a) Define through recursive definition , The language L of strings that start and end with different latters and also must contain aa in middle of each string, defined over Σ={a,b,c}.  also  Write at least 2 Valid and 2 Invalid strings belongs to this language    (2+2)   (b) Write the Regular expression for the language which accept no pair of consecutive a’s over Σ ={a,b}                                 (1+1+1) i.R.E= ______________ (1) ii.3 Valid strings= _______________(1) iii.3 Invalid strings= _________________(1) (c) Construct a DFA which accepts all strings over Σ ={a,b} in which second last symbol is a and last symbol is b. also Write at least 2 Valid and 2 Invalid strings for the designed DFA.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Q.No.3  

(a) Define through recursive definition , The language L of strings that start and end with different latters and also must contain aa in middle of each string, defined over Σ={a,b,c}.  also  Write at least 2 Valid and 2 Invalid strings belongs to this language    (2+2)

 

(b) Write the Regular expression for the language which accept no pair of consecutive a’s over Σ ={a,b}                                 (1+1+1)

i.R.E= ______________ (1)

ii.3 Valid strings= _______________(1)

iii.3 Invalid strings= _________________(1)

(c) Construct a DFA which accepts all strings over Σ ={a,b} in which second last symbol is a and last symbol is b. also Write at least 2 Valid and 2 Invalid strings for the designed DFA.    

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