| Back: | ⟨a, b | aabbaaaab=ba⟩ |
|---|
Solved by morph:4/0,4/0. (See Morphocompletion.)
Checking up to 20 rules for overlaps.
Rewriting system is not complete: arenaTotalLimit
| # | Rule |
|---|---|
| 1. | aabbaaaab ⇒ ba |
| 2. | aabbaaba ⇒ babaaaab |
| 3. | babaaaababbaaaab ⇒ aabbaabba |
| 4. | aabbaaaaaabbaabba ⇒ baabaaaababbaaaab |
| 5. | babaaaababbaaba ⇒ aabbaabbabaaaab |
| 6. | baabaaaababbaaaabaaab ⇒ aabbaaaaaabbba |
| 7. | aabbaaaaaabbaaaaaabbba ⇒ baaabaaaababbaaaabaaab |
| 8. | baabaaaababbaaaababa ⇒ aabbaaaaaabbbabaaaab |
| 9. | babaaaabaaababbaaaabaaab ⇒ aabaabbaaaaaabbba |
| 10. | baabaaaababbaaaababbaaaab ⇒ aabbaaaaaabbaabbba |
| ... |
Collecting factors up to length 7 / frequency 4:
| [2/0] | aa | 74 | lf:70,lp:4,rf:56,rp:6 |
|---|---|---|---|
| [2/1] | ba | 52 | lf:41,lp:6,ls:5,rf:28,rp:4,rs:5,re:1,lsrp:3,lprs:4 |
| [2/2] | ab | 45 | lf:40,ls:5,rf:29,rs:5 |
| [2/3] | bb | 16 | lf:16,rf:19 |
| [3/0] | aaa | 41 | lf:41,rf:32 |
| [3/1] | aab | 38 | lf:29,lp:4,ls:5,rf:24,rp:6,rs:5,lsrp:4,lprs:3 |
| [3/2] | baa | 28 | lf:25,lp:3,rf:18,rp:2 |
| [3/3] | aba | 23 | lf:20,ls:3,rf:9,a:1 |
| [4/0] | aaab | 24 | lf:19,ls:5,rf:13,rs:5 |
| [4/1] | aaaa | 22 | lf:22,rf:19 |
| [4/2] | baaa | 19 | lf:19,rf:13,rp:1 |
| [4/3] | aaba | 18 | lf:16,ls:2,rf:6,rp:1,a:1 |
| [5/0] | aaaab | 19 | lf:16,ls:3,rf:11,rs:4 |
| [5/1] | baaaa | 16 | lf:16,rf:11 |
| [5/2] | abbaa | 13 | lf:13,rf:9 |
| [5/3] | aabba | 12 | lf:7,lp:4,ls:1,rf:9,rp:5,rs:1 |
| [6/0] | baaaab | 16 | lf:13,ls:3,rf:7,rs:4 |
| [6/1] | bbaaaa | 10 | lf:10,rf:6 |
| [6/2] | abbaaa | 10 | lf:10,rf:6 |
| [6/3] | aabbaa | 10 | lf:6,lp:4,rf:7,rp:5 |
Considering [length 4 / frequency 0] aaab=c.
Checking up to 20 rules for overlaps.
