = {0,1,2} The set of binary strings which, when converted into an integer number, are divisible by 6. The string must not have leading zeros (for example, 110, 0, and 11110 will be accepted, 0110, 1111, and 101 will be rejected). Empty string (ϵ) will be rejected. (Σ = {0,1} The set of binary strings whose length is odd and has 1 in every even position. (The strings 0 and 1 will also be accepted by the DFA). Σ={0,1}. For example: 010, 01111, 11010, 1111010, etc. The set of binary strings that do not contain exactly two 0’s. (it may have more than 2 0’s, or less). Empty string (ϵ) will be accepted. Σ = {0,1} The set of binary strings with even numbers of 0’s and with 1’s in pairs. Σ = {0,1}. For example: ϵ, 11, 00, 1111, 0110, 110110, 01100110.
Construct DFAs for the following languages. Give both the state diagrams and the state-transition tables. The set of binary strings which, when converted into an integer number, are divisible by 6. The string must not have leading zeros (for example, 110, 0, and 11110 will be accepted, 0110, 1111, and 101 will be rejected). Empty string (ϵ) will be rejected. (Σ = {0,1} The set of binary strings whose length is odd and has 1 in every even position. (The strings 0 and 1 will also be accepted by the DFA). Σ={0,1}. For example: 010, 01111, 11010, 1111010, etc.
Give a DFA accepting the following language over the alphabet {a,b} : *Language in image below:*
construct a DFA which accept the language L = {anbm | n mod 2=0, m≥1}