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A Turing machine computing the reverse function (Figure 7.11)

A Turing machine computing the reverse function (Figure 7.11). JianSyuan Wong. q 0 ∆aabb. q 0 ∆aabb Ⱶ ∆q 1 aabb. q 0 ∆aabb Ⱶ ∆q 1 aabb Ⱶ ∆Aq 2 abb. q 0 ∆aabb Ⱶ ∆q 1 aabb Ⱶ ∆Aq 2 abb Ⱶ ∆Aaq 2 bb. q 0 ∆aabb Ⱶ ∆q 1 aabb Ⱶ ∆Aq 2 abb Ⱶ ∆Aaq 2 bb Ⱶ ∆Aabq 2 b. q 0 ∆aabb.

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A Turing machine computing the reverse function (Figure 7.11)

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  1. A Turing machine computing the reverse function(Figure 7.11) JianSyuan Wong

  2. q0∆aabb

  3. q0∆aabb Ⱶ ∆q1aabb

  4. q0∆aabb Ⱶ ∆q1aabb Ⱶ ∆Aq2abb

  5. q0∆aabb Ⱶ ∆q1aabb Ⱶ ∆Aq2abb Ⱶ ∆Aaq2bb

  6. q0∆aabb Ⱶ ∆q1aabb Ⱶ ∆Aq2abb Ⱶ ∆Aaq2bb Ⱶ ∆Aabq2b

  7. q0∆aabb Ⱶ ∆q1aabb Ⱶ ∆Aq2abb Ⱶ ∆Aaq2bb Ⱶ ∆Aabq2b Ⱶ ∆Aabbq2∆

  8. q0∆aabb Ⱶ ∆q1aabb Ⱶ ∆Aq2abb Ⱶ ∆Aaq2bb Ⱶ ∆Aabq2b Ⱶ ∆Aabbq2∆ Ⱶ ∆Aabq3b

  9. q0∆aabb Ⱶ ∆q1aabb Ⱶ ∆Aq2abb Ⱶ ∆Aaq2bb Ⱶ ∆Aabq2b Ⱶ ∆Aabbq2∆ Ⱶ ∆Aabq3b Ⱶ ∆Aaq7bA

  10. q0∆aabb Ⱶ ∆q1aabb Ⱶ ∆Aq2abb Ⱶ ∆Aaq2bb Ⱶ ∆Aabq2b Ⱶ ∆Aabbq2∆ Ⱶ ∆Aabq3b Ⱶ ∆Aaq7bA Ⱶ ∆Aq7abA

  11. q0∆aabb Ⱶ ∆q1aabb Ⱶ ∆Aq2abb Ⱶ ∆Aaq2bb Ⱶ ∆Aabq2b Ⱶ ∆Aabbq2∆ Ⱶ ∆Aabq3b Ⱶ ∆Aaq7bA Ⱶ ∆Aq7abA Ⱶ ∆q7AabA

  12. q0∆aabb Ⱶ ∆q1aabb Ⱶ ∆Aq2abb Ⱶ ∆Aaq2bb Ⱶ ∆Aabq2b Ⱶ ∆Aabbq2∆ Ⱶ ∆Aabq3b Ⱶ ∆Aaq7bA Ⱶ ∆Aq7abA Ⱶ ∆q7AabA Ⱶ ∆Bq1abA

  13. q0∆aabb Ⱶ ∆q1aabb Ⱶ ∆Aq2abb Ⱶ ∆Aaq2bb Ⱶ ∆Aabq2b Ⱶ ∆Aabbq2∆ Ⱶ ∆Aabq3b Ⱶ ∆Aaq7bA Ⱶ ∆Aq7abA Ⱶ ∆q7AabA Ⱶ ∆Bq1abA Ⱶ ∆BAq2bA

  14. q0∆aabb Ⱶ ∆q1aabb Ⱶ ∆Aq2abb Ⱶ ∆Aaq2bb Ⱶ ∆Aabq2b Ⱶ ∆Aabbq2∆ Ⱶ ∆Aabq3b Ⱶ ∆Aaq7bA Ⱶ ∆Aq7abA Ⱶ ∆q7AabA Ⱶ ∆Bq1abA Ⱶ ∆BAq2bA Ⱶ ∆BAbq2A

