Given a DFA for the following languages, specified by a transition diagram. For each one of them, give a short and clear description of how the machine works. Assume the alphabet is Σ = {0,1,2}:   (a) L1 = {w | w is any string over Σ that contains at least one ’0’.}   (b) L2 = {w | w contains even number of 0s and an odd number of 1s.}   (c) L3 = {w = 0u12v | u,v are any strings over Σ.}

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Given a DFA for the following languages, specified by a transition diagram. For each one of them, give a short and clear description of how the machine works. Assume the alphabet is Σ = {0,1,2}:  
  • (a) L1 = {w | w is any string over Σ that contains at least one ’0’.}  
  • (b) L2 = {w | w contains even number of 0s and an odd number of 1s.}  
  • (c) L3 = {w = 0u12v | u,v are any strings over Σ.} 
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