| Back: | ⟨a, b | abbabaab=aba⟩ |
|---|
Solved by morph:2/0,5/1. (See Morphocompletion.)
Checking up to 20 rules for overlaps.
Rewriting system is not complete: rulesLimit
| # | Rule |
|---|---|
| 1. | abbabaab ⇒ aba |
| 2. | abaabaab ⇒ abbabaaa |
| 3. | abababaab ⇒ abaa |
| 4. | abbabbabaaa ⇒ abaaab |
| 5. | abaaabaab ⇒ abababaaa |
| 6. | abaababaab ⇒ abaaa |
| 7. | abababbabaaa ⇒ abaaaab |
| 8. | abaaaabaab ⇒ abaababaaa |
| 9. | abaaababaab ⇒ abaaaa |
| 10. | abaaabbbabaab ⇒ abaaabba |
| 11. | abaaaababaab ⇒ abaaaaa |
| ... |
Collecting factors up to length 7 / frequency 4:
| [2/0] | ab | 59 | lf:39,lp:11,ls:9,rf:19,rp:11,rs:2,lprp:11,lsrp:9,lprs:2 |
|---|---|---|---|
| [2/1] | ba | 30 | lf:30,rf:17,rs:2 |
| [2/2] | aa | 29 | lf:27,ls:2,rf:24,rs:7 |
| [2/3] | bb | 6 | lf:6,rf:2 |
| [3/0] | aba | 34 | lf:25,lp:9,rf:15,rp:10,rs:1,re:1,lprp:8 |
| [3/1] | aab | 25 | lf:16,ls:9,rf:4,rs:2 |
| [3/2] | baa | 18 | lf:18,rf:11,rs:1 |
| [3/3] | bab | 12 | lf:12,rf:4 |
| [4/0] | abaa | 25 | lf:18,lp:7,rf:11,rp:8,rs:1,re:1,lprp:5 |
| [4/1] | baab | 20 | lf:11,ls:9,rf:1 |
| [4/2] | baba | 10 | lf:10,rf:4 |
| [4/3] | baaa | 9 | lf:7,ls:2,rf:9,rs:4,a:2 |
| [5/0] | abaab | 22 | lf:11,lp:2,ls:9,rf:1,rp:1,lsrp:1 |
| [5/1] | abaaa | 14 | lf:7,lp:5,ls:2,rf:9,rp:6,rs:4,re:1,lprp:3,lsrp:2,lprs:2,a:2 |
| [5/2] | ababa | 8 | lf:6,lp:2,rf:3,rp:1,a:1 |
| [5/3] | babaa | 8 | lf:8,rf:3 |
| [6/0] | babaab | 12 | lf:6,ls:6 |
| [6/1] | aabaab | 6 | lf:3,ls:3,a:4 |
| [6/2] | abaaab | 6 | lf:3,lp:3,rf:2,rp:2,rs:1,re:1,lprp:1,a:3 |
| [6/3] | abaaaa | 4 | lf:2,lp:2,rf:3,rp:3,rs:1,re:1,lprp:1,a:3 |
Considering [length 2 / frequency 0] ab=c.
Checking up to 20 rules for overlaps.
Rewriting system is not complete: roundsLimit
| # | Rule |
|---|---|
| 1. | ab ⇒ c |
| 2. | cbcac ⇒ ca |
| 3. | cccacb ⇒ cac |
| 4. | cccaccb ⇒ cbcbcccacc |
| 5. | cccacccb ⇒ cbcbcccbcccacc |
| 6. | caa ⇒ cccac |
| 7. | cbcbcccaca ⇒ cccacc |
| 8. | cbcbcccbcccaca ⇒ cccaccc |
| 9. | cbcbcccbcccbcccaca ⇒ cccacccc |
| 10. | cacac ⇒ cbcccaca |
| 11. | caccac ⇒ cccaca |
| 12. | cbcbcccacccac ⇒ cccacca |
| 13. | cbcbcccbcccacccac ⇒ cccaccca |
| 14. | cacccaca ⇒ cbcccbcccacccacc |
| 15. | caccccaca ⇒ cccbcccacccacc |
| 16. | cacbcccaca ⇒ cbcccacccacc |
| 17. | caccbcccaca ⇒ cccacccacc |
| 18. | caccbcccbcccaca ⇒ cccacccaccc |
| 19. | cacbcccacccac ⇒ cbcccacccacca |
| 20. | caccbcccacccac ⇒ cccacccacca |
| ... |
Collecting factors up to length 6 / frequency 7:
| [2/0] | cc | 59 | lf:56,lp:3,rf:73,rp:11,rs:10,lprs:2,a:3 |
|---|---|---|---|
| [2/1] | ca | 58 | lf:40,lp:10,ls:8,rf:32,rp:2,rs:7,re:1,lprs:4,a:2 |
| [2/2] | ac | 38 | lf:31,ls:7,rf:25,rs:2,a:2 |
| [2/3] | cb | 33 | lf:24,lp:6,ls:3,rf:11,rp:6,lsrp:2,a:2 |
| [2/4] | bc | 21 | lf:21,rf:11,a:2 |
| [2/5] | aa | 2 | lf:1,ls:1,a:3 |
| [3/0] | cac | 47 | lf:31,lp:9,ls:7,rf:25,rp:1,rs:2,re:1,a:2 |
| [3/1] | ccc | 29 | lf:26,lp:3,rf:32,rp:11,rs:3,a:3 |
| [3/2] | cbc | 27 | lf:21,lp:6,rf:11,rp:6,a:2 |
| [3/3] | cca | 20 | lf:20,rf:28,rs:4,a:3 |
| [3/4] | aca | 17 | lf:9,ls:8,rf:2,rs:2,a:4 |
| [3/5] | bcc | 15 | lf:15,rf:9,a:6 |
| [3/6] | acc | 12 | lf:12,rf:21,rs:7,a:4 |
| [4/0] | ccac | 25 | lf:20,ls:5,rf:24,rs:1,a:3 |
| [4/1] | ccca | 22 | lf:19,lp:3,rf:25,rp:10,rs:1,a:3 |
| [4/2] | caca | 18 | lf:9,lp:1,ls:8,rf:2,rs:2,lprs:1,a:4 |
| [4/3] | cacc | 18 | lf:12,lp:6,rf:21,rs:7,lprs:3,a:4 |
| [4/4] | bccc | 15 | lf:15,rf:9,a:6 |
| [4/5] | cbcc | 15 | lf:15,rf:9,rp:4,a:6 |
| [4/6] | cbcb | 10 | lf:5,lp:5,rf:2,rp:2,a:11 |
| [5/0] | cccac | 26 | lf:19,lp:3,ls:4,rf:24,rp:10,rs:1,re:1,lsrp:3,a:3 |
| [5/1] | ccaca | 16 | lf:8,ls:8,rf:2,rs:2,a:4 |
| [5/2] | cbccc | 15 | lf:15,rf:9,rp:4,a:6 |
| [5/3] | bccca | 10 | lf:10,rf:7,a:6 |
| [5/4] | cbcbc | 10 | lf:5,lp:5,rf:2,rp:2,a:11 |
| [5/5] | caccc | 9 | lf:7,lp:2,rf:11,rs:2,a:8 |
| [5/6] | caccb | 8 | lf:4,lp:3,ls:1,a:12 |
Considering [length 5 / frequency 1] ccaca=d.
Rewriting system is complete. See ⟨a, b | abbabaab=aba⟩.