How do we define the DFA
- a 5-tuple (Q, Σ, δ, s, F), where
- a set of states Q -- finite set
- an alphabet Σ -- finite, non-empty set
- a start state s in Q
- a set of final states F contained in Q
- a transition function d is the function Q * Σ → Q
- go through the formal definition
How does an FA works
Definition
- Let M = (Q, Σ, δ, s, F) be a DFA, and ω ε Σ *. We say M accepts w if (s,ω)-|*M (f,ε), when f ε F. Else, we say M rejects ω.
(s, 001101) -|*M (f,ε) \ M accepts 001101
(s, 01001) -|*M (s,ε) \ M rejects 01001
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