PDF-UC Berkeley CS Automata Computability and Complexity

C Berkeley CS172 Automata Computability and Complexity Handout 1 Professor Luca Trevisan 232015 Notes on State Minimization These notes present a technique to prove a lower bound on the number of states of any D. 045J18400J utomata Computability and Complexity Prof Nanc ynch Recitation 4 Distinguishable strings and indices ebruary 29 2007 Elena Grigor escu Pr oblem Quiz Questions Pr oblem Recall quiz question Ar gue t C Berkeley CS172 Automata Computability and Complexity Solutions to Problem Set 4 Professor Luca Trevisan 2232007 Solutions to Problem Set 4 1 Sipser Problem 313 A Turing machine with stay put instead of le Outline We simply determine if is the same as its reversal language This works because the reverse of the implication in the de64257nition of must also be true for any machine in by reversing twice Proof Consider a TM which on input does the follo 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 . J Paul Gibson. TSP: . Mathematical. . Foundations. MAT7003/. L7-. Computability. .. 1. MAT 7003 : Mathematical Foundations. (for Software Engineering). J . Paul. Gibson, A207. paul.gibson@it-sudparis.eu. 15-453. TexPoint fonts used in EMF. . Read the TexPoint manual before you delete this box.: . A. A. MINIMIZING . DFAs. THURSDAY Jan . 24. IS THIS . MINIMAL?. 1. 1. 1. 1. 0. 0. 0. 0. NO. IS THIS . MINIMAL?. 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 . 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 . . 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. Jeff Edmonds . York University. Lecture. . 0. COSC 4111. Jeff Edmonds . www.cse.yorku.ca\~jeff. jeff@cse.yorku.ca. CSB 3044, ext. 33295. 416-538-7413 . . . Course Material. www.cse.yorku.ca\~jeff\courses\4111.