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Let $M_L$ be the minimal state DFA that accepts a language $L$ defined in Theorems 7.7.4 and 7.7.5. Let $M$ be another DFA that accepts $L$ with the same number of states as $M_L$. Prove that $M_L$ and $M$ are identical except (possibly) for the names assigned to the states. Two such DFAs are said to be isomorphic.

    Let $M_L$ be the minimal state DFA that accepts a language $L$ defined in Theorems 7.7.4 and 7.7.5. Let $M$ be another DFA that accepts $L$ with the same number of states as $M_L$. Prove that $M_L$ and $M$ are identical except (possibly) for the names assigned to the states. Two such DFAs are said to be isomorphic.

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Languages and Machines: An Introduction to the Theory of Computer Science

Languages and Machines: An Introduction to the Theory of Computer Science

Thomas A. Sudkamp 2nd Edition

Chapter 7, Problem 27

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- The minimal state DFA, $M_L$, is the smallest (in terms of the number of states) deterministic finite automaton that recognizes the language $L$. - Theorems 7.7.4 and 7.7.5, though not specified here, typically relate to properties of minimal DFAs such as Show more…

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Let $M_L$ be the minimal state DFA that accepts a language $L$ defined in Theorems 7.7.4 and 7.7.5. Let $M$ be another DFA that accepts $L$ with the same number of states as $M_L$. Prove that $M_L$ and $M$ are identical except (possibly) for the names assigned to the states. Two such DFAs are said to be isomorphic.

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