Theory of Computation TOC Automata and Its Power.<\/p>\n
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Sure! Here is a clear and concise explanation of Automata and Its Power<\/strong> in the Theory of Computation (TOC)<\/strong> \u2014 great for beginners or exam preparation like GATE, UGC NET, B.Tech, or CS\/IT syllabus.<\/p>\n An Automaton<\/strong> (plural: Automata) is an abstract machine<\/strong> that takes input strings and either accepts or rejects<\/strong> them based on a set of rules (transitions).<\/p>\n It is a mathematical model used to describe and analyze computation<\/strong> and languages<\/strong>.<\/p>\n<\/blockquote>\n To understand what computers can and cannot do<\/strong><\/p>\n<\/li>\n To classify languages by their complexity<\/strong><\/p>\n<\/li>\n It forms the basis for compiler design<\/strong>, parsing<\/strong>, and language recognition<\/strong><\/p>\n<\/li>\n<\/ul>\n Types<\/strong>: DFA (Deterministic), NFA (Non-deterministic)<\/p>\n<\/li>\n Power: Can recognize regular languages<\/strong><\/p>\n<\/li>\n Limitation: Cannot count or match nested patterns<\/p>\n<\/li>\n<\/ul>\n Adds a stack<\/strong> to FA<\/p>\n<\/li>\n Recognizes context-free languages<\/strong><\/p>\n<\/li>\n Example: Valid parentheses A restricted Turing machine with limited tape<\/p>\n<\/li>\n Recognizes context-sensitive languages<\/strong><\/p>\n<\/li>\n More powerful than PDA<\/p>\n<\/li>\n<\/ul>\n Most powerful automaton<\/p>\n<\/li>\n Infinite memory (tape)<\/p>\n<\/li>\n Can simulate any computation<\/p>\n<\/li>\n Basis for real-world computers<\/p>\n<\/li>\n<\/ul>\n
\n\ud83d\udcd8 Theory of Computation (TOC)<\/strong><\/h1>\n
\ud83c\udf00 Automata and Its Power<\/strong><\/h2>\n
\n\u2705 What is Automata?<\/strong><\/h2>\n
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\n\ud83d\udd0d Why Study Automata?<\/strong><\/h2>\n
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\n\u2699\ufe0f Types of Automata & Their Power (Hierarchy)<\/strong><\/h2>\n
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\n \nAutomaton Type<\/th>\n Language Class<\/th>\n Memory Used<\/th>\n Example Language<\/th>\n<\/tr>\n<\/thead>\n \n Finite Automata (FA)<\/strong><\/td>\n Regular Languages<\/td>\n No memory<\/td>\n a*b<\/code>, (ab)*<\/code><\/td>\n<\/tr>\n\n Pushdown Automata (PDA)<\/strong><\/td>\n Context-Free Languages<\/td>\n Stack<\/td>\n a\u207fb\u207f<\/code><\/td>\n<\/tr>\n\n Linear Bounded Automata (LBA)<\/strong><\/td>\n Context-Sensitive Languages<\/td>\n Bounded tape<\/td>\n a\u207fb\u207fc\u207f<\/code><\/td>\n<\/tr>\n\n Turing Machine (TM)<\/strong><\/td>\n Recursively Enumerable<\/td>\n Infinite tape<\/td>\n Any computable language<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n\ud83d\udca1 1. Finite Automata (FA):<\/strong><\/h2>\n
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\n\ud83d\udca1 2. Pushdown Automata (PDA):<\/strong><\/h2>\n
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(()())<\/code><\/p>\n<\/li>\n<\/ul>\n
\n\ud83d\udca1 3. Linear Bounded Automata (LBA):<\/strong><\/h2>\n
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\n\ud83d\udca1 4. Turing Machine (TM):<\/strong><\/h2>\n
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\n\ud83d\udd3c Chomsky Hierarchy (Power of Automata)<\/strong><\/h2>\n