tailieunhanh - Lecture note Theory of automata - Lecture 28

The following will be discussed in this chapter: Examples of Myhill Nerode theorem, Quotient of a language, examples, Pseudo theorem: Quotient of a language is regular, prefixes of a language, example. | Lecture note Theory of automata - Lecture 28 Lecture 4 Theory Of Automata By Dr. MM Alam Lecture 3 Recap Plus Operation Examples Four way of defining languages Examples for Descriptive way of defining languages Recursive way A recursive definition is fundamentally a three- step process We specify some basic objects in the set. The number of basic objects specified must be finite. This means that we write some basic facts about the set Second we give a finite number of basic rules for constructing more objects in the set from the ones we already know. Finally we provide declaration that no objects Language of Integer Defining language of INTEGER Rule 1 1 is in INTEGER. Rule 2 If x is in INTEGER then x 1 and x-1 are also in INTEGER. Rule 3 No strings except those constructed in above are allowed to be in INTEGER. Defining the language L of strings beginning and ending in different letters defined over Σ a b Rule 1 ab and ba are in L Rule 2 a s b and b s a are also in L where s belongs to Σ Rule 3 No strings except those constructed in above are allowed to be in L Factorial Example Lets consider the language of factorial Rule 1 We know that 0 1 so 1 is in factorial. Rule 2 Also n n n-1 is in factorial. Rule 3 Thus no strings except those constructed in above are allowed to be in factorial. Consider the set P-EVEN which is the set of positive even numbers. Method 1 We can define P-EVEN to be the set of all positive integers that are evenly divisible by 2. OR P-EVEN is the set of all 2n where n 1 2 . . . P-EVEN is defined by these three rules How to apply a recursive definition In particular to show that 12 is in P-EVEN using the last definition we would have to do the following 2 is in P-EVEN by Rule 1. 2 2 4 is in P-EVEN by Rule 2. 4 2 6 is in P-EVEN by Rule 2. 6 2 8 is in P-EVEN by Rule 2. 8 2 10 is in P-EVEN by Rule 2. 10 2 12 is in P-EVEN by Rule 2. Method 2 We can make another definition for P-EVEN as follows Rule 1 2 is in P-EVEN. Rule 2 If x and y are both in

• Tự động hoá
• Theory of automata
• Lecture Theory of automata
• Computer theory
• Theory of computation
• Myhill Nerode theorem
• Quotient of a language
• Formal Languages & Automata
• Pushdown Automata
• Finite Automata
• Non deterministic Pushdown Automata
• Instantaneous Description
• Language accepted by NPDA
• Deterministic Finite Automata (DFA)
• Operational Manner
• Transition Graphs
• Extended Transition Function
• Automata theory
• Automata theory languages
• Automata theory computation
• Context Free grammars
• Regular languages
• Automata hữu hạn
• Đoán nhận ngôn ngữ
• Biểu diễn automata
• Xây dựng automata
• xây dựng DFA
• Automata Model
• Settlement Development
• Automata Framework
• Cellular Automata
• Transport Equations
• Population Dynamics
• isaster Areas
• Bus Dynamics
• A Hierarchy of Formal Languages and Automata
• ecursively Enumerable Languages
• Recursive Languages
• Unrestricted Grammars
• Context Sensitive Grammars
• Tin học lý thuyết
• Bài giảng Tin học lý thuyết
• Automata đẩy xuống
• Push Down Automata
• PDA đơn định
• PDA không đơn định
• Additional classes
• Intractable problems
• Properties of context free languages
• Introduction to automata theory languages and compution
• Regular expressions
• Properties of regular sets
• chương trình đồ họa
• giáo trình thiết kế
• thiết kế đồ họa
• lý thuyết automata
• tài liệu về automata
• tài liệu về pushdown automata
• ngôn ngữ lập trình
• Logical Computation
• Quantum Computations
• Automata Application
• Organizing Networks
• Molecular Orbitals
• Disordered Cellular automata
• Traffic flow models
• Automata traffic
• Nagel Schreckenberg
• Deceleration terms
• Cellular Automata in transportation
• Evaluating Dynamic
• Three Basic Concepts
• Languages Grammars Automata
• Input file
• Control unit
• String in L
• Introduction Formal Languages & Automata
• A formal language
• An automaton
• Fundamental ideas
• Models underlying computing
• Văn phạm phi ngữ cảnh
• Ngôn ngữ hình thức
• Văn phạm hình thức và các Automata
• Trình biên dịch
• Solution of the task
• Polish notation
• Total language tree
• Null production
• Nullable production
• Theorem regarding CNF
• The START state
• Nondeterministic PDA
• Equivalent PDA
• PDA corresponding to CFG
• STACK alphabet
• Computer science
• CFG corresponding