1 / 57

Finite Automata

Finite Automata. Finite Automaton. Input. String. Output. Finite Automaton. String. Finite Accepter. Input. String. Output. “Accept” or “Reject”. Finite Automaton. Transition Graph. Abba -Finite Accepter. initial state. final state “accept”. transition. state.

ostinmannual
Download Presentation

Finite Automata

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Finite Automata Costas Busch - RPI

  2. Finite Automaton Input String Output Finite Automaton String Costas Busch - RPI

  3. Finite Accepter Input String Output “Accept” or “Reject” Finite Automaton Costas Busch - RPI

  4. Transition Graph Abba -Finite Accepter initial state final state “accept” transition state Costas Busch - RPI

  5. Initial Configuration Input String Costas Busch - RPI

  6. Reading the Input Costas Busch - RPI

  7. Costas Busch - RPI

  8. Costas Busch - RPI

  9. Costas Busch - RPI

  10. Input finished Output: “accept” Costas Busch - RPI

  11. Rejection Costas Busch - RPI

  12. Costas Busch - RPI

  13. Costas Busch - RPI

  14. Costas Busch - RPI

  15. Input finished Output: “reject” Costas Busch - RPI

  16. Another Rejection Costas Busch - RPI

  17. Output: “reject” Costas Busch - RPI

  18. Another Example Costas Busch - RPI

  19. Costas Busch - RPI

  20. Costas Busch - RPI

  21. Costas Busch - RPI

  22. Input finished Output: “accept” Costas Busch - RPI

  23. Rejection Costas Busch - RPI

  24. Costas Busch - RPI

  25. Costas Busch - RPI

  26. Costas Busch - RPI

  27. Input finished Output: “reject” Costas Busch - RPI

  28. Formalities • Deterministic Finite Accepter (DFA) : set of states : input alphabet : transition function : initial state : set of final states Costas Busch - RPI

  29. Input Alphabet Costas Busch - RPI

  30. Set of States Costas Busch - RPI

  31. Initial State Costas Busch - RPI

  32. Set of Final States Costas Busch - RPI

  33. Transition Function Costas Busch - RPI

  34. Costas Busch - RPI

  35. Costas Busch - RPI

  36. Costas Busch - RPI

  37. Transition Function Costas Busch - RPI

  38. Extended Transition Function Costas Busch - RPI

  39. Costas Busch - RPI

  40. Costas Busch - RPI

  41. Costas Busch - RPI

  42. Observation: There is a walk from to with label Costas Busch - RPI

  43. Example: There is a walk from to with label Costas Busch - RPI

  44. Recursive Definition Costas Busch - RPI

  45. Costas Busch - RPI

  46. Languages Accepted by DFAs • Take DFA • Definition: • The language contains • all input strings accepted by • = { strings that drive to a final state} Costas Busch - RPI

  47. Example accept Costas Busch - RPI

  48. Another Example accept accept accept Costas Busch - RPI

  49. Formally • For a DFA • Language accepted by : Costas Busch - RPI

  50. Observation • Language rejected by : Costas Busch - RPI

More Related