  15. q0∆aabb Ⱶ ∆q1aabb Ⱶ ∆Aq2abb Ⱶ ∆Aaq2bb Ⱶ ∆Aabq2b Ⱶ ∆Aabbq2∆ Ⱶ ∆Aabq3b Ⱶ ∆Aaq7bA Ⱶ ∆Aq7abA Ⱶ ∆q7AabA Ⱶ ∆Bq1abA Ⱶ ∆BAq2bA Ⱶ ∆BAbq2A Ⱶ ∆BAq3bA

  16. q0∆aabb Ⱶ ∆q1aabb Ⱶ ∆Aq2abb Ⱶ ∆Aaq2bb Ⱶ ∆Aabq2b Ⱶ ∆Aabbq2∆ Ⱶ ∆Aabq3b Ⱶ ∆Aaq7bA Ⱶ ∆Aq7abA Ⱶ ∆q7AabA Ⱶ ∆Bq1abA Ⱶ ∆BAq2bA Ⱶ ∆BAbq2A Ⱶ ∆BAq3bA Ⱶ ∆Bq7AAA

  17. q0∆aabb Ⱶ ∆q1aabb Ⱶ ∆Aq2abb Ⱶ ∆Aaq2bb Ⱶ ∆Aabq2b Ⱶ ∆Aabbq2∆ Ⱶ ∆Aabq3b Ⱶ ∆Aaq7bA Ⱶ ∆Aq7abA Ⱶ ∆q7AabA Ⱶ ∆Bq1abA Ⱶ ∆BAq2bA Ⱶ ∆BAbq2A Ⱶ ∆BAq3bA Ⱶ ∆Bq7AAA Ⱶ ∆Bq7AAA

  18. q0∆aabb Ⱶ ∆q1aabb Ⱶ ∆Aq2abb Ⱶ ∆Aaq2bb Ⱶ ∆Aabq2b Ⱶ ∆Aabbq2∆ Ⱶ ∆Aabq3b Ⱶ ∆Aaq7bA Ⱶ ∆Aq7abA Ⱶ ∆q7AabA Ⱶ ∆Bq1abA Ⱶ ∆BAq2bA Ⱶ ∆BAbq2A Ⱶ ∆BAq3bA Ⱶ ∆Bq7AAA Ⱶ ∆Bq7AAA Ⱶ ∆BBq1AA

  19. q0∆aabb Ⱶ ∆q1aabb Ⱶ ∆Aq2abb Ⱶ ∆Aaq2bb Ⱶ ∆Aabq2b Ⱶ ∆Aabbq2∆ Ⱶ ∆Aabq3b Ⱶ ∆Aaq7bA Ⱶ ∆Aq7abA Ⱶ ∆q7AabA Ⱶ ∆Bq1abA Ⱶ ∆BAq2bA Ⱶ ∆BAbq2A Ⱶ ∆BAq3bA Ⱶ ∆Bq7AAA Ⱶ ∆Bq7AAA Ⱶ ∆BBq1AA Ⱶ ∆BBAq8A

  20. q0∆aabb Ⱶ ∆q1aabb Ⱶ ∆Aq2abb Ⱶ ∆Aaq2bb Ⱶ ∆Aabq2b Ⱶ ∆Aabbq2∆ Ⱶ ∆Aabq3b Ⱶ ∆Aaq7bA Ⱶ ∆Aq7abA Ⱶ ∆q7AabA Ⱶ ∆Bq1abA Ⱶ ∆BAq2bA Ⱶ ∆BAbq2A Ⱶ ∆BAq3bA Ⱶ ∆Bq7AAA Ⱶ ∆Bq7AAA Ⱶ ∆BBq1AA Ⱶ ∆BBAq8A Ⱶ ∆BBAAq8∆

  21. q0∆aabb Ⱶ ∆q1aabb Ⱶ ∆Aq2abb Ⱶ ∆Aaq2bb Ⱶ ∆Aabq2b Ⱶ ∆Aabbq2∆ Ⱶ ∆Aabq3b Ⱶ ∆Aaq7bA Ⱶ ∆Aq7abA Ⱶ ∆q7AabA Ⱶ ∆Bq1abA Ⱶ ∆BAq2bA Ⱶ ∆BAbq2A Ⱶ ∆BAq3bA Ⱶ ∆Bq7AAA Ⱶ ∆Bq7AAA Ⱶ ∆BBq1AA Ⱶ ∆BBAq8A Ⱶ ∆BBAAq8∆ Ⱶ ∆BBAq9A

