1a) Write Grafstate code for a DFA M 1 that recognizes the language of strings over a,b such that the length of each string is congruent to 1 modulo 3 1b) Use the definition of to prove whether the string aba is accepted by M 1 Show all of the steps of 2) Write Grafstate code for a DFA M 2 that recognizes the language of strings over a,b that do not have 2 consecutive a s any help with these is greatly appreciated

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Question: 1a) Write Grafstate code for a DFA M 1 that recognizes the language of strings over = {a,b} such that the length of each string

1a) Write Grafstate code for a DFA M₁ that recognizes the language of strings over = {a,b} such that the length of each string is congruent to 1 modulo 3.

1b) Use the definition of * to prove whether the string aba is accepted by M₁. Show all of the steps of *.

2) Write Grafstate code for a DFA M₂ that recognizes the language of strings over = {a,b} that do not have 2 consecutive as.

any help with these is greatly appreciated!

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