| Back: | ⟨a, b | abbaab=aabaa⟩ |
|---|
Solved by morph:3/2,3/0. (See Morphocompletion.)
Checking up to 20 rules for overlaps.
Rewriting system is not complete: arenaTotalLimit
| # | Rule |
|---|---|
| 1. | abbaab ⇒ aabaa |
| 2. | abbaaabaa ⇒ aabaabaab |
| 3. | aabaabaabbbaab ⇒ aabaabaababaa |
| 4. | aabaaaabaabbbaab ⇒ aabaaaabaababaa |
| 5. | aabaabaabbbaaabaa ⇒ aabaabaababaabaab |
| 6. | aabaaaaaabaabbbaab ⇒ aabaaaaaabaababaa |
| 7. | aabaaaabaabbbaaabaa ⇒ aabaaaabaababaabaab |
| ... |
Collecting factors up to length 7 / frequency 4:
| [2/0] | aa | 44 | lf:36,lp:5,ls:3,rf:35,rp:7,rs:4,lprp:5,lsrp:3,lprs:3 |
|---|---|---|---|
| [2/1] | ab | 30 | lf:24,lp:2,ls:4,rf:28,rs:3,lprs:1 |
| [2/2] | ba | 20 | lf:20,rf:25 |
| [2/3] | bb | 12 | lf:12 |
| [3/0] | aab | 31 | lf:22,lp:5,ls:4,rf:23,rp:7,rs:3,lprp:5,lsrp:4,lprs:2 |
| [3/1] | baa | 23 | lf:20,ls:3,rf:20,rs:4 |
| [3/2] | aba | 13 | lf:13,rf:25 |
| [3/3] | aaa | 11 | lf:11,rf:8,a:1 |
| [4/0] | aaba | 18 | lf:13,lp:5,rf:20,rp:7,lprp:5 |
| [4/1] | abaa | 16 | lf:13,ls:3,rf:20,rs:4 |
| [4/2] | baab | 15 | lf:11,ls:4,rf:13,rs:3 |
| [4/3] | bbaa | 7 | lf:7 |
| [5/0] | aabaa | 21 | lf:13,lp:5,ls:3,rf:15,rp:7,rs:1,re:1,lprp:5,lsrp:3 |
| [5/1] | bbaab | 8 | lf:4,ls:4 |
| [5/2] | abaab | 7 | lf:7,rf:13,rs:3,a:1 |
| [5/3] | aaaba | 6 | lf:6,rf:3,a:1 |
| [6/0] | aabaab | 9 | lf:7,lp:2,rf:11,rp:3,rs:3,lprp:2,lprs:1,a:1 |
| [6/1] | aaabaa | 9 | lf:6,ls:3,rf:3,a:1 |
| [6/2] | bbbaab | 6 | lf:3,ls:3,a:2 |
| [6/3] | aabaaa | 6 | lf:3,lp:3,rf:3,rp:3,lprp:3,a:4 |
Considering [length 3 / frequency 2] aba=c.
Checking up to 20 rules for overlaps.
Rewriting system is not complete: roundsLimit
| # | Rule |
|---|---|
| 1. | aba ⇒ c |
| 2. | cba ⇒ abc |
| 3. | abbac ⇒ acaa |
| 4. | cbbac ⇒ ccaa |
| 5. | abbaab ⇒ aca |
| 6. | cbbaab ⇒ cca |
| 7. | abbaaca ⇒ accab |
| 8. | accabba ⇒ abbaacc |
| 9. | cbbaaca ⇒ cccab |
| 10. | cccabba ⇒ cbbaacc |
| 11. | abbaaccc ⇒ accacaa |
| 12. | cbbaaccc ⇒ cccacaa |
| 13. | abbaaccab ⇒ accaca |
| 14. | accabbbac ⇒ accabcaa |
| 15. | cbbaaccab ⇒ cccaca |
| 16. | cccabbbac ⇒ cccabcaa |
| 17. | abbaaccaca ⇒ accaccab |
| 18. | accabbbaab ⇒ accabca |
| 19. | cbbaaccaca ⇒ cccaccab |
| 20. | cccabbbaab ⇒ cccabca |
| ... |
Collecting factors up to length 6 / frequency 7:
| [2/0] | ab | 32 | lf:19,lp:7,ls:6,rf:10,rp:2,rs:4,lprs:2 |
|---|---|---|---|
| [2/1] | ba | 24 | lf:20,ls:4,rf:2 |
| [2/2] | ac | 24 | lf:17,lp:3,ls:4,rf:16,rp:8,lprp:2,lsrp:2 |
| [2/3] | cc | 22 | lf:17,lp:3,ls:2,rf:24,rp:8,rs:2,lprp:2,lsrp:1,lprs:1,a:3 |
| [2/4] | bb | 22 | lf:22,rf:2 |
| [2/5] | ca | 18 | lf:14,ls:4,rf:26,rs:6 |
| [2/6] | cb | 14 | lf:7,lp:7,rf:1,rp:1,a:2 |
| [3/0] | bba | 20 | lf:18,ls:2,rf:2 |
| [3/1] | abb | 18 | lf:12,lp:6,rf:1,rp:1 |
| [3/2] | cbb | 12 | lf:6,lp:6,rf:1,rp:1,a:5 |
| [3/3] | baa | 12 | lf:12,rf:2 |
| [3/4] | acc | 12 | lf:9,lp:3,rf:10,rp:6,rs:2,lprp:2,lprs:1,a:3 |
| [3/5] | ccc | 10 | lf:5,lp:3,ls:2,rf:6,rp:6,lprp:2,lsrp:1,a:7 |
| [3/6] | cca | 10 | lf:10,rf:16,rp:2,rs:1,re:1,a:3 |
| [4/0] | abba | 16 | lf:8,lp:6,ls:2,rf:1,rp:1,lsrp:1 |
| [4/1] | cbba | 12 | lf:6,lp:6,rf:1,rp:1,a:5 |
| [4/2] | bbaa | 12 | lf:12,rf:2 |
| [4/3] | ccab | 10 | lf:8,ls:2,rf:8,rs:4,a:3 |
| [4/4] | acca | 10 | lf:7,lp:3,rf:8,rp:6,lprp:2,a:3 |
| [4/5] | bbac | 8 | lf:4,ls:4,a:4 |
| [4/6] | baac | 8 | lf:8,rf:2,a:3 |
| [5/0] | cbbaa | 10 | lf:5,lp:5,rf:1,rp:1,a:5 |
| [5/1] | accab | 10 | lf:5,lp:3,ls:2,rf:5,rp:3,rs:3,re:1,lprp:2,a:3 |
| [5/2] | abbaa | 10 | lf:5,lp:5,rf:1,rp:1 |
| [5/3] | bbaac | 8 | lf:8,rf:2,a:3 |
| [5/4] | bbaab | 8 | lf:4,ls:4 |
| [5/5] | cccab | 6 | lf:3,lp:3,rf:3,rp:3,rs:1,re:1,lprp:2,a:7 |
| [5/6] | ccabb | 6 | lf:6,a:9 |
Considering [length 3 / frequency 0] bba=d.
Rewriting system is complete. See ⟨a, b | abbaab=aabaa⟩.