CSE322 Minimization of finite Automaton & REGULAR LANGUAGES

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Presentation transcript:

CSE322 Minimization of finite Automaton & REGULAR LANGUAGES Lecture #5

Definitions

Properties

Construction of Minimum Automaton

Problem Construct a minimum state automaton equivalent to finite automaton

Solution

Regular Languages Definition: A language is regular if there is FA such that Observation: All languages accepted by FAs form the family of regular languages

Examples of regular languages: { all strings with prefix } { all strings without substring } There exist automata that accept these Languages (see previous slides).

There exist languages which are not Regular: Example: There is no FA that accepts such a language (we will prove this later in the class)