Rewriting system is not complete: roundsLimit
| # | Rule |
|---|---|
| 1. | aaab ⇒ c |
| 2. | cbac ⇒ aba |
| 3. | aacbaabc ⇒ cabacaab |
| 4. | aacbaaba ⇒ cabac |
| 5. | aabbac ⇒ ba |
| 6. | ababac ⇒ cbaaba |
| 7. | aabbaabc ⇒ babacaab |
| 8. | aabbaaba ⇒ babac |
| 9. | cabacabbac ⇒ aacbaabba |
| 10. | caabacabbacc ⇒ aacbaaacbba |
| 11. | aacbaaacbaabba ⇒ caabacabbac |
| 12. | aacaabbaaacbba ⇒ cabaccabbacc |
| 13. | cbaaacbaaacbba ⇒ abcacabbacc |
| 14. | babacabbac ⇒ aabbaabba |
| 15. | abaabacabbac ⇒ cbaaacbaabba |
| 16. | aacbaabbabac ⇒ cabacabbaaba |
| 17. | baabacabbacc ⇒ aabbaaacbba |
| 18. | aabbaaacbaabba ⇒ baabacabbac |
| 19. | aabaabbaaacbba ⇒ babaccabbacc |
| 20. | aabbaabbabac ⇒ babacabbaaba |
| ... |
Collecting factors up to length 6 / frequency 7:
| [2/0] | ba | 52 | lf:43,lp:2,ls:7,rf:39,rp:6,rs:10,re:1,lsrp:3,lprs:2,a:2 |
|---|---|---|---|
| [2/1] | aa | 50 | lf:38,lp:12,rf:20,rp:4,a:1 |
| [2/2] | ab | 35 | lf:32,lp:2,ls:1,rf:29,rp:2,rs:2,a:1 |
| [2/3] | ac | 34 | lf:26,ls:8,rf:21,rs:4,a:2 |
| [2/4] | bb | 19 | lf:19,rf:14,a:2 |
| [2/5] | cb | 14 | lf:12,lp:2,rf:7,rp:2,a:3 |
| [2/6] | ca | 10 | lf:8,lp:2,rf:15,rp:5,a:6 |
| [3/0] | aab | 27 | lf:20,lp:6,ls:1,rf:12,rp:2,rs:2,lprs:1,a:1 |
| [3/1] | bba | 24 | lf:19,ls:5,rf:14,rs:5,a:2 |
| [3/2] | bac | 23 | lf:15,ls:8,rf:15,rs:4,a:2 |
| [3/3] | baa | 18 | lf:17,lp:1,rf:10,rp:1,a:4 |
| [3/4] | aba | 17 | lf:13,lp:2,ls:2,rf:14,rp:1,rs:4,re:1,lprs:1,a:3 |
| [3/5] | abb | 16 | lf:16,rf:12,a:2 |
| [3/6] | aac | 16 | lf:11,lp:5,rf:5,rp:2,a:6 |
| [4/0] | abba | 18 | lf:16,ls:2,rf:12,rs:3,a:2 |
| [4/1] | aabb | 16 | lf:11,lp:5,rf:5,rp:2,a:2 |
| [4/2] | aacb | 14 | lf:10,lp:4,rf:5,rp:2,a:6 |
| [4/3] | baab | 12 | lf:11,lp:1,rf:7,rp:1,a:4 |
| [4/4] | abac | 11 | lf:8,ls:3,rf:10,rs:2,a:4 |
| [4/5] | bbac | 10 | lf:6,ls:4,rf:5,rs:2,a:2 |
| [4/6] | cbaa | 9 | lf:8,lp:1,rf:5,rp:2,a:5 |
| [5/0] | aabba | 18 | lf:11,lp:5,ls:2,rf:5,rp:2,rs:3,a:2 |
| [5/1] | aacba | 11 | lf:7,lp:4,rf:3,rp:2,a:6 |
| [5/2] | abbac | 10 | lf:6,ls:4,rf:5,rs:2,a:2 |
| [5/3] | babac | 8 | lf:4,lp:1,ls:3,rf:4,rp:4,rs:1,re:1,lsrp:1,a:4 |
| [5/4] | baaba | 7 | lf:4,lp:1,ls:2,rf:4,rp:1,rs:3,a:4 |
| [5/5] | acbaa | 7 | lf:7,rf:3,a:6 |
| [5/6] | abbaa | 6 | lf:6,rf:4,a:4 |
Considering [length 4 / frequency 0] abba=d.
Rewriting system is complete. See ⟨a, b | aabbaaaab=ba⟩.