| Back: | ⟨a, b | ababbaabba=1⟩ |
|---|
Solved by morph:2/0,4/0. (See Morphocompletion.)
Checking up to 20 rules for overlaps.
Rewriting system is not complete: rulesLimit
| # | Rule |
|---|---|
| 1. | abba ⇒ baab |
| 2. | abbaa ⇒ baaba |
| 3. | ababab ⇒ bbabaa |
| 4. | babbabaa ⇒ bbabaaba |
| 5. | abbbabaa ⇒ bbabaaab |
| 6. | bbaababba ⇒ bbabaabab |
| 7. | abbabaaba ⇒ babaababa |
| 8. | bbabaababa ⇒ 1 |
| 9. | bbabaaabbaba ⇒ ab |
| 10. | abbababaababa ⇒ baa |
| ... |
Collecting factors up to length 7 / frequency 4:
| [2/0] | ba | 35 | lf:28,lp:1,ls:6,rf:18,rp:4,rs:3,lsrp:3,lprs:1,lsrs:1,a:17 |
|---|---|---|---|
| [2/1] | ab | 32 | lf:25,lp:6,ls:1,rf:14,rp:1,rs:4,re:1,lprs:2,a:17 |
| [2/2] | bb | 15 | lf:12,lp:3,rf:4,rp:4,lprp:1,a:17 |
| [2/3] | aa | 12 | lf:9,ls:3,rf:9,rs:2,a:17 |
| [3/0] | aba | 21 | lf:16,lp:1,ls:4,rf:10,rs:3,lsrs:1,a:17 |
| [3/1] | bab | 16 | lf:14,lp:1,ls:1,rf:7,rp:1,rs:1,a:18 |
| [3/2] | bba | 16 | lf:11,lp:3,ls:2,rf:4,rp:4,lprp:1,lsrp:1,a:17 |
| [3/3] | abb | 13 | lf:8,lp:5,a:17 |
| [4/0] | baba | 14 | lf:11,ls:3,rf:6,rp:1,rs:1,a:18 |
| [4/1] | abba | 10 | lf:6,lp:3,ls:1,a:17 |
| [4/2] | bbab | 9 | lf:7,lp:2,rf:4,rp:4,a:18 |
| [4/3] | abaa | 8 | lf:6,ls:2,rf:5,rs:1,a:18 |
| [5/0] | bbaba | 10 | lf:7,lp:2,ls:1,rf:4,rp:4,a:18 |
| [5/1] | babaa | 8 | lf:6,ls:2,rf:5,rp:1,rs:1,a:18 |
| [5/2] | ababa | 7 | lf:4,lp:1,ls:2,rf:1,rs:1,a:18 |
| [5/3] | abbab | 6 | lf:4,lp:2,a:20 |
| [6/0] | bbabaa | 9 | lf:5,lp:2,ls:2,rf:4,rp:4,rs:1,re:1,lsrp:2,a:18 |
| [6/1] | abbaba | 7 | lf:4,lp:2,ls:1,a:20 |
| [6/2] | aababa | 4 | lf:2,ls:2,rf:1,rs:1,a:21 |
| [6/3] | abaaba | 4 | lf:3,ls:1,rf:3,rs:1,a:20 |
Considering [length 2 / frequency 0] ba=c.
Checking up to 20 rules for overlaps.
Rewriting system is not complete: roundsLimit
| # | Rule |
|---|---|
| 1. | cccbcc ⇒ b |
| 2. | cccbb ⇒ bcbcc |
| 3. | ba ⇒ c |
| 4. | bccacc ⇒ 1 |
| 5. | cbca ⇒ bcac |
| 6. | cbcca ⇒ bccac |
| 7. | accbc ⇒ bccac |
| 8. | bbcca ⇒ cccb |
| 9. | bcab ⇒ cbc |
| 10. | bcacb ⇒ ccbc |
| 11. | bccab ⇒ cbcc |
| 12. | cbcccacb ⇒ bc |
| 13. | accbb ⇒ cbcc |
| ... |
Collecting factors up to length 6 / frequency 7:
| [2/0] | cc | 18 | lf:14,lp:2,ls:2,rf:8,rp:2,rs:3,lprs:1,a:20 |
|---|---|---|---|
| [2/1] | bc | 15 | lf:10,lp:4,ls:1,rf:10,rp:5,rs:3,re:1,lsrp:1,lprs:2,a:15 |
| [2/2] | cb | 14 | lf:9,lp:3,ls:2,rf:6,rp:3,rs:1,a:15 |
| [2/3] | ca | 11 | lf:8,ls:3,rf:3,a:15 |
| [2/4] | ac | 7 | lf:5,lp:2,rf:3,rs:3,lprs:1,a:15 |
| [2/5] | bb | 6 | lf:3,lp:1,ls:2,a:38 |
| [2/6] | ab | 4 | lf:2,ls:2,a:16 |
| [3/0] | cbc | 9 | lf:5,lp:3,ls:1,rf:5,rp:3,rs:2,re:1,a:15 |
| [3/1] | bcc | 9 | lf:6,lp:2,ls:1,rf:5,rp:2,rs:3,lprs:1,a:20 |
| [3/2] | cca | 7 | lf:5,ls:2,rf:2,a:20 |
| [3/3] | bca | 6 | lf:3,lp:2,ls:1,rf:1,rp:1,lsrp:10,a:15 |
| [3/4] | acc | 6 | lf:3,lp:2,ls:1,a:26 |
| [3/5] | ccc | 5 | lf:3,lp:2,rf:1,rp:1,a:35 |
| [3/6] | cab | 4 | lf:2,ls:2,a:16 |
| [4/0] | bcca | 8 | lf:4,lp:2,ls:2,rf:2,rp:2,lsrp:10,a:20 |
| [4/1] | cbcc | 6 | lf:3,lp:2,ls:1,rf:3,rp:2,rs:3,re:2,a:20 |
| [4/2] | cacb | 4 | lf:2,ls:2,a:22 |
| [4/3] | accb | 4 | lf:2,lp:2,a:27 |
| [4/4] | ccbb | 4 | lf:2,ls:2,a:38 |
| [4/5] | cccb | 4 | lf:2,lp:2,rf:1,rp:1,rs:1,re:1,a:35 |
| [4/6] | ccbc | 3 | lf:2,ls:1,rf:1,rp:1,rs:1,re:1,a:22 |
| [5/0] | ccacb | 2 | lf:1,ls:1,a:41 |
| [5/1] | bccac | 2 | lf:1,lp:1,rf:2,rp:2,rs:2,re:2,a:20 |
| [5/2] | ccacc | 2 | lf:1,ls:1,a:26 |
| [5/3] | cccbc | 2 | lf:1,lp:1,a:35 |
| [5/4] | ccbcc | 2 | lf:1,ls:1,a:35 |
| [5/5] | cbccc | 2 | lf:1,lp:1,a:41 |
| [5/6] | bccca | 1 | lf:1,a:41 |
Considering [length 4 / frequency 0] bcca=d.
Rewriting system is complete. See ⟨a, b | ababbaabba=1⟩.