1)every dfa is also an nfa True
Because in nfa, symbol is going to one state or more than one state. Every nfa need not be dfa. Every dfa is nfa.
2)a maximum of one final state is for a dfa False
Because dfa may have more than one final state.
Ex. Language that contains Strings less than length 5
3)a language that is accepted by dfa is a regular language. True
Because finite automata accepts regular language.
4)each dfa must have a trap state. False
Because some dfa's may not have trap state.
Ex. Language that contain strings greater than one.
5)let m be nfa, w be input string if M ends in non final state after reading it is rejected. True.
Every string ends in final state, it is accepted.
6)false because in nfa there is a chance that input symbol is going more than one state
7)True, complement of dfa contains final states=total states minus final states of dfa.
Question 9 10 pts Select all the statements below which are true: Every dfa is also...
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...
Solve the following Deterministic Finite Automata ( DFA ). For Σ = {0, 1} Construct a DFA M such that L(M) = { w : w ends with 101 followed by an ODD number of 0's} Draw the state diagram and transition table..... 1) Given A Formal Definition M = (Q, Σ, ? , q, F) 2) Trace the Path (Listing States) taken by words state whether each word is accepted or rejected. w = 101010 v = 1010100 u...
Question 5 10 pts Select all the statements below which are true: The grammar below is CS. SaSa bb O Any CS language is RE. The language L = {a”b"c" : n > 1}is CF. The language L = {wwR : w€ {a, b}" } is DCF, CF, CS, REC, and RE. There are languages which are not accepted by TMs. Any REC language is accepted by some Decider (a TM that halts for every input).
Any answer that involves a design for a Finite Automaton (DFA or NFA) should contain information about the following five components of the FA (corresponding to the 5-tuple description): i) The set of states Q; ii) the alphabet Σ; iii) the start state; iv) the set of final states F; v) the set of transitions δ, which can be either shown in the form of a state diagram (preferred) or a transition table. You can either present the answer in...
10 pts Question 5 Select all the statements below which are true: Any REC language is RE. Any REC or RE language is accepted by some Turing Machine. @ Every language is accepted by some TM @ The language L (a"bc :n1 is CF. The language L (aww :n 2 0, w E (a b)') is CF cs, REC, and RE. : T The grammar below is CS A- acbA I a
a). Provide a DFA M such that L(M) = D, and provide an English explanation of how it works (that is, what each state represents): b). Prove (by induction on the length of the input string) that your DFA accepts the correct inputs (and only the correct inputs). Hint : your explanation in part a) should provide the precise statements that you need to show by induction. For example, you could show by induction on |w| that E2 = {[:],...