Two finite state machines are said to be equivalent if they:

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UGC NET Computer Science (Paper 2) July 2018 Paper
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  1. Have the same number of edges
  2. Have the same number of states
  3. Recognize the same set of tokens
  4. Have the same number of states and edges

Answer (Detailed Solution Below)

Option 3 : Recognize the same set of tokens
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UGC NET Paper 1: Held on 21st August 2024 Shift 1
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Detailed Solution

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Concept:

Finite state automata is a machine that can be used to solve computer programs and other sequential logics and have finite number of states at a given time. There are 6 tuples in a finite state machine.

Explanation:

Two finite state machines are said to be equivalent if they recognize the same set of tokens.

Consider two automata M1 and M2, these are called equivalent for an input sequence if they produce the same output result.

Example:

Regular expression: baa*b

NFA: M1

TOC

Number of states in NFA: 4

DFA: M2

DFA

Number of states in DFA: 5

Above two finite automata are having different number of states and edges, but they are equivalent.

They are said to be equivalent only when they accept same regular language (same set of tokens) whether they have different number of states or edges.
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