NFA to DFA Conversion Worksheet - Prof. Eric Torng, Study notes of Computer Science

This worksheet provides in-class and take-home questions related to the conversion of a non-deterministic finite automaton (nfa) to a deterministic finite automaton (dfa). The questions cover identifying states after processing specific strings, finding strings that result in the same set of states, and understanding the relationship between states in the nfa and the resulting dfa.

Typology: Study notes

Pre 2010

Uploaded on 07/23/2009

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Module 19 Worksheet
In Class Questions
1) (S5) For the given NFA M, what states can it be in after processing string aa?
2) (S6) Identify some other strings that cause NFA M to end up in the exact same set of
states.
3) (S6) Suppose for some string z over {a,b} that aaz is in L(M). Use your answer to
question 2 to identify some other strings that would also be in L(M).
4) (S13) What is true about the bottom 4 states of M’ for the given example?
Take home review questions
1) The key idea in the construction of this module is that every state in the resulting FSA
M’ corresponds to a what in the original NFA M?
2) Consider the following NFA.
How many states total are there in the resulting FSA (including states unreachable
from the initial state of the FSA)?
How many accepting states in the resulting FSA (including states unreachable from
the initial state of the FSA)?
a
a,b
b
III III

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Module 19 Worksheet In Class Questions

  1. (S5) For the given NFA M, what states can it be in after processing string aa?
  2. (S6) Identify some other strings that cause NFA M to end up in the exact same set of states.
  3. (S6) Suppose for some string z over {a,b} that aaz is in L(M). Use your answer to question 2 to identify some other strings that would also be in L(M).
  4. (S13) What is true about the bottom 4 states of M’ for the given example? Take home review questions
  5. The key idea in the construction of this module is that every state in the resulting FSA M’ corresponds to a what in the original NFA M?
  6. Consider the following NFA. How many states total are there in the resulting FSA (including states unreachable from the initial state of the FSA)? How many accepting states in the resulting FSA (including states unreachable from the initial state of the FSA)? a a,b b I II III