Construct a nondeterministic finite-state automaton that recognizes the language generated by the regular grammar
a)
b)
c)
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Discrete Mathematics and Its Applications ( 8th International Edition ) ISBN:9781260091991
- Show that ADFA ∈ L, where ADFA = {< B,w > |B is a DFA that accepts input string w}.arrow_forwardHelp me with my computational theory class homeworkarrow_forward6. Give a recursive definition of each of these sets of ordered pairs of positive integers. PS:Please help me by doing all the subparts as it is connected correctly on a word processing document.arrow_forward
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- 2. Answer each part for the following context-free grammar. R→ XRX | S S-> aTb | bТа T→ XTX|X | € X→ a | b a. What are the variables and terminals of G? Which is the start symbol? b. Give three examples of strings in L(G). c. Give three examples of strings not in L(G).arrow_forward1. Build a context free grammar (G) into the following language: 2. Proved by induction that L = L (G)arrow_forwardHelp me with my computational theory class homeworkarrow_forward
- For non empty binary relation R={(a, a),(a, b),(a, e),(b, b),(b, e),(c, c),(c, d),(d, d).(e, e)} on the set A={a, b, c, d, e}, which is the following is true? O Reflexive, Anti-Symmetric O Reflexive O Reflexive, Symmetric, Transitive O Reflexive, Transitive O Reflexive, Symmetric, Anti-Symmetric, Transitive O Reflexive, Anti-Symmetric, Transitive O Reflexive, Symmetric O Transitive O Symmetric O Symmetric, Transitive O Anti-Symmetric, Transitivearrow_forwardLet N= {1, 2, 3, 4, .} be the set of natural numbers and S= (1, 4, 9, 16, ...} be the set of squares of the natural numbers. Then N - S, since we have the one-to-one correspondence 1 + 1, 2 + 4, 3 + 9, 4 + 16, ... n+ n?. (This example is interesting, since it shows that an infinite set can be equivalent to a proper subset of itself.) Show that each of the following pairs of sets are equivalent by carefully describing a one-to-one correspondence between the sets. Complete parts (a) through (c) below. (a) The whole numbers and natural numbers, W = {0, 1, 2, 3, ..} and N= {1, 2, 3, 4, ...} Which of the following describes a one-to-one correspondence between the two sets? O A. For each element in W, there is an element in N that is double that element. O B. For each element in w. there is an element in N that is 1 areater than double that element.arrow_forward5. Using the following context free grammar give a parse tree for the strings. E → E +T|T T → TxF|F F → (E)\a (a) a+a+a (b) ((a))arrow_forward
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