Virtual Labs

What is the first step in Thompson's construction?

a: Convert to DFA Explanation

Explanation

b: Create basic NFAs for individual symbols Explanation

Explanation

c: Remove epsilon transitions Explanation

Explanation

d: Minimize the automaton Explanation

Explanation

How are concatenated expressions handled in Thompson's construction?

a: By creating parallel paths Explanation

Explanation

b: By connecting accept state of first NFA to start state of second NFA Explanation

Explanation

c: By merging states Explanation

Explanation

d: By creating new transitions Explanation

Explanation

What is the purpose of epsilon transitions in the constructed NFA?

a: To make the NFA faster Explanation

Explanation

b: To allow state changes without consuming input Explanation

Explanation

c: To reduce memory usage Explanation

Explanation

d: To make the NFA deterministic Explanation

Explanation

How is the union operation (|) implemented in Thompson's construction?

a: By creating a single path Explanation

Explanation

b: By creating parallel paths with epsilon transitions Explanation

Explanation

c: By merging states Explanation

Explanation

d: By creating new symbols Explanation

Explanation

What is the purpose of the stack in Thompson's construction?

a: To store the input string Explanation

Explanation

b: To keep track of NFAs being built Explanation

Explanation

c: To store the final result Explanation

Explanation

d: To store intermediate calculations Explanation

Explanation

How is the Kleene star (*) operation implemented in Thompson's construction?

a: By creating a single path Explanation

Explanation

b: By creating a loop with epsilon transitions Explanation

Explanation

c: By merging states Explanation

Explanation

d: By creating new symbols Explanation

Explanation

What is the space complexity of the NFA constructed using Thompson's construction?

a: O(n²) Explanation

Explanation

b: O(n³) Explanation

Explanation

c: O(n) Explanation

Explanation

d: O(2ⁿ) Explanation

Explanation

Why is Thompson's construction important in compiler design?

a: It makes compilers faster Explanation

Explanation

b: It provides a way to convert regular expressions to NFAs for lexical analysis Explanation

Explanation

c: It reduces memory usage Explanation

Explanation

d: It makes code more readable Explanation

Explanation

What is the relationship between the number of states in the final NFA and the length of the regular expression?

a: The number of states is always equal to the length Explanation

Explanation

b: The number of states is at most twice the length Explanation

Explanation

c: The number of states is at most three times the length Explanation

Explanation

d: The number of states is exponential in the length Explanation

Explanation

Converting Regular Expression to NFA