Build a deterministic FA Ms for the following language Ls= L(Ms) = {x over {a, b}| if x contains sequences of b's then all of them must be of odd length} For example, bb e Lsand ababbaaaa e Ls, but b e Ls, a e Ls aba e Ls and bbbaab e Ls. (Hint: in constructing deterministic FAs for problems 2, 3, 4, and 5 make sure to consider all the possibilities, i.e., the different types of strings in the language of the corresponding FA.)

Q: Prove that the following language A is decidable (e.g., give a TM that decides A). A = {⟨M⟩ | M is…

A: We will prove that language A = {⟨M⟩ | M is an NFA and L(M) = B}, where B is a regular language, is…

Q: Build a deterministic FA M2 for the following language L2=L(M2)= {x over {a, b, c} | x has at least…

A: This DFA can be made using for States. Below is the answer

Q: For language L = {anbn+mcm : n ≥ 0, m ≥ 1} on Σ = {a, b, c}, is L a deterministic context free…

A: Answer : An NPDA that accepts L is M = (Q, Σ, Γ, δ, q0, z, F), where Q = {q0, q1, . . . , q5}, Σ =…

Q: (3) {w € [0, 1]*: w has 001 as a substring} Testing strings: €, 0, 1, 01, 000, 001, 0001, 0010,…

A: We are given a language {w ∈ {0,1}*: w has 001 as a substring}.And we are asked to test given…

Q: 1. Using pumping lemma prove that the following language L is non-regular. L = {an²in>0}

A: Answer the above question are as follows

Q: (1) State the pumping lemma with all its conditions and indicate how you go about proving that a…

A: the pumping lemma with all its conditions and indicate  you go about proving that a language is not…

Q: 10. a. Define clearly but completely: Language L is decidable. b. Let ALLDFA = {M: M is a DFA and…

A: A language L is decidable or recognisable if a Turing machine that recognises (decides) that…

Q: Show that the language {a™b" | m ± n} is context-free.

A: To show that the language {a^m b^n | m ≠ n} is context-free, we can construct a context-free grammar…

Q: (4) {w € [0, 1]* : w does not have 001 as a substring} Testing strings: €, 0, 1, 01, 000, 001, 0001,…

A: In this question we have to design a Nondeterministic Finite automata where a language consist of…

Q: Create a complex CFG that produces L. s L = {0¹ 14 | i≥ 0}. Prove the ambiguity and construct a PDA…

A: Below i have given handwritten solution of the problem. see below steps.

Q: Consider the language L = {a'b'c* | i # j,j # k, i # k}; it is not a context- free language. Show…

A: Pumping lemma for CFL is used to prove the language is not cfl using some valid string s.  Never use…

Q: 8 Problem 8 ollowing language on E = {a, b}. Construct a deterministic finite automaton (DFA) that…

A: Here in this question we have asked to design a DFA which accept the language  L = { ab^na^m :…

Q: Please classify the following languages as 1. in P         2. In P but not in NP         3.…

A: Hi there, Please find your solution below, I hope you would find my solution useful and helpful.…

Q: Question 7: Prove the non-regularity of the given language L using pumping lemma. L={a"b?na2n}

A: Pumping lemma: Pumping lemma is used to prove non regularity of the language. The regular language…

Q: Let Σ = {0, 1}. We define the language L5−8={⟨A⟩∣A is a deterministic finite automaton and…

A: In this problem, we are given a language L5-8, which is defined as the set of all deterministic…

Q: Given the following CFG a) Convert the CFG to an equivalent CFG in GNF. b) Construct an NPDA that…

A: a) To convert CFG to GNF, we need to follow the following steps: Eliminate ε-productions Eliminate…

Q: context-free

A: true

Q: Build a deterministic FA M3 for the following language L3 = L(M3)={x over {a, b}\x consists of…

A: Actually, DFA stands for Deterministic Finite Automata

Q: mping Lemma to show that the language is not regular..  L = {0i10i | i >= 1}

A: Given :  L = {0i10i | i >= 1}