| Back: | ⟨a, b | ababab=aabba⟩ |
|---|
Solved by morph:2/0,4/0. (See Morphocompletion.)
Checking up to 20 rules for overlaps.
Rewriting system is not complete: arenaTotalLimit
| # | Rule |
|---|---|
| 1. | ababab ⇒ aabba |
| 2. | abaabba ⇒ aabbaab |
| 3. | aabbaabbabab ⇒ aabbaababba |
| 4. | aabbaabbaabba ⇒ aabbaababbaab |
| 5. | aabbaababbabab ⇒ aabbaaabbaba |
| 6. | aabbaababbaabba ⇒ aabbaaabbabaab |
| 7. | aabbaabbaababba ⇒ aabbaaabbabaabb |
| 8. | aabbaababbaababba ⇒ aabbaaabbaabbaabb |
| 9. | aabbaaabbabaabbbab ⇒ aabbaabbaaabbaba |
| 10. | aabbaaabbaababbaabb ⇒ aabbaaabbabaababba |
| 11. | aabbaaabbaabbaabbba ⇒ aabbaabbaaabbabaab |
| ... |
Collecting factors up to length 7 / frequency 4:
| [2/0] | ab | 50 | lf:44,lp:2,ls:4,rf:39,rs:4,lprs:1 |
|---|---|---|---|
| [2/1] | ba | 45 | lf:39,ls:6,rf:33,rs:5 |
| [2/2] | aa | 40 | lf:31,lp:9,rf:37,rp:11,lprp:9 |
| [2/3] | bb | 31 | lf:30,ls:1,rf:26,rs:2 |
| [3/0] | aab | 37 | lf:28,lp:9,rf:30,rp:11,rs:4,lprp:9,lprs:3 |
| [3/1] | bba | 33 | lf:27,ls:6,rf:24,rs:3 |
| [3/2] | abb | 29 | lf:28,ls:1,rf:26,rs:2 |
| [3/3] | baa | 19 | lf:19,rf:19,a:1 |
| [4/0] | aabb | 32 | lf:22,lp:9,ls:1,rf:23,rp:11,rs:2,lprp:9,lsrp:1,lprs:2 |
| [4/1] | abba | 30 | lf:25,ls:5,rf:24,rs:3 |
| [4/2] | bbaa | 17 | lf:17,rf:15,a:1 |
| [4/3] | baab | 16 | lf:16,rf:12,rs:4,a:1 |
| [5/0] | aabba | 31 | lf:19,lp:9,ls:3,rf:21,rp:11,rs:1,re:1,lprp:9,lsrp:3 |
| [5/1] | abbaa | 17 | lf:17,rf:15,a:1 |
| [5/2] | bbaab | 14 | lf:14,rf:8,rs:2,a:1 |
| [5/3] | baabb | 11 | lf:10,ls:1,rf:5,rs:2,a:1 |
| [6/0] | aabbaa | 23 | lf:14,lp:9,rf:14,rp:10,lprp:9,a:1 |
| [6/1] | abbaab | 14 | lf:14,rf:8,rs:2,a:1 |
| [6/2] | baabba | 10 | lf:7,ls:3,rf:3,a:1 |
| [6/3] | bbaabb | 9 | lf:8,ls:1,rf:4,rs:1,a:2 |
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. | acbc ⇒ cccb |
| 3. | ccccba ⇒ cccbcc |
| 4. | cccbccb ⇒ ccccbc |
| 5. | ccccbcccb ⇒ cccbcccbc |
| 6. | acba ⇒ ccc |
| 7. | cccbcccba ⇒ ccccbccc |
| 8. | cccbcccbca ⇒ cccccbccc |
| 9. | cccbcccbcca ⇒ ccccccbccc |
| 10. | cccbcccbccca ⇒ cccccccbccc |
| 11. | cccbcccbcccca ⇒ ccccccccbccc |
| 12. | cccbcccbccccca ⇒ cccccccccbccc |
| 13. | cccbcccbcccccca ⇒ ccccccccccbccc |
| 14. | ccccbccccbca ⇒ cccbccccbccc |
| 15. | ccccbccccbcca ⇒ cccbcccccbccc |
| 16. | ccccbccccbccca ⇒ cccbccccccbccc |
| 17. | cccbcccbcccb ⇒ ccccbccccbc |
| 18. | cccbcccbccccb ⇒ cccccbccccbc |
| 19. | cccbcccbcccccb ⇒ ccccccbccccbc |
| 20. | cccbcccbccccccb ⇒ cccccccbccccbc |
| ... |
Collecting factors up to length 6 / frequency 7:
| [2/0] | cc | 122 | lf:105,lp:17,rf:124,rp:19,rs:12,lprp:17,lprs:11,a:2 |
|---|---|---|---|
| [2/1] | cb | 45 | lf:39,ls:6,rf:26,rs:1,a:2 |
| [2/2] | bc | 31 | lf:30,ls:1,rf:25,rs:6,a:3 |
| [2/3] | ca | 18 | lf:9,ls:9,a:9 |
| [2/4] | ba | 6 | lf:3,ls:3,a:2 |
| [2/5] | ac | 4 | lf:2,lp:2,a:2 |
| [3/0] | ccc | 78 | lf:61,lp:17,rf:86,rp:19,rs:11,re:1,lprp:17,lprs:10,a:2 |
| [3/1] | ccb | 43 | lf:37,ls:6,rf:26,rs:1,a:3 |
| [3/2] | cbc | 31 | lf:30,ls:1,rf:25,rs:6,a:3 |
| [3/3] | bcc | 27 | lf:27,rf:19,rs:1,a:4 |
| [3/4] | cca | 14 | lf:7,ls:7,a:11 |
| [3/5] | cba | 6 | lf:3,ls:3,a:2 |
| [3/6] | bca | 4 | lf:2,ls:2,a:9 |
| [4/0] | cccb | 53 | lf:36,lp:12,ls:5,rf:26,rp:6,rs:1,re:1,lsrp:1,a:3 |
| [4/1] | ccbc | 29 | lf:29,rf:25,rs:6,a:4 |
| [4/2] | cbcc | 27 | lf:27,rf:19,rs:1,a:4 |
| [4/3] | cccc | 25 | lf:20,lp:5,rf:49,rp:12,a:4 |
| [4/4] | bccc | 24 | lf:24,rf:18,rs:10,a:6 |
| [4/5] | ccca | 10 | lf:5,ls:5,a:15 |
| [4/6] | ccba | 4 | lf:2,ls:2,a:4 |
| [5/0] | cccbc | 41 | lf:29,lp:12,rf:25,rp:5,rs:6,lprs:5,a:4 |
| [5/1] | ccbcc | 27 | lf:27,rf:19,rs:1,a:4 |
| [5/2] | cbccc | 24 | lf:24,rf:18,rs:10,a:6 |
| [5/3] | ccccb | 19 | lf:11,lp:5,ls:3,rf:19,rp:3,a:4 |
| [5/4] | bcccb | 15 | lf:13,ls:2,rf:1,a:6 |
| [5/5] | bcccc | 9 | lf:9,rf:7,a:8 |
| [5/6] | cccca | 6 | lf:3,ls:3,a:19 |
Considering [length 4 / frequency 0] cccb=d.
Rewriting system is complete. See ⟨a, b | ababab=aabba⟩.