  22. q0∆aabb Ⱶ ∆q1aabb Ⱶ ∆Aq2abb Ⱶ ∆Aaq2bb Ⱶ ∆Aabq2b Ⱶ ∆Aabbq2∆ Ⱶ ∆Aabq3b Ⱶ ∆Aaq7bA Ⱶ ∆Aq7abA Ⱶ ∆q7AabA Ⱶ ∆Bq1abA Ⱶ ∆BAq2bA Ⱶ ∆BAbq2A Ⱶ ∆BAq3bA Ⱶ ∆Bq7AAA Ⱶ ∆Bq7AAA Ⱶ ∆BBq1AA Ⱶ ∆BBAq8A Ⱶ ∆BBAAq8∆ Ⱶ ∆BBAq9A Ⱶ ∆BBq9Aa

  23. q0∆aabb Ⱶ ∆q1aabb Ⱶ ∆Aq2abb Ⱶ ∆Aaq2bb Ⱶ ∆Aabq2b Ⱶ ∆Aabbq2∆ Ⱶ ∆Aabq3b Ⱶ ∆Aaq7bA Ⱶ ∆Aq7abA Ⱶ ∆q7AabA Ⱶ ∆Bq1abA Ⱶ ∆BAq2bA Ⱶ ∆BAbq2A Ⱶ ∆BAq3bA Ⱶ ∆Bq7AAA Ⱶ ∆Bq7AAA Ⱶ ∆BBq1AA Ⱶ ∆BBAq8A Ⱶ ∆BBAAq8∆ Ⱶ ∆BBAq9A Ⱶ ∆BBq9Aa Ⱶ ∆Bq9Baa

  24. q0∆aabb Ⱶ ∆q1aabb Ⱶ ∆Aq2abb Ⱶ ∆Aaq2bb Ⱶ ∆Aabq2b Ⱶ ∆Aabbq2∆ Ⱶ ∆Aabq3b Ⱶ ∆Aaq7bA Ⱶ ∆Aq7abA Ⱶ ∆q7AabA Ⱶ ∆Bq1abA Ⱶ ∆BAq2bA Ⱶ ∆BAbq2A Ⱶ ∆BAq3bA Ⱶ ∆Bq7AAA Ⱶ ∆Bq7AAA Ⱶ ∆BBq1AA Ⱶ ∆BBAq8A Ⱶ ∆BBAAq8∆ Ⱶ ∆BBAq9A Ⱶ ∆BBq9Aa Ⱶ ∆Bq9Baa Ⱶ ∆q9Bbaa

  25. q0∆aabb Ⱶ ∆q1aabb Ⱶ ∆Aq2abb Ⱶ ∆Aaq2bb Ⱶ ∆Aabq2b Ⱶ ∆Aabbq2∆ Ⱶ ∆Aabq3b Ⱶ ∆Aaq7bA Ⱶ ∆Aq7abA Ⱶ ∆q7AabA Ⱶ ∆Bq1abA Ⱶ ∆BAq2bA Ⱶ ∆BAbq2A Ⱶ ∆BAq3bA Ⱶ ∆Bq7AAA Ⱶ ∆Bq7AAA Ⱶ ∆BBq1AA Ⱶ ∆BBAq8A Ⱶ ∆BBAAq8∆ Ⱶ ∆BBAq9A Ⱶ ∆BBq9Aa Ⱶ ∆Bq9Baa Ⱶ ∆q9Bbaa Ⱶ q9∆bbaa

  26. q0∆aabb Ⱶ ∆q1aabb Ⱶ ∆Aq2abb Ⱶ ∆Aaq2bb Ⱶ ∆Aabq2b Ⱶ ∆Aabbq2∆ Ⱶ ∆Aabq3b Ⱶ ∆Aaq7bA Ⱶ ∆Aq7abA Ⱶ ∆q7AabA Ⱶ ∆Bq1abA Ⱶ ∆BAq2bA Ⱶ ∆BAbq2A Ⱶ ∆BAq3bA Ⱶ ∆Bq7AAA Ⱶ ∆Bq7AAA Ⱶ ∆BBq1AA Ⱶ ∆BBAq8A Ⱶ ∆BBAAq8∆ Ⱶ ∆BBAq9A Ⱶ ∆BBq9Aa Ⱶ ∆Bq9Baa Ⱶ ∆q9Bbaa Ⱶ q9∆bbaa Ⱶ ha∆bbaaaccept

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