PPT-Finite Automata

Great Theoretical Ideas In Computer Science Anupam Gupta Danny Sleator CS 15251 Fall 2010 Lecture 20 Oct 28 2010 Carnegie Mellon University A machine so simple that you can understand it in less than one minute. Each one tape automaton defines a set of tapes a twotape automaton defines a set of pairs of tapes et cetera The structure of the defined sets is studied Various generalizations of the notion of an automaton are introduced and their relation to the Rational . A. utomata. : . a . bridge unifying . 1d and. . 2d. language. . theory. Marcella Anselmo Dora . Giammarresi. Maria . Madonia. . Univ. . . of. Salerno. . . Univ. . Roma . Introduce finite state automata. Able to capture state, events and dynamic behavior of “man-made systems”. Present logical properties. Textbook :. C. . Cassandras. and S. . Lafortune. , Introduction to Discrete Event Systems, Springer, 2007. THEORY. II. 1. . Defs. .. . a) Finite Automaton:. A Finite Automaton ( FA ) has finite set of ‘states’ ( Q={q. 0,. q. 1,. q. 2,. ….. ) and its ‘control’ moves from state to state in response to external ‘inputs’(. Ruby Regular Expressions. Why Learn Regular Expressions?. RegEx. are part of many programmer’s tools. vi, . grep. , PHP, Perl. They provide powerful search (via pattern matching) capabilities. Simple . Zhe. Dang. Dmitry . Dementyev. Thomas R. Fischer. William J. Hutton, III. Washington State University – Pullman, WA USA. Overview. Introduction. Mathematical foundation for computer security. The “CIA” triad. Reading: Chapter 1. 2. What is Automata Theory?. Study of abstract computing devices, or “machines”. Automaton = an abstract computing device. Note:. A “device” need not even be a physical hardware!. Reading: Chapter 2. 2. Finite Automaton (FA). Informally, a state diagram that comprehensively captures all possible states and transitions that a machine can take while responding to a stream or sequence of input symbols. Sambhav. . Jain. IIIT Hyderabad. Think !!!. How to store a dictionary in computer?. How to search for an entry in that dictionary?. Say you have each word length exactly equal to 10 characters and can take any letter from ‘a-z’. Systems. Model Checking Timed Automata . Sayan. . Mitra. Lecture 09. What we have seen so far . A very general modeling framework (Lynch et al.’s Hybrid Automata[1]) . Complex discrete dynamics. Possibly nonlinear continuous dynamics. This course: A study of . abstract. . models of computers and computation.. Why theory, when computer field is so practical?. Theory provides concepts and principles, for both hardware and software that help us understand the general nature of the field.. 2. Finite Automaton (FA). Informally, a state diagram that comprehensively captures all possible states and transitions that a machine can take while responding to a stream or sequence of input symbols. Learning . Objectives. At the conclusion of the chapter, the student will be able to:. Describe the components of a deterministic finite accepter (. dfa. ). State whether an input string is accepted by a dfa. Chapter 2 FINITE AUTOMATA Learning Objectives At the conclusion of the chapter, the student will be able to: Describe the components of a deterministic finite accepter ( dfa ) State whether an input string is accepted by a dfa