| Back: | ⟨a, b | abbabaab=a⟩ |
|---|
Solved by morph:6/1,4/0. (See Morphocompletion.)
Checking up to 20 rules for overlaps.
Rewriting system is not complete: rulesLimit
| # | Rule |
|---|---|
| 1. | aaabbb ⇒ abbaba |
| 2. | aabaab ⇒ ababaa |
| 3. | ababaab ⇒ abbabaa |
| 4. | abbabaab ⇒ a |
| 5. | aaababbbab ⇒ abbabababa |
| 6. | aaabbaabb ⇒ aaababbba |
| 7. | aaabbaabbb ⇒ abbabababa |
| 8. | abbabababaa ⇒ aaab |
| 9. | abbababbabaa ⇒ aaabb |
| 10. | ababaaaab ⇒ aabababaa |
| 11. | abbabaaaab ⇒ ababababaa |
| 12. | aaababbbbabaa ⇒ aaabab |
| 13. | abbababababbaba ⇒ aaababbb |
| ... |
Collecting factors up to length 7 / frequency 4:
| [2/0] | ab | 52 | lf:39,lp:7,ls:6,rf:29,rp:6,rs:2,lprp:2,lsrp:4,lprs:1 |
|---|---|---|---|
| [2/1] | aa | 34 | lf:25,lp:6,ls:3,rf:15,rp:6,rs:4,lprp:2,lsrp:3,lprs:1 |
| [2/2] | ba | 31 | lf:30,ls:1,rf:25,rs:4 |
| [2/3] | bb | 22 | lf:19,ls:3,rf:9,rs:2 |
| [3/0] | aba | 22 | lf:19,lp:2,ls:1,rf:20,rp:2,rs:3 |
| [3/1] | abb | 20 | lf:14,lp:5,ls:1,rf:7,rp:4,rs:1,lprs:1 |
| [3/2] | bab | 20 | lf:19,ls:1,rf:17,rs:1 |
| [3/3] | aab | 19 | lf:13,lp:1,ls:5,rf:6,rp:1,rs:1,lsrp:1 |
| [4/0] | baba | 15 | lf:14,ls:1,rf:14,rs:3 |
| [4/1] | aaab | 14 | lf:7,lp:5,ls:2,rf:5,rp:5,rs:1,re:1,lprp:2,a:3 |
| [4/2] | abba | 14 | lf:9,lp:5,rf:4,rp:4 |
| [4/3] | abab | 12 | lf:10,lp:2,rf:13,rp:2,rs:1,a:1 |
| [5/0] | abbab | 12 | lf:7,lp:5,rf:4,rp:4 |
| [5/1] | babaa | 10 | lf:7,ls:3,rf:4,rs:4 |
| [5/2] | bbaba | 9 | lf:8,ls:1,rf:4,rs:1 |
| [5/3] | ababa | 8 | lf:6,lp:2,rf:10,rp:2,rs:2,a:1 |
| [6/0] | abbaba | 13 | lf:7,lp:5,ls:1,rf:4,rp:4,rs:1,re:1 |
| [6/1] | ababaa | 6 | lf:3,lp:2,ls:1,rf:3,rp:1,rs:3,re:1,lprs:1,a:1 |
| [6/2] | bbabaa | 6 | lf:4,ls:2,rf:1,rs:1 |
| [6/3] | aaabab | 4 | lf:2,lp:2,rf:3,rp:3,rs:1,re:1,lprp:1,lprs:1,a:10 |
Considering [length 6 / frequency 1] ababaa=c.
Checking up to 20 rules for overlaps.
