PPT-Minimization of Symbolic Automata

Presented By Loris DAntoni Joint work with Margus Veanes 012414 POPL14 What is automata minimization 2 Deterministic Finite Automaton 3 a b q 0 q a b A Qq 0 F δ. 2 Standard Minimization Problems Minimization with constraints Example Solve the linear programming problem minimize 4 2 2 10 4 12 xyz Standard Minimization Problems 1 Objective function is minimized 2 All variables are nonnegative 3 All constrai THEORY. II B. Questions Answers(DFA-NFA) . Dept. of Computer Science & IT, FUUAST Automata Theory . 2. Automata Theory II B. For .  = {a, b} construct DFA that accepts all strings with exactly one ‘a’ .. 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’(. THEORY. I. Introduction. What is Automata. Automaton and types of automata. History, Turing Machine. Why study Automata Theory. e) Applications & Uses. Dept. of Computer Science & IT, FUUAST Automata Theory . Presented By:. Loris D’Antoni . Joint work with:. Margus. . Veanes. Outline. Symbolic Automata and Transducers. Extended Symbolic Automata and Transducers. Some negative results. Some positive results. THEORY. VII. Dept. of Computer Science & IT, FUUAST Automata Theory . 2. Automata Theory VII. Properties of Context-Free Languages. Dept. of Computer Science & IT, FUUAST Automata Theory . THEORY. V. Dept. of Computer Science & IT, FUUAST Automata Theory . 2. Automata Theory V. Context-Free Grammars. and . Languages. A . 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!. 29-September-2011. Modeling Temporal Behavior of Component. Component behaves with Environment. Traditional (pessimistic) approach. Environment is free to behave as it wants to. Two components are compatible if . 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’. . Characterization. of. Context-Free. . Trace. . Languages. Benedek Nagy. Friedrich Otto. Department. of Computer Science . Fachbereich. . Elektrotechnik. /. Informatik. Faculty. of . Pierre Bourhis . CNRS . CRIStAL. , Equipe LINKS. Joint . works. . with. . M.Benedikt. , . M.Krötzsch. , S. Rudolph, P. Senellart, M. Van Den Boom. 1. Querying a database . Database : a labelled graph or hypergraph. Jeremiah Blocki. , Nicolas Christin, . Anupam Datta, Arunesh Sinha . 1. GameSec. 2013 – Invited Paper. Outline. 2. Motivation. Background. Bounded Memory . Games. Adaptive Regret. Results. Deborah Gore. PERCS Unit. December 17, 2013. Background. Statewide TMDL for HG. Statewide fish consumption advisory. 67% reduction from 2002 baseline. The waters have moved to Category 4. 2% of Hg from point sources.