PPT-The Pumping Lemma

Proving a Language is Not Regular Dr Cynthia Lee UCSD Spring 2011 Theory of Computation Peer Instruction Lecture Slides by  Dr Cynthia Lee UCSD  are licensed under a  Creative Commons Attribution. -i ? ? -i+isapull-back.SowehavetheCorollary.AnypropermapbetweenlocallycompactHausdorspacesisuniversallyclosed.Anotherrelevantfact:Lemma.LetBbealocallycompactHausdorspaceandletX!Ybeanyquotientmap.Th degree. Raphael Yuster. 2012. Problems concerning edge-disjoint subgraphs that share some specified property are extensively studied in graph . theory.. Many fundamental problems can be formulated in this . The Zone Theorem. The Cutting Lemma Revisited. 1. The Zone Theorem. 2. Definitions reminders. Is a sub-space of d-1 dimensions.. Is a partition of into relatively open convex sets.. Are 0/1/(d-1)-dimension faces (respectively) in .. Lecture4: Non Regular Languages. Prof. Amos Israeli. Motivate the Pumping Lemma. . Present and demonstrate the . pumping. concept.. Present and prove the . Pumping Lemma. .. Use the pumping lemma to . Partitioning. By Or . Yarnitzky. 1. Introduction. Based on “Simple Proofs of Classical Theorem in Discrete Geometry” by Kaplan, . Matousek. and . Sharir. , . arXiv. : . 1102.5391, 2011.. 2. Introduction. Jiri. . Matousek. . Presented By. Benny Schlesinger. Omer Tavori. 1. Simplex Range Searching. Simplex range searching: We preprocess . a set P of n points in so that, given any query region . 學 生：王薇婷. 3. First Passage Time Model . I. ntroduction. The. First-passage-time approach . extends the original Merton model by accounting for the observed feature.. The default not only at the debt’s maturity, but also prior to this date.. Partitioning. By Or . Yarnitzky. 1. Introduction. Based on “Simple Proofs of Classical Theorem in Discrete Geometry” by Kaplan, . Matousek. and . Sharir. , . arXiv. : . 1102.5391, 2011.. 2. Introduction. Algorithms. Dynamic Programming. Dijkstra’s. Algorithm. Faster All-Pairs Shortest Path. Floyd-. Warshall. Algorithm. Dynamic Programming. Dynamic Programming. Lemma. Proof. Theorem. 2. -1. -1. 2. Geometric . Approximation . Algorithms seminar. Idan. . Attias. 11/1/2016. Outline of the lecture. Definitions.. Application:. Covering by Disks.. Shifting . Quadtrees. .. Hierarchical Representation of a Point Set:. Regular Languages. Regular languages are the languages which are accepted by a Finite Automaton.. Not all languages are regular. Non-Regular Languages. L. 0. = {. a. k. b. k. : k≤0} = . {ε}. is a regular language. Fall 2017. http://cseweb.ucsd.edu/. classes/fa17/cse105-a/. Today's learning goals . Sipser Ch 1.4. Explain the limits of the class of regular languages. Justify why the Pumping Lemma is true. Apply the Pumping Lemma in proofs of . Corpus search. These notes . introduce. some practical tools to find patterns:. regular expressions. A general formalism to represent . finite-state automata. the . corpus query language (. CQL. /CQP. Last time: . - Context free grammars (CFGs) . - Context free languages (CFLs). - Pushdown automata (PDA). - Converting CFGs to PDAs. Today: . (Sipser §2.3, §3.1) . - Proving languages not Context Free.