CSE 355: Automata Theory and Computability

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Questions and Answers

What is the weightage of quizzes in the grading for CSE 355?

  • 40% - Two midterms (20% each)
  • 30% - Final, cumulative
  • 15% - 5-6 assignments
  • 15% - 10 to 12 quizzes (lowest 2 to be dropped) (correct)

Which branch of computer science theory is studied in CSE 355?

  • Automata theory or language theory (correct)
  • Data structures
  • Databases
  • Computability

What does the term 'computability' refer to in the context of CSE 355?

  • The ability to solve problems faster
  • Efficiency of the solution
  • The ability to compute, irrespective of solution efficiency (correct)
  • The ability to solve more problems

What are regular expressions used for in CSE 355?

<p>String matching, keyword/pattern matching (C)</p>
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What is the purpose of finite automata in CSE 355?

<p>Used for implementing REs (B)</p>
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How do stronger computers differ from weaker ones according to the text?

<p>They can solve the same problems faster, or more of them (B)</p>
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What is the central question of complexity theory?

<p>To classify problems as easy or hard (C)</p>
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In complexity theory, what is the objective related to problems?

<p>To classify problems as easy or hard (D)</p>
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What type of computation is considered in the context of complex problems?

<p>Randomized computation (B)</p>
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What does complexity theory attempt to determine about problems?

<p>If they are actually solvable (A)</p>
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What is the main application of complexity theory in cryptography?

<p>Classifying problems as easy or hard (D)</p>
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What is the purpose of power set of A in set theory?

<p>Set of all subsets of A (C)</p>
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What is the characteristic of lexicographic order?

<p>It arranges symbols based on their appearance in an alphabet (A)</p>
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What does proof by induction involve?

<p>Proving that a statement is true for infinite cases (C)</p>
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What is the main application of finite automatas?

<p>Text processing (A)</p>
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In graph theory, what type of connection has directionality?

<p>Directed connections (C)</p>
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In the context of deterministic finite state machines (DFAs), which of the following best describes the role of the alphabet?

<p>The alphabet is a set of strings that represent the input symbols (B)</p>
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According to the information provided, what is the difference between the two machines M1 and M2?

<p>M1 and M2 have different language definitions (A)</p>
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In the context of deterministic finite state machines, what does it mean for a state to have an outgoing arrow for every string in an alphabet?

<p>It means that the state has a transition for every possible combination of input symbols (C)</p>
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What is the language of the machine M1 based on the provided information?

<p>{any input that ends with one} (B)</p>
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According to the text, what is the significance of states in deterministic finite state machines?

<p>States act as memory elements within the machine (D)</p>
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What is the relationship between the two machines M1 and M2 based on the information provided?

<p>The two machines are complements of each other (D)</p>
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In the context of finite automata, what is the formal definition of 'accepting' computation?

<p>The machine accepts a string if there is a sequence of states r0, r1, r2, … rn in Q with the condition r0=q0, rn∈F, and each transition is a valid move according to the transition function delta (A)</p>
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What is the language recognized by machine M5 based on the provided information?

<p>{ w | sum of the symbols in w is a multiple of 3 } (D)</p>
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What does it mean for a language to be called a regular language?

<p>It means that some finite automaton recognizes it (B)</p>
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What are the conditions for accepting a string by a finite automaton?

<p>The first state visited must be the start state, the end state must be in the accepting set, and each transition must be a valid move according to the transition function delta (B)</p>
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What is the defining characteristic of regular languages?

<p>They can be recognized by both deterministic and non-deterministic finite automata (D)</p>
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What is the function of Q0 in the context of generalized automaton Bi?

<p>Q0 is the state when mod i is 0 (A)</p>
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What is the significance of the original and new transition table sizes in generalized automaton Bi?

<p>The original transition table is 3x4, and the new transition table would be i x 4, where i represents the number of states (D)</p>
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What does L(M) = A signify in the context of finite automata?

<p>(M) represents the set of strings where M accepts A, based on specific conditions defined in A (D)</p>
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What does proof by induction involve according to the text?

<p>It involves proving a statement for an arbitrary natural number using specific steps and base cases (B)</p>
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