Chapter1Section1_F11

Chapter1Section1_F11 - 91.304 Foundations of(Theoretical...

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Unformatted text preview: 91.304 Foundations of (Theoretical) Computer Science Chapter 1 Lecture Notes (Section 1.1: DFA’s) David Martin [email protected] uml edu [email protected] With some modifications by Prof. Karen Daniels, Fall 2011 This work is licensed under the Creative Commons Attribution-ShareAlike License. To view a copy of this license, visit http://creativecommons.org/licenses/by- 1 sa/2.0/ or send a letter to Creative Commons, 559 Nathan Abbott Way, Stanford, California 94305, USA. Chapter 1: Regular Languages ¡ Simple model of computation ¡ Input a string, and either accept or reject it ¢ Models a very simple type of function, a redicate on strings: predicate on strings: f : Σ * → {0,1} ee example of a tate- ansition ¢ See example of a state transition diagram 2 Syntax of DFA eterministic finite automaton (DFA) ¡ A deterministic finite automaton (DFA) is a 5-tuple (Q, Σ , δ ,q ,F) such that 1. is a finite et of states Q s a te set o states 2. Σ (“sigma”) is an alphabet ( finite set) 3. δ :Q × Σ → Q (“delta”) is the transition function 4. q ∈ Q (“q naught”) is the start state 5. F ⊆ Q is the set of accepting states sually these names are used but others...
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This note was uploaded on 02/13/2012 for the course CS 91.304 taught by Professor Staff during the Fall '11 term at UMass Lowell.

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Chapter1Section1_F11 - 91.304 Foundations of(Theoretical...

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