Question 1: Every language is regular T/F Question 2: There exists a DFA that has only one final state T/F Question 3: Let M be a DFA, and define flip(M) as the DFA which is identical to M except you flip that final state. Then for every M, the language L(M)^c (complement) = L( flip (M)). T/F Question 4: Let G be a right linear grammar, and reverse(G)=reverse of G, i.e. if G has a rule A -> w B...
Using formulas for r_i, j^k find a regular expression for the following dfa: Determine a right-linear grammar G for the language accepted by the following dfa: Find the dfa that accepts the intersection of languages accepted by dfas from problem 1 and problem 3. Use the construction based on pairs of states.
et l(a) be the language generated by g(a) - (n, 2, s, p) where 2 - [a, b), n= {s,x) and s->axb ... Question: Let L(a) be the language generated by G(a) - (N, 2, S, P) where 2 - [a, b), N= {S,X) and S->aX... Let L(a) be the language generated by G(a) - (N, 2, S, P) where 2 - [a, b), N= {S,X) and S->aXb X->aX|bX|epsilon (i) (3 marks) Describe the language L(a). (First generate a few...
Consider the language L below. (a) Is L a regular language? – Yes, or No. (b) If L is a regular language, design the DFA (using a State Table) to accept the language L, with the minimum number of states. Assume , (c) Suppose the input is “101100”. Is this input string in the language L? Σ = {0,1} L={w l w has both an even number of O's and an odd number of 1's}
Find a minimal DFA for the following language. And Prove that your result is minimal. L = {a^n: n greaterthanorequalto 0, n notequalto 2}.
Question 1. Let Σ = {a, b}, and consider the language L = {w ∈ Σ ∗ : w contains at least one b and an even number of a’s}. Draw a graph representing a DFA (not NFA) that accepts this language. Question 2. Let L be the language given below. L = {a n b 2n : n ≥ 0} = {λ, abb, aabbbb, aaabbbbbb, . . .} Find production rules for a grammar that generates L.
Question 5. Let Σ = {a, b}, and consider the language L = {a^n : n is even} ∪ {b^n : n is odd}. Draw a graph representing a DFA (not NFA) that accepts this language.
Give a DFA for the following language over the alphabet Σ = {0, 1}: L={ w | w starts with 0 and has odd length, or starts with 1 and has even length }. E.g., strings 0010100, 111010 are in L, while 0100 and 11110 are not in L.
Find a dfa that accept the following language L((aa∗)∗ + abb)
Construct a grammar that generates the following language, L = (anbn+mam | n, m = 0, 1, 2, ...). Construct a grammar that generates the following language, L = (a"bn-ma" n, m = O, 1, 2, ..)