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Let M be a DFA that recognizes a finite language A, and suppose M has n...
Create both an NFA and DFA that recognizes the language {w | w has an even length}
Show that the following language is decidable. L={〈A〉 | A is a DFA that recognizes Σ∗ } M =“On input 〈A〉 where A is a DFA:
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...
Write a class for DFA type objects. Deterministic Finite Automata are commonly defined as a quintuple consisting of a set of states, a set of symbals, a transition function, a start state and a set of accept states For this implementation let the alphabet be given as a string of symbols, the transition function as list of lists which represent an n by m matrix where the n rows represent the states and the m columns represent the alphabet symbols,...
Question 1: Design a DFA with at most 5 states for the language L1 = {w ∈ {0, 1}∗ | w contains at most one 1 and |w| is odd}. Provide a state diagram for your DFA. Approaching the Solution --since we haven’t really practiced this type of assignment (i.e. had to define our machine based on only having the language given; not the formal 5 tuples), I am providing the steps for how to work through this; you are...
(10pts)Use the subset construction to build a DFA that recognizes the language recognized by the following NFA. Clearly show your steps so that it is clear that you used the subset construction. 2 90
(g) If there is an NFA with s states which accepts a language L, then we can construct a DFA which accepts the same language and has: (circle the smallest correct answer a) s states b) 2s states d) 2 states (h) If there is a DFA which accepts a language A with s states and another whiclh accepts language B with t states, then we can construct a DFA which accepts An B which has (circle the smallest correct...
Suppose alphabet Σ = {a} and consider the following regular language A, A = {w | |w| ≥ 4}, i.e., strings whose length is at least 4 (equivalently, unary numbers x ≥ 4). a) Construct a DFA that recognizes A with as few states as possible (draw a state diagram). b) Construct a PDA that recognizes A with as few states as possible (draw a state diagram). Note that the stack alphabet may include additional symbols.
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...
2 points True or False Question Let V be a finite-dimensional inner product space, and let W be a subspace of V. Denote dim(V) = n. Recall that the projw and perpw maps are linear transformations from V to V. Is the following statement true or false? "If nullity(projw) = 0 then V=W". Note: There is no Verify button here. Select your answer and navigate to the next question. True False