| Back: | ⟨a, b | aabbbabaab=a⟩ |
|---|
Solved by morph:2/0,2/1. (See Morphocompletion.)
Checking up to 20 rules for overlaps.
Rewriting system is not complete: rulesLimit
| # | Rule |
|---|---|
| 1. | aabbbaba ⇒ aaababbb |
| 2. | abbabaa ⇒ aaababb |
| 3. | aaababbbab ⇒ a |
| 4. | aabaababb ⇒ aaababbba |
| 5. | ababaaba ⇒ aabaabab |
| 6. | aaababbababbbab ⇒ abbaba |
| 7. | aabaababababbb ⇒ ababa |
| ... |
Collecting factors up to length 7 / frequency 4:
| [2/0] | ab | 27 | lf:23,lp:2,ls:2,rf:13,rp:2,rs:1,lsrp:1,lprs:1,a:6 |
|---|---|---|---|
| [2/1] | ba | 21 | lf:19,ls:2,rf:10,rs:3,a:6 |
| [2/2] | aa | 17 | lf:11,lp:5,ls:1,rf:8,rp:4,lprp:2,lsrp:1,a:6 |
| [2/3] | bb | 13 | lf:11,ls:2,rf:6,rs:2,a:19 |
| [3/0] | aba | 17 | lf:14,lp:1,ls:2,rf:8,rp:1,rs:2,a:6 |
| [3/1] | bab | 15 | lf:13,ls:2,rf:6,rs:1,a:6 |
| [3/2] | aab | 11 | lf:8,lp:3,rf:5,rp:1,a:6 |
| [3/3] | abb | 9 | lf:7,lp:1,ls:1,rf:4,rp:1,rs:1,lprs:1,a:19 |
| [4/0] | aaba | 10 | lf:7,lp:2,ls:1,rf:5,rp:1,lsrp:1,a:6 |
| [4/1] | abab | 9 | lf:8,lp:1,rf:5,rp:1,rs:1,lprs:1,a:6 |
| [4/2] | baba | 7 | lf:6,ls:1,rf:2,rs:2,a:6 |
| [4/3] | bbab | 7 | lf:5,ls:2,rf:1,a:19 |
| [5/0] | ababb | 6 | lf:5,ls:1,rf:3,rs:1,a:19 |
| [5/1] | bbbab | 5 | lf:3,ls:2,a:24 |
| [5/2] | aabaa | 4 | lf:2,lp:2,rf:1,rp:1,a:6 |
| [5/3] | aaaba | 4 | lf:2,lp:2,rf:3,rp:3,a:19 |
| [6/0] | abbbab | 5 | lf:3,ls:2,a:24 |
| [6/1] | abaaba | 4 | lf:3,ls:1,rf:1,a:6 |
| [6/2] | aabaab | 4 | lf:2,lp:2,rf:1,rp:1,a:6 |
| [6/3] | aaabab | 4 | lf:2,lp:2,rf:3,rp:3,a:19 |
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. | ccaccb ⇒ a |
| 3. | ccaccccbbb ⇒ cbcc |
| 4. | ccacccbbcc ⇒ ccacb |
| 5. | ccaccccbbcc ⇒ a |
| 6. | cbca ⇒ ccaccccbb |
| 7. | aaccbb ⇒ ccaccccbbc |
| 8. | aacccbbcc ⇒ aacb |
| 9. | aaccccbbcc ⇒ aaccb |
| 10. | acaccb ⇒ ccacc |
| 11. | acbbca ⇒ ccaccccbbc |
| 12. | ccaca ⇒ acacc |
| 13. | ccacccbbca ⇒ ccac |
| 14. | aacccbbca ⇒ aac |
| 15. | acaca ⇒ ccacccacc |
| 16. | acacccbbca ⇒ acac |
| ... |
Collecting factors up to length 6 / frequency 7:
| [2/0] | cc | 42 | lf:32,lp:6,ls:4,rf:23,rp:7,rs:4,lprp:2,lsrp:1,lprs:2,a:3 |
|---|---|---|---|
| [2/1] | ca | 23 | lf:16,ls:7,rf:10,a:3 |
| [2/2] | ac | 21 | lf:17,lp:4,rf:15,rp:2,rs:3,lprp:1,lprs:1,a:3 |
| [2/3] | cb | 16 | lf:13,lp:1,ls:2,rf:7,rp:1,rs:3,a:3 |
| [2/4] | bb | 13 | lf:11,ls:2,rf:3,rs:1,a:3 |
| [2/5] | bc | 9 | lf:9,rf:3,rs:2,a:3 |
| [2/6] | aa | 8 | lf:4,lp:4,rf:3,rp:3,lprp:3,a:15 |
| [3/0] | ccb | 13 | lf:11,ls:2,rf:4,rs:1,a:3 |
| [3/1] | cca | 12 | lf:6,lp:6,rf:8,rp:7,lprp:2,a:3 |
| [3/2] | acc | 11 | lf:11,rf:8,rs:3,a:3 |
| [3/3] | cbb | 11 | lf:10,ls:1,rf:3,rs:1,a:3 |
| [3/4] | ccc | 11 | lf:11,rf:7,a:3 |
| [3/5] | aca | 10 | lf:5,lp:3,ls:2,rf:2,rp:2,lprp:1,lsrp:1,a:8 |
| [3/6] | bca | 10 | lf:5,ls:5,a:3 |
| [4/0] | ccac | 12 | lf:6,lp:6,rf:8,rp:7,rs:1,re:1,lprp:2,lprs:1,a:3 |
| [4/1] | ccbb | 10 | lf:9,ls:1,rf:3,rs:1,a:3 |
| [4/2] | aacc | 8 | lf:4,lp:4,rf:1,rp:1,lprp:1,a:15 |
| [4/3] | bbca | 8 | lf:4,ls:4,a:3 |
| [4/4] | accc | 8 | lf:8,rf:4,a:3 |
| [4/5] | bbcc | 8 | lf:4,ls:4,a:27 |
| [4/6] | cbbc | 8 | lf:8,rf:2,rs:2,a:3 |
| [5/0] | ccacc | 10 | lf:5,lp:5,rf:6,rp:5,rs:2,re:1,a:3 |
| [5/1] | cbbca | 8 | lf:4,ls:4,a:3 |
| [5/2] | cbbcc | 8 | lf:4,ls:4,a:27 |
| [5/3] | cccbb | 8 | lf:8,rf:3,rs:1,a:3 |
| [5/4] | ccbbc | 7 | lf:7,rf:2,rs:2,a:3 |
| [5/5] | aaccc | 6 | lf:3,lp:3,a:31 |
| [5/6] | caccc | 5 | lf:5,rf:4,a:3 |
Considering [length 2 / frequency 1] ca=d.
Rewriting system is complete. See ⟨a, b | aabbbabaab=a⟩.