Automata and Formal Language (chapter 1) pot

... ngôn ngữ hình thức. Hồ Văn Quân • An introduction to formal languages and automata. Peter Linz • Introduction to automata theory, languages, and computation. John Hopcroft & Jeffrey Ullman Automaton ... Language (cont’d) • Language: a subset L of Σ* • Sentence: a string in L • Example 1.3: In Example 1.2, L is a language on Σ, w is a string of Σ but not a sentence in L Fo...

Ngày tải lên: 14/07/2014, 02:20

... erase A and move to q k if receiving a and at q j erase BC and move to q k At q i erase A and move to q k if receiving a and at q j erase B and move to q m and at q m erase C and move ... A and move to q k if receiving a and at q j erase B and move to q m and at q m erase C and move to q k (q i Aq k ) → a(q j Bq m )(q m Cq k ) 2 Pushdown Automata • There a...

Ngày tải lên: 14/07/2014, 02:20

... of the form: A → xB A → x A, B ∈ V and x ∈ T * Theorem 3.4 L is a regular language iff there exists a regular grammar G such that L = L(G). Regular Language and Regular Grammar Example 3.3 r ... Recalled • Formal grammar: G = (V, T, S, P) V: finite set of variables T: finite set of terminal symbols S∈V: start variable P: finite set of productions Equivalent Regular Expression r 1...

Ngày tải lên: 14/07/2014, 02:20

... F and y ∈ L 2 q 1 q 2 b b Questions about RL 2. Is there an algorithm to determine whether or not a regular language is empty, finite, or infinite?. Yes. Right Quotient Let L 1 and L 2 be languages ... L 1 and y ∈ L 2 } Homomorphism (cont’d) If L is a language on Σ, then its homomorphic image is defined as: h(L) = {h(w): w ∈ L} Questions about RL 3. Given two regular languages L...

Ngày tải lên: 14/07/2014, 02:20

... (cont’d) Proof: • Draw the variable dependency graph for G 1 and find all variables that cannot be reached from S. • Remove those variables and the productions involving them. • Eliminate any terminal ... V 1 . • Reduce the length of the right sides of the productions: 1. Put all productions A → a and A → BC into P^. 2. Repeat until no more productions are added to P^: For each...

Ngày tải lên: 14/07/2014, 02:20

... ngôn ngữ hình thức. Hồ Văn Quân • An introduction to formal languages and automata. Peter Linz • Introduction to automata theory, languages, and computation. John Hopcroft & Jeffrey Ullman Storage  A ... configuration Generated Language G = (V, T, S, P) L(G) = {w∈T* | S ⇒* w} • Example 1.8: Take into consideration the grammar given in Example 1.6: L(G) = {a n b n | n ≥ 0}...

Ngày tải lên: 13/05/2014, 10:21

Ngày tải lên: 04/07/2014, 13:20

... Ab A → aAb A → λ 3 Formal Languages & Automata A formal language:  Is an abstraction of the general characteristics of programming languages.  Consists of a set of symbols and some formation ... trên. 15 Languages  Language concatenation: L1L2 = {xy | x∈L1, y∈L2} L n = L L L (n times) L 0 = {λ} 13 Languages  Language: a subset L of Σ *  Word or Sentence: a string in L...

Ngày tải lên: 11/07/2014, 19:20

... pub- li c“namerecognition”makesitselfknownthroughthemediatotheregulatoryand technical community and has prompted interest in sponsoring research that denes the composition and concentrations of PPCPs in potential sources and their fate and effects following ... Scientic and Environmental Affairs Fellowship, and the Alexander von Humboldt Research Fellowship. © 2008 by Taylor &am...

Ngày tải lên: 18/06/2014, 16:20

... international audiences and senior management and decision makers. He is author and co-author of over 140 publications, and teaches widely on information policy, strategy, and society. Mike is ... cost of collection and maintenance, on distribution and use, and on legal, commercial, and privacy issues. This introductory chapter explores these denitions in more detail a...

Ngày tải lên: 18/06/2014, 16:20