Rewriting system is not complete: roundsLimit
| # | Rule |
|---|---|
| 1. | a ⇒ cbb |
| 2. | ccbbcbbb ⇒ cbbcbbbc |
| 3. | ccbbbcbbcb ⇒ cbcbbbcbbc |
| 4. | cbcbbbcbbcb ⇒ cbbcbbbcbbc |
| 5. | cbbcbbbcbbcb ⇒ cbbbcbbbcbbc |
| 6. | cbbbcbbbcbbcb ⇒ cbbbbcbbbcbbc |
| 7. | cbbbbcbbbcbbcb ⇒ c |
| 8. | ccbbbcbbcbb ⇒ cbbcbbbcbbc |
| 9. | cbcbbbcbbcbb ⇒ cbbbcbbbcbbc |
| 10. | ccbbcbbbcbbc ⇒ cbbcbbbccbbc |
| 11. | cbbcbbbccbbcb ⇒ ccbbbcbbbcbbc |
| 12. | cbbcbbbcbbbcbbbcbbc ⇒ ccbbcb |
| 13. | cbbbcbbbcbbbcbbbcbbc ⇒ cbcbbcb |
| 14. | cbbcbbbcbbbbcbbbcbbc ⇒ ccbbcbb |
| 15. | cbbbcbbbcbbccbbcb ⇒ ccbbbcbbbcbbbcbbc |
| 16. | cbbcbbbccbbbcbbbcbbc ⇒ cccbbcb |
| ... |
Collecting factors up to length 6 / frequency 7:
| [2/0] | bb | 83 | lf:80,ls:3,rf:52,rs:2,a:2 |
|---|---|---|---|
| [2/1] | cb | 78 | lf:60,lp:11,ls:7,rf:40,rp:10,rs:3,lprp:5,lsrp:4,lprs:3,a:2 |
| [2/2] | bc | 55 | lf:50,ls:5,rf:35,rs:10,lsrs:1,a:2 |
| [2/3] | cc | 11 | lf:7,lp:4,rf:7,rp:5,a:7 |
| [3/0] | cbb | 62 | lf:51,lp:9,ls:2,rf:35,rp:8,rs:2,re:1,lprp:2,lsrp:2,lprs:1,a:2 |
| [3/1] | bbc | 53 | lf:48,ls:5,rf:33,rs:10,lsrs:1,a:2 |
| [3/2] | bcb | 49 | lf:42,ls:7,rf:24,rs:3,a:2 |
| [3/3] | bbb | 30 | lf:29,ls:1,rf:17,a:2 |
| [3/4] | ccb | 11 | lf:7,lp:4,rf:6,rp:4,a:7 |
| [3/5] | cbc | 4 | lf:2,lp:2,rf:2,rp:2,a:2 |
| [3/6] | bcc | 3 | lf:3,rf:1,a:14 |
| [4/0] | bbcb | 47 | lf:40,ls:7,rf:22,rs:3,a:2 |
| [4/1] | bcbb | 37 | lf:35,ls:2,rf:21,rs:1,a:2 |
| [4/2] | cbbc | 32 | lf:22,lp:5,ls:5,rf:17,rp:4,rs:9,lsrp:1,lprs:2,lsrs:1,a:2 |
| [4/3] | cbbb | 32 | lf:27,lp:4,ls:1,rf:16,rp:3,lprp:1,a:2 |
| [4/4] | bbbc | 26 | lf:26,rf:16,rs:1,a:2 |
| [4/5] | ccbb | 11 | lf:7,lp:4,rf:6,rp:4,a:7 |
| [4/6] | cbcb | 4 | lf:2,lp:2,rf:2,rp:2,a:2 |
| [5/0] | bbcbb | 35 | lf:33,ls:2,rf:19,rs:1,a:2 |
| [5/1] | cbbcb | 28 | lf:16,lp:5,ls:7,rf:8,rp:4,rs:3,lsrp:1,lprs:2,a:2 |
| [5/2] | cbbbc | 27 | lf:24,lp:3,rf:15,rp:2,rs:1,a:2 |
| [5/3] | bbbcb | 24 | lf:24,rf:14,a:2 |
| [5/4] | bcbbb | 21 | lf:20,ls:1,rf:11,a:2 |
| [5/5] | bcbbc | 18 | lf:13,ls:5,rf:9,rs:8,a:2 |
| [5/6] | ccbbc | 6 | lf:4,lp:2,rf:4,rp:2,rs:1,lprs:1,a:14 |
Considering [length 4 / frequency 0] bbcb=d.
Rewriting system is complete. See ⟨a, b | abbabaab=a⟩.