| Back: | ⟨a, b | aabbbba=bbaa⟩ |
|---|
Solved by morph:4/0,3/0,3/0. (See Morphocompletion.)
Checking up to 20 rules for overlaps.
Rewriting system is not complete: rulesLimit
| # | Rule |
|---|---|
| 1. | aabbbba ⇒ bbaa |
| 2. | aabbbbbbaa ⇒ bbabbaa |
| 3. | aabbbbbbbbaa ⇒ bbabbbbaa |
| 4. | aabbbbbbabbaa ⇒ bbabbabbaa |
| 5. | aabbbbbbbbbbaa ⇒ bbabbbbbbaa |
| 6. | aabbbbbbabbbbaa ⇒ bbabbabbbbaa |
| 7. | aabbbbbbbbabbaa ⇒ bbabbbbabbaa |
| ... |
Collecting factors up to length 7 / frequency 3:
| [2/0] | bb | 46 | lf:46,rf:26,rp:7 |
|---|---|---|---|
| [2/1] | aa | 26 | lf:13,lp:7,ls:6,rf:7,rs:7,lprs:7,lsrs:6 |
| [2/2] | ba | 11 | lf:10,ls:1,rf:16 |
| [3/0] | bbb | 36 | lf:36,rf:10 |
| [3/1] | aab | 14 | lf:7,lp:7 |
| [3/2] | baa | 12 | lf:6,ls:6,rf:7,rs:7,lsrs:6 |
| [4/0] | bbbb | 28 | lf:28,rf:6 |
| [4/1] | aabb | 14 | lf:7,lp:7 |
| [4/2] | bbaa | 12 | lf:6,ls:6,rf:7,rp:1,rs:7,re:1,lsrs:6 |
| [5/0] | bbbbb | 20 | lf:20,rf:2,a:1 |
| [5/1] | aabbb | 14 | lf:7,lp:7 |
| [5/2] | bbbba | 9 | lf:8,ls:1,rf:4 |
| [6/0] | bbbbbb | 14 | lf:14,rf:1,a:1 |
| [6/1] | aabbbb | 14 | lf:7,lp:7 |
| [6/2] | bbbbaa | 8 | lf:4,ls:4,rf:3,rs:3,lsrs:3,a:1 |
Considering [length 4 / frequency 0] bbbb=c.
Checking up to 20 rules for overlaps.
Rewriting system is not complete: pendingRulesLimit
| # | Rule |
|---|---|
| 1. | aacaca ⇒ caa |
| 2. | cb ⇒ bc |
| 3. | bbaa ⇒ aaca |
| 4. | aacaccaa ⇒ cacaa |
| 5. | bbcaa ⇒ caaca |
| 6. | bbacaa ⇒ aaccaa |
| 7. | aacacccaa ⇒ caccaa |
| 8. | aacaccacaa ⇒ cacacaa |
| 9. | bbccaa ⇒ ccaaca |
| 10. | bbaccaa ⇒ aacccaa |
| 11. | bbcacaa ⇒ caaccaa |
| 12. | bbacacaa ⇒ aaccacaa |
| 13. | bbbb ⇒ c |
| 14. | bbcccaa ⇒ cccaaca |
| 15. | bbacccaa ⇒ aaccccaa |
| 16. | bbcaccaa ⇒ caacccaa |
| 17. | bbccacaa ⇒ ccaaccaa |
| 18. | bbccccaa ⇒ ccccaaca |
| ... |
Collecting factors up to length 6 / frequency 5:
| [2/0] | aa | 38 | lf:19,lp:4,ls:15,rf:23,rp:5,rs:11,lsrp:5,lprs:4,lsrs:10,a:2 |
|---|---|---|---|
| [2/1] | bb | 29 | lf:15,lp:13,ls:1,a:1 |
| [2/2] | ca | 25 | lf:24,ls:1,rf:28,rp:7,rs:5,lsrp:1,a:2 |
| [2/3] | ac | 17 | lf:17,rf:17,a:2 |
| [2/4] | cc | 15 | lf:15,rf:19,rp:4,a:6 |
| [3/0] | caa | 28 | lf:14,ls:14,rf:18,rp:4,rs:11,re:1,lsrp:3,lsrs:10,a:4 |
| [3/1] | bbc | 14 | lf:7,lp:7,a:5 |
| [3/2] | aca | 12 | lf:11,ls:1,rf:9,rs:5,a:2 |
| [3/3] | bba | 10 | lf:5,lp:5,a:2 |
| [3/4] | cca | 10 | lf:10,rf:12,rp:2,a:6 |
| [4/0] | ccaa | 16 | lf:8,ls:8,rf:11,rp:2,rs:7,lsrp:1,lsrs:4,a:6 |
| [4/1] | acaa | 10 | lf:5,ls:5,rf:3,rs:3,lsrs:2,a:6 |
| [4/2] | bbcc | 8 | lf:4,lp:4,a:8 |
| [4/3] | bbac | 8 | lf:4,lp:4,a:6 |
| [4/4] | aaca | 8 | lf:4,lp:4,rf:5,rp:1,rs:5,re:1,a:2 |
| [5/0] | cccaa | 8 | lf:4,ls:4,rf:5,rp:1,rs:3,lsrp:1,lsrs:1,a:10 |
| [5/1] | cacaa | 8 | lf:4,ls:4,rf:3,rp:1,rs:3,re:1,lsrs:2,a:7 |
| [5/2] | aacac | 8 | lf:4,lp:4,a:4 |
| [5/3] | accaa | 6 | lf:3,ls:3,rf:4,rs:4,a:6 |
| [5/4] | bbccc | 4 | lf:2,lp:2,a:12 |
Considering [length 3 / frequency 0] caa=d.
Checking up to 20 rules for overlaps.
Rewriting system is not complete: roundsLimit
| # | Rule |
|---|---|
| 1. | caa ⇒ d |
| 2. | aacad ⇒ da |
| 3. | aadacad ⇒ daa |
| 4. | cda ⇒ dcad |
| 5. | cada ⇒ dacad |
| 6. | aacaca ⇒ d |
| 7. | dcaca ⇒ cd |
| 8. | dacaca ⇒ cad |
| 9. | aacacd ⇒ cad |
| 10. | aadacacd ⇒ dd |
| 11. | ddacacd ⇒ cdd |
| 12. | ccad ⇒ dcacd |
| 13. | cb ⇒ bc |
| 14. | bbaa ⇒ aaca |
| 15. | bbd ⇒ dca |
| 16. | bbad ⇒ aacd |
| 17. | bbcd ⇒ cdca |
| 18. | bbacd ⇒ aaccd |
| 19. | bbcad ⇒ dcd |
| 20. | bbbb ⇒ c |
| ... |
Collecting factors up to length 6 / frequency 5:
| [2/0] | ca | 20 | lf:15,lp:2,ls:3,rf:8,rp:2,rs:3,lsrp:1,a:2 |
|---|---|---|---|
| [2/1] | bb | 17 | lf:9,lp:7,ls:1,a:1 |
| [2/2] | ac | 14 | lf:14,rf:5,a:3 |
| [2/3] | aa | 14 | lf:7,lp:5,ls:2,rf:4,rp:3,rs:1,lsrp:1,lprs:1,a:2 |
| [2/4] | ad | 13 | lf:8,ls:5,rf:4,rs:4,a:9 |
| [3/0] | aca | 13 | lf:10,ls:3,rf:2,rs:1,a:3 |
| [3/1] | cad | 10 | lf:5,lp:1,ls:4,rf:4,rp:2,rs:4,re:2,lprs:1,a:9 |
| [3/2] | acd | 8 | lf:4,ls:4,rf:2,rs:2,a:10 |
| [3/3] | bba | 6 | lf:3,lp:3,a:3 |
| [3/4] | cac | 6 | lf:6,rf:1,a:5 |
| [4/0] | cacd | 6 | lf:3,ls:3,rf:1,rs:1,a:14 |
| [4/1] | caca | 6 | lf:3,ls:3,a:5 |
| [4/2] | aaca | 6 | lf:3,lp:3,rf:1,rp:1,rs:1,re:1,a:3 |
| [4/3] | acac | 5 | lf:5,a:5 |
| [4/4] | daca | 5 | lf:4,lp:1,rf:1,rp:1,a:9 |
| [5/0] | acacd | 6 | lf:3,ls:3,a:14 |
| [5/1] | acaca | 4 | lf:2,ls:2,a:5 |
| [5/2] | dacac | 4 | lf:3,lp:1,a:9 |
| [5/3] | aacac | 4 | lf:2,lp:2,a:5 |
| [5/4] | aadac | 4 | lf:2,lp:2,a:22 |
Considering [length 3 / frequency 0] aca=e.
Rewriting system is complete. See ⟨a, b | aabbbba=bbaa⟩.