tailieunhanh - Lecture note Theory of automata - Lecture 27

The following will be discussed in this chapter: Pumping lemma version II, example of pumping lemma version II, Myhill Nerode theorem, example of Myhill Nerode theorem, Instruction for saad. | Lecture note Theory of automata - Lecture 27 Lecture 3 Theory Of Automata By Dr. MM Alam Lecture 2 Recap Kleene Closure Examples of Kleene Closure. Plus Operation Prove that for all sets S i S S ii S S iii Is S S for all sets S S all concatenations of words in S excluding Λ . S Λ and all concatenations of words in S S Λ and all concatenations of words in S S Λ and all concatenations of words in S Λ and all concatenations of Λ and all concatenations of words in S Λ and all concatenations of words in S S Therefore S S S ii S S S all concatenations of words in S excluding Λ S all concatenations of words in S excluding Λ all concatenations of all concatenations of words in S excluding Λ excluding Λ all concatenations of words in S excluding Λ S iii Is S S for all sets S S Λ and all concatenations of words in S S all concatenations of words in S but not Λ S already contains Λ so S contains Λ too since it s part of the language. No new words are added with the operator so S S . S all concatenations of words in S without Λ S Λ and all concatenations of words in S Λ and all concatenations of all concatenations of words in S not Λ Λ and all concatenations of words in S S The external operator only added Λ to the Let S a bb bab abaab . Is abbabaabab in S Is abaabbabbaab Does any word in S have an odd total number of b s a bb abaab ab can t be factored into substrings from S so it is not in the language. abaab bab b a a bb can t be factored into substrings from S so it s not in the language. It is not possible to have an odd no of b s. The reason is that even b s even b s even b s Suppose that for some language L we can always concatenate two words in L and get another word in L if and only if the words are not the same. That is for any words w1 and w2 in L where w1 w2 the word w1w2 is in L but the word w1w1 is not in L. Prove that this cannot happen. w1 L and w2 L 2 different words therefore w1 w2 L w1w2 L and w1 L 2 different words Let us define S S Is this set bigger .

• Tự động hoá
• Theory of automata
• Lecture Theory of automata
• Computer theory
• Theory of computation
• Pumping lemma version II
• Myhill Nerode theorem
• 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