Formal definition of DFA
What is the formal definition of DFA ?
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A deterministic finite automaton is a 5-tuple
(Q, Σ, δ, q0, F)
- Q is a finite set called the states- Σ is a finite set called the alphabet- δ:Q x Σ→ Q is a function called the transition function - q0 is an element of Q called the start state- F is a subset of Q called the accept states
Let REGEXP be the language of valid regular expressions over {a, b}. That is, REGEXP is the set of all strings over the symbols Σ= {a, b, (,), U,*, ^} that are valid regular expressions. For example, the string “a (a U b)" is in REGEXP, whereas the string
Give an algorithm that, given a grammar G = (V, Σ, R, S), decides whether the grammar G can derive the empty string.
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Proof the theorem that the class of regular languages is closed under union; that is, if L1 is recognized by a NFA and L2 is recognized by a NFA, then L1 υ L2 is recognized by a NFA as well.
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Let s1 and s2 be two strings of lengths m and n respectively. By definition, a superstring of s1 and s2 is one which contains s1 and s2 as substrings. Give a dynamic programming algorithm to compute a shortest superstring of t
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