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Theory of Automata Assignment #2 Part #2 Regular Expression # 6 The set of strings over {a,b} that contain at least two a's or exactly two b's. (a+b)*(a)(b*)a(a+b)*+a*b(a*)b(a*) Regular Expression # 7 The set of strings over {a,b} that contain even length but not multiple of 3 (aa*)(aaa^) Regular Expression # 8 The language over {a,b}contains exactly one double letter.   (ε + b)(ab) ∗aa(ba) ∗(ε + b) + (ε + a)(ba) ∗ bb(ab) ∗(ε + a)

TA ASSIGNMENT 1 PART 3

Theory of Automata Assignment #1 Part #3 Recursive Definition #11: Language of Expressions having at least one operator defined on  Σ ={+,-,*,/,a,b}  Step 1#- a+b ,a*b,a/b and a-b are in L Step 2#- If x is in L then x+x,x-x,x*x,x/x is also in L Step 3#- No words except generated above can be considered as member of Language. Recursive Definition #12: Language of string starting and ending on different alphabet defined on  Σ ={a,b} Step 1#- ab and ba are in L Step 2#- If x is in L then axb,and bxa are also in  Σ*.   Step 3#- No words except generated above can be considered as member of Language. Recursive Definition #13: Language of even numbers Step 1#- 0 and 2 are in L Step 2#- If x is in L then x+2 and x-2 is also in L .   Step 3#- No words except generated above can be considered as member of Language. Recursive Definition #14: Language of negative integers d...

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