| Back: | ⟨a, b | aaaabbabba=1⟩ |
|---|
Solved by morph:4/0,3/0. (See Morphocompletion.)
Checking up to 20 rules for overlaps.
Rewriting system is not complete: rulesLimit
| # | Rule |
|---|---|
| 1. | aaaabbaaa ⇒ bbaaaaaaa |
| 2. | bbabbaaaaa ⇒ 1 |
| 3. | abbabb ⇒ bbabba |
| 4. | bbabbbbaaaaaaaa ⇒ aaabb |
| 5. | bbabbaabbaaaa ⇒ abb |
| 6. | bbabbaaabbaaaa ⇒ aabb |
| 7. | abbbbabba ⇒ bbabbaabb |
| ... |
Collecting factors up to length 7 / frequency 4:
| [2/0] | aa | 31 | lf:25,lp:1,ls:5,rf:10,rp:2,rs:1,lsrp:2,lprs:1,lsrs:1,a:9 |
|---|---|---|---|
| [2/1] | bb | 24 | lf:19,lp:4,ls:1,rf:9,rp:3,rs:4,lsrp:1,lprs:3,a:9 |
| [2/2] | ba | 15 | lf:14,ls:1,rf:5,rs:1,a:9 |
| [2/3] | ab | 13 | lf:11,lp:2,rf:6,rp:1,a:9 |
| [3/0] | aaa | 23 | lf:17,lp:1,ls:5,rf:6,rp:1,rs:1,lsrp:1,lprs:1,lsrs:1,a:9 |
| [3/1] | bba | 19 | lf:14,lp:4,ls:1,rf:5,rp:3,rs:1,lsrp:1,a:9 |
| [3/2] | abb | 14 | lf:11,lp:2,ls:1,rf:6,rp:1,rs:4,re:1,lprs:1,a:9 |
| [3/3] | baa | 7 | lf:7,rf:2,a:9 |
| [4/0] | aaaa | 15 | lf:10,lp:1,ls:4,rf:4,rs:1,lprs:1,a:9 |
| [4/1] | bbab | 10 | lf:6,lp:4,rf:2,rp:2,a:15 |
| [4/2] | abba | 10 | lf:8,lp:1,ls:1,rf:2,rs:1,lprs:1,a:9 |
| [4/3] | babb | 7 | lf:6,ls:1,rf:2,a:15 |
| [5/0] | bbabb | 11 | lf:6,lp:4,ls:1,rf:2,rp:2,lsrp:10,a:15 |
| [5/1] | bbaaa | 7 | lf:6,ls:1,rf:1,rp:1,lsrp:1,a:9 |
| [5/2] | aaaaa | 7 | lf:5,ls:2,rf:3,rs:1,a:9 |
| [5/3] | abbaa | 6 | lf:6,rf:1,a:9 |
| [6/0] | bbabba | 8 | lf:4,lp:3,ls:1,rf:2,rp:2,rs:1,re:1,lsrp:1,a:15 |
| [6/1] | abbaaa | 6 | lf:5,ls:1,a:9 |
| [6/2] | bbaaaa | 6 | lf:4,ls:2,rf:1,rp:1,a:9 |
| [6/3] | aaaaaa | 4 | lf:3,ls:1,rf:2,rs:1,a:9 |
Considering [length 4 / frequency 0] aaaa=c.
Checking up to 20 rules for overlaps.
Rewriting system is not complete: roundsLimit
| # | Rule |
|---|---|
| 1. | ac ⇒ ca |
| 2. | aaaa ⇒ c |
| 3. | cbb ⇒ bbc |
| 4. | cabb ⇒ abbc |
| 5. | caabb ⇒ aabbc |
| 6. | caaabb ⇒ aaabbc |
| 7. | abbcab ⇒ babbca |
| 8. | bbabbcc ⇒ aaa |
| 9. | bbabbca ⇒ 1 |
| 10. | cbbabbc ⇒ aaa |
| 11. | cbbabba ⇒ 1 |
| 12. | abbabb ⇒ bbabba |
| 13. | abbabbc ⇒ 1 |
| 14. | cabbabb ⇒ 1 |
| 15. | bbcbabbca ⇒ cb |
| ... |
Collecting factors up to length 6 / frequency 7:
| [2/0] | bb | 30 | lf:21,lp:3,ls:6,rf:7,rp:2,lsrp:11,a:2 |
|---|---|---|---|
| [2/1] | ab | 20 | lf:16,lp:3,ls:1,rf:5,rp:1,a:2 |
| [2/2] | ca | 13 | lf:7,lp:4,ls:2,rf:2,rp:1,rs:2,re:1,a:3 |
| [2/3] | ba | 10 | lf:9,ls:1,rf:3,rp:1,rs:1,a:2 |
| [2/4] | bc | 9 | lf:7,ls:2,rf:5,rs:4,a:4 |
| [2/5] | aa | 8 | lf:6,lp:1,ls:1,rf:7,rp:4,rs:2,a:1 |
| [2/6] | cb | 7 | lf:4,lp:3,rf:1,rp:1,rs:1,re:1,a:2 |
| [3/0] | abb | 23 | lf:15,lp:3,ls:5,rf:5,rp:1,lsrp:10,a:2 |
| [3/1] | bba | 11 | lf:8,lp:2,ls:1,rf:2,rp:1,rs:1,a:2 |
| [3/2] | bbc | 10 | lf:7,lp:1,ls:2,rf:5,rp:1,rs:4,re:1,a:4 |
| [3/3] | bab | 8 | lf:8,rf:2,rp:1,a:2 |
| [3/4] | cab | 6 | lf:3,lp:2,ls:1,a:9 |
| [3/5] | bca | 5 | lf:3,ls:2,rf:1,rs:1,a:24 |
| [3/6] | aaa | 5 | lf:3,lp:1,ls:1,rf:3,rp:3,rs:2,re:2,a:1 |
| [4/0] | babb | 10 | lf:8,ls:2,rf:2,rp:1,a:2 |
| [4/1] | bbab | 9 | lf:7,lp:2,rf:1,rp:1,a:2 |
| [4/2] | abbc | 9 | lf:6,lp:1,ls:2,rf:4,rp:1,rs:3,re:1,a:4 |
| [4/3] | abba | 7 | lf:4,lp:2,ls:1,rf:1,rs:1,lprs:1,a:2 |
| [4/4] | bbca | 5 | lf:3,ls:2,rf:1,rs:1,a:24 |
| [4/5] | aabb | 4 | lf:2,ls:2,rf:2,rp:1,lsrp:10,a:29 |
| [4/6] | cbba | 4 | lf:2,lp:2,a:2 |
| [5/0] | bbabb | 11 | lf:7,lp:2,ls:2,rf:1,rp:1,lsrp:10,a:2 |
| [5/1] | babbc | 7 | lf:5,ls:2,rf:1,rp:1,a:4 |
| [5/2] | abbca | 6 | lf:3,lp:1,ls:2,rf:1,rs:1,lprs:10,a:24 |
| [5/3] | abbab | 5 | lf:3,lp:2,a:9 |
| [5/4] | cbbab | 4 | lf:2,lp:2,a:2 |
| [5/5] | babba | 2 | lf:1,ls:1,rf:1,rs:1,a:2 |
| [5/6] | bbcab | 2 | lf:1,ls:1,a:27 |
Considering [length 3 / frequency 0] abb=d.
Rewriting system is complete. See ⟨a, b | aaaabbabba=1⟩.