Understanding DFA in Theory of Computation with Examples 🤖

Learn what Deterministic Finite Automata (DFA) is, how it functions, and see practical examples to grasp the concept of automata in the Theory of Computation.

CSE ACADEMY9.6K views16:20

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There is a single (unique) transition from one state to other with a single input alphabet, then that Automata is called as Deterministic Finite Automata (DFA). In DFA, each and every state should contain exactly one out degree for each input symbol of alphabet. It is represented as 5 tuples. M = (Q, 𝜮, 𝜹, qo, F) Where, Q → Set of finite states 𝜮 → Set of input alphabet qo → Initial state F → Set of final states 𝜹 → Transition function or mapping functions defined as 𝜹: Q × 𝜮 → Q Consider the following example: DFA for starting with a over 𝛴 = {a,b} Representation of DFA: Transition diagram: Q = {A, B, C} qo = A F = { B } 𝛴 = { a,b} Transition function: 𝜹: Q × 𝜮 → Q 𝛿(𝐴, 𝑎) → 𝐵, 𝛿(𝐴, 𝑏) → 𝐶 𝛿(𝐵, 𝑎) → 𝐵 , 𝛿(𝐵, b) → 𝐵 𝛿(𝐶, 𝑎) → 𝐶 , 𝛿(𝐶, 𝑎) → C ⭐ Courses Playlist ⭐ 🔗 THEORY OF COMPUTATION https://www.youtube.com/playlist?list=PLS6nugESt9lL2Ty58dt59vjwqID4k8v2H 🔗FUZZY SET: https://www.youtube.com/playlist?list=PLS6nugESt9lLeVTXWMD_NXNVAKAC8RYDg 🔗SYSTEM PROGRAMMING (SP): https://www.youtube.com/playlist?list=PLS6nugESt9lIGSB_qxapdJh46j_5Hwhlq 🔗COMPILER DESIGN | COMPILER | LANGUAGE PROCESSOR: https://www.youtube.com/playlist?list=PLS6nugESt9lLXiC2WFznm4Gly6dykw5Oo 🔗DESIGN AND ANALYSIS OF ALGORITHMS (DAA)| ALGORITHM: https://www.youtube.com/playlist?list=PLS6nugESt9lJ2rluFZTYq8YnpRD1rm5Wf 🔗Computer Architecture and Digital System: https://www.youtube.com/playlist?list=PLS6nugESt9lKerCOnI48acy6hwmEJvtEG 🔗COMPUTER GRAPHICS (CG) BY. AHMAD SIR: https://www.youtube.com/playlist?list=PLS6nugESt9lIhGBQstlBiRjIgjC_us7-V By @cseacademyahmadsir #introductiontofiniteautomata #toc #automatatheory #byahmadsir #cseacademy #dfa #toc automata theory theory of computation finite automata Concepts of finite Automata Definition of fine automata Types of finite Automata compiler design Finite automata as a language acceptor and translator deterministic finite automata Introduction to deterministic finite automata (dfa) Theory of computation full course Formal language and automata theory Representation of dfa Transition diagram of dfa Transition table of dfa Toc by Ahmad sir Toc by cse academy Gate cse Computer science engineering Btech semester exam #TheoryOfComputation #AutomataTheory #TOCByAhmadsir
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