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Q1) Show that the following identities hold for regular expressions over any alphabet:
1. epsilon + R*R = R* 2. (R*S*) = (R + S)*
These should be done by interpreting the regular expressions as languages (i.e. sets of words) and arguing that the sets are equal. The proofs do not have to be formal proofs by induction; a compelling argument will suffice.
Write a program would read two numbers and then print all numbers between the first and the second, inclusive. Design unambiguous grammar to parse expressions
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We showed to prove that if L can be identified by DFA then the language left half(L) = {x ∈ ∑*|∃y xy ∈ L and |x| = |y|} is also regular; here |x| means length of x.
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How many equivalence classes does this relation have and what are they? Use these equivalence classes to construct the minimal DFA for the language.
Express the following set as a regular expression: The set of all strings of length at least three over {0,1} such that every three consecutive.
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