Suppose we have a DFA that recognizes concatenation of two languages L1 L2. Also suppose we have a DFA that recognizes L2. Using these two DFAS, can we construct a new DFA to recognize L1? If yes, construct it.lf no,

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Let regular language L1 recognized by DFA (Q1,Z,81,s1,F1) and regular language L2 recognized by DFA
(Q2,1,82,s2,F2). We will construct a product DFA as the quintuple (Q,E,8,s,F) where: •Q=Q1×Q2
•For allxeZ and (q1,q2)EQ1×Q2,8((q1,q2),x) = (81(q1,x),82(q2,x))
•s= (s1,s2)
Suppose we have a DFA that recognizes concatenation of two languages L1 L2. Also suppose we have a DFA
that recognizes L2. Using these two DFAS, can we construct a new DFA to recognize L1? If yes, construct it.lf no,
explain why.
Let regular language L1 recognized by DFA (Q1,E,81,s1,F1) and regular language L2 recognized by DFA
(Q2,1,82,s2,F2). We will construct a product DFA as the quintuple (Q,E,8,s,F) where: •Q=Q1×Q2
•For allxeE and (q1,q2)EQ1×Q2,8((q1,q2),x) = (81(q1,x),82(q2,x))
•s= (s1,s2)
Suppose we have a DFA that recognizes concatenation of two languages L1 L2. Also suppose we have a DFA
that recognizes L2. Using these two DFAS, can we construct a new DFA to recognize L1? If yes, construct it.If no,
explain why.
Transcribed Image Text:Let regular language L1 recognized by DFA (Q1,Z,81,s1,F1) and regular language L2 recognized by DFA (Q2,1,82,s2,F2). We will construct a product DFA as the quintuple (Q,E,8,s,F) where: •Q=Q1×Q2 •For allxeZ and (q1,q2)EQ1×Q2,8((q1,q2),x) = (81(q1,x),82(q2,x)) •s= (s1,s2) Suppose we have a DFA that recognizes concatenation of two languages L1 L2. Also suppose we have a DFA that recognizes L2. Using these two DFAS, can we construct a new DFA to recognize L1? If yes, construct it.lf no, explain why. Let regular language L1 recognized by DFA (Q1,E,81,s1,F1) and regular language L2 recognized by DFA (Q2,1,82,s2,F2). We will construct a product DFA as the quintuple (Q,E,8,s,F) where: •Q=Q1×Q2 •For allxeE and (q1,q2)EQ1×Q2,8((q1,q2),x) = (81(q1,x),82(q2,x)) •s= (s1,s2) Suppose we have a DFA that recognizes concatenation of two languages L1 L2. Also suppose we have a DFA that recognizes L2. Using these two DFAS, can we construct a new DFA to recognize L1? If yes, construct it.If no, explain